---
_id: '64816'
abstract:
- lang: eng
text: "We study a block mean-field Ising model with $N$ spins split into $s_N$ blocks,
with Curie-Weiss interaction within blocks and nearest-neighbor coupling between
blocks. While previous models deal with the block magnetization for a fixed number
of blocks, we study the the simultaneous limit $N\\to\\infty$ and $s_N\\to\\infty$.
The model interpolates between Curie-Weiss model for $s_N=1$, multi-species mean
field for fixed $s_N=s$, and the 1D Ising model for each spin in its own block
at $s_N=N$.\r\n Under mild growth conditions on $s_N$, we prove a law of large
numbers and a multivariate CLT with covariance given by the lattice Green's function.
For instance, the high temperature CLT essentially covers the optimal range up
to $s_N=o(N/(\\log N)^c)$ and the low temperature regime is new even for fixed
number of blocks $s > 2$. In addition to the standard competition between entropy
and energy, a new obstacle in the proofs is a curse of dimensionality as $s_N
\\to \\infty$."
author:
- first_name: Jonas
full_name: Jalowy, Jonas
id: '113768'
last_name: Jalowy
orcid: 0000-0001-9624-2685
- first_name: Isabel
full_name: Lammers, Isabel
last_name: Lammers
- first_name: Matthias
full_name: Löwe, Matthias
last_name: Löwe
citation:
ama: Jalowy J, Lammers I, Löwe M. The infinite block spin Ising model. arXiv:260301994.
Published online 2026.
apa: Jalowy, J., Lammers, I., & Löwe, M. (2026). The infinite block spin Ising
model. In arXiv:2603.01994.
bibtex: '@article{Jalowy_Lammers_Löwe_2026, title={The infinite block spin Ising
model}, journal={arXiv:2603.01994}, author={Jalowy, Jonas and Lammers, Isabel
and Löwe, Matthias}, year={2026} }'
chicago: Jalowy, Jonas, Isabel Lammers, and Matthias Löwe. “The Infinite Block Spin
Ising Model.” ArXiv:2603.01994, 2026.
ieee: J. Jalowy, I. Lammers, and M. Löwe, “The infinite block spin Ising model,”
arXiv:2603.01994. 2026.
mla: Jalowy, Jonas, et al. “The Infinite Block Spin Ising Model.” ArXiv:2603.01994,
2026.
short: J. Jalowy, I. Lammers, M. Löwe, ArXiv:2603.01994 (2026).
date_created: 2026-03-03T08:49:16Z
date_updated: 2026-03-03T08:49:33Z
department:
- _id: '94'
external_id:
arxiv:
- '2603.01994'
language:
- iso: eng
publication: arXiv:2603.01994
status: public
title: The infinite block spin Ising model
type: preprint
user_id: '113768'
year: '2026'
...
---
_id: '59664'
abstract:
- lang: eng
text: "Given a sequence of polynomials $(P_n)_{n \\in \\mathbb{N}}$ with only\r\nnonpositive
zeros, the aim of this article is to present a user-friendly\r\napproach for determining
the limiting zero distribution of $P_n$ as\r\n$\\mathrm{deg}\\, P_n \\to \\infty$.
The method is based on establishing an\r\nequivalence between the existence of
a limiting empirical zero distribution\r\n$\\mu$ and the existence of an exponential
profile $g$ associated with the\r\ncoefficients of the polynomials $(P_n)_{n \\in
\\mathbb{N}}$. The exponential\r\nprofile $g$, which can be roughly described
by $[z^k]P_n(z) \\approx \\exp(n\r\ng(k/n))$, offers a direct route to computing
the Cauchy transform $G$ of $\\mu$:\r\nthe functions $t \\mapsto tG(t)$ and $\\alpha
\\mapsto \\exp(-g'(\\alpha))$ are\r\nmutual inverses. This relationship, in various
forms, has previously appeared\r\nin the literature, most notably in the paper
[Van Assche, Fano and Ortolani,\r\nSIAM J. Math. Anal., 1987].\r\n As a first
contribution, we present a self-contained probabilistic proof of\r\nthis equivalence
by representing the polynomials as generating functions of\r\nsums of independent
Bernoulli random variables. This probabilistic framework\r\nnaturally lends itself
to tools from large deviation theory, such as the\r\nexponential change of measure.
The resulting theorems generalize and unify a\r\nrange of previously known results,
which were traditionally established through\r\nanalytic or combinatorial methods.\r\n
\ Secondly, using the profile-based approach, we investigate how the\r\nexponential
profile and the limiting zero distribution behave under certain\r\noperations
on polynomials, including finite free convolutions, Hadamard\r\nproducts, and
repeated differentiation. In particular, our approach yields new\r\nproofs of
the convergence results `$\\boxplus_n \\to \\boxplus$' and `$\\boxtimes_n\r\n\\to
\\boxtimes$', extending them to cases where the distributions are not\r\nnecessarily
compactly supported."
author:
- first_name: Jonas
full_name: Jalowy, Jonas
id: '113768'
last_name: Jalowy
orcid: 0000-0001-9624-2685
- first_name: Zakhar
full_name: Kabluchko, Zakhar
last_name: Kabluchko
- first_name: Alexander
full_name: Marynych, Alexander
last_name: Marynych
citation:
ama: 'Jalowy J, Kabluchko Z, Marynych A. Zeros and exponential profiles of polynomials
I: Limit distributions, finite free convolutions and repeated differentiation.
arXiv:250411593. Published online 2025.'
apa: 'Jalowy, J., Kabluchko, Z., & Marynych, A. (2025). Zeros and exponential
profiles of polynomials I: Limit distributions, finite free convolutions and
repeated differentiation. In arXiv:2504.11593.'
bibtex: '@article{Jalowy_Kabluchko_Marynych_2025, title={Zeros and exponential profiles
of polynomials I: Limit distributions, finite free convolutions and repeated
differentiation}, journal={arXiv:2504.11593}, author={Jalowy, Jonas and Kabluchko,
Zakhar and Marynych, Alexander}, year={2025} }'
chicago: 'Jalowy, Jonas, Zakhar Kabluchko, and Alexander Marynych. “Zeros and Exponential
Profiles of Polynomials I: Limit Distributions, Finite Free Convolutions and
Repeated Differentiation.” ArXiv:2504.11593, 2025.'
ieee: 'J. Jalowy, Z. Kabluchko, and A. Marynych, “Zeros and exponential profiles
of polynomials I: Limit distributions, finite free convolutions and repeated
differentiation,” arXiv:2504.11593. 2025.'
mla: 'Jalowy, Jonas, et al. “Zeros and Exponential Profiles of Polynomials I: Limit
Distributions, Finite Free Convolutions and Repeated Differentiation.” ArXiv:2504.11593,
2025.'
short: J. Jalowy, Z. Kabluchko, A. Marynych, ArXiv:2504.11593 (2025).
date_created: 2025-04-23T14:37:41Z
date_updated: 2025-04-23T14:38:04Z
department:
- _id: '94'
external_id:
arxiv:
- '2504.11593'
language:
- iso: eng
publication: arXiv:2504.11593
status: public
title: 'Zeros and exponential profiles of polynomials I: Limit distributions, finite
free convolutions and repeated differentiation'
type: preprint
user_id: '113768'
year: '2025'
...
---
_id: '59665'
article_number: '110974'
author:
- first_name: Matthias
full_name: Erbar, Matthias
last_name: Erbar
- first_name: Martin
full_name: Huesmann, Martin
last_name: Huesmann
- first_name: Jonas
full_name: Jalowy, Jonas
id: '113768'
last_name: Jalowy
orcid: 0000-0001-9624-2685
- first_name: Bastian
full_name: Müller, Bastian
last_name: Müller
citation:
ama: 'Erbar M, Huesmann M, Jalowy J, Müller B. Optimal transport of stationary point
processes: Metric structure, gradient flow and convexity of the specific entropy.
Journal of Functional Analysis. 2025;289(4). doi:10.1016/j.jfa.2025.110974'
apa: 'Erbar, M., Huesmann, M., Jalowy, J., & Müller, B. (2025). Optimal transport
of stationary point processes: Metric structure, gradient flow and convexity of
the specific entropy. Journal of Functional Analysis, 289(4), Article
110974. https://doi.org/10.1016/j.jfa.2025.110974'
bibtex: '@article{Erbar_Huesmann_Jalowy_Müller_2025, title={Optimal transport of
stationary point processes: Metric structure, gradient flow and convexity of the
specific entropy}, volume={289}, DOI={10.1016/j.jfa.2025.110974},
number={4110974}, journal={Journal of Functional Analysis}, publisher={Elsevier
BV}, author={Erbar, Matthias and Huesmann, Martin and Jalowy, Jonas and Müller,
Bastian}, year={2025} }'
chicago: 'Erbar, Matthias, Martin Huesmann, Jonas Jalowy, and Bastian Müller. “Optimal
Transport of Stationary Point Processes: Metric Structure, Gradient Flow and Convexity
of the Specific Entropy.” Journal of Functional Analysis 289, no. 4 (2025).
https://doi.org/10.1016/j.jfa.2025.110974.'
ieee: 'M. Erbar, M. Huesmann, J. Jalowy, and B. Müller, “Optimal transport of stationary
point processes: Metric structure, gradient flow and convexity of the specific
entropy,” Journal of Functional Analysis, vol. 289, no. 4, Art. no. 110974,
2025, doi: 10.1016/j.jfa.2025.110974.'
mla: 'Erbar, Matthias, et al. “Optimal Transport of Stationary Point Processes:
Metric Structure, Gradient Flow and Convexity of the Specific Entropy.” Journal
of Functional Analysis, vol. 289, no. 4, 110974, Elsevier BV, 2025, doi:10.1016/j.jfa.2025.110974.'
short: M. Erbar, M. Huesmann, J. Jalowy, B. Müller, Journal of Functional Analysis
289 (2025).
date_created: 2025-04-23T14:39:50Z
date_updated: 2025-04-23T14:41:19Z
department:
- _id: '94'
doi: 10.1016/j.jfa.2025.110974
intvolume: ' 289'
issue: '4'
language:
- iso: eng
publication: Journal of Functional Analysis
publication_identifier:
issn:
- 0022-1236
publication_status: published
publisher: Elsevier BV
status: public
title: 'Optimal transport of stationary point processes: Metric structure, gradient
flow and convexity of the specific entropy'
type: journal_article
user_id: '113768'
volume: 289
year: '2025'
...
---
_id: '60293'
abstract:
- lang: eng
text: "In this work, we present a complete characterization of the covariance\r\nstructure
of number statistics in boxes for hyperuniform point processes. Under\r\na standard
integrability assumption, the covariance depends solely on the\r\noverlap of the
faces of the box. Beyond this assumption, a novel interpolating\r\ncovariance
structure emerges. This enables us to identify a limiting Gaussian\r\n'coarse-grained'
process, counting the number of points in large boxes as a\r\nfunction of the
box position. Depending on the integrability assumption, this\r\nprocess may be
continuous or discontinuous, e.g. in d=1 it is given by an\r\nincrement process
of a fractional Brownian motion."
author:
- first_name: Jonas
full_name: Jalowy, Jonas
id: '113768'
last_name: Jalowy
orcid: 0000-0001-9624-2685
- first_name: Hanna
full_name: Stange, Hanna
last_name: Stange
citation:
ama: Jalowy J, Stange H. Box-Covariances of Hyperuniform Point Processes. arXiv:250613661.
Published online 2025.
apa: Jalowy, J., & Stange, H. (2025). Box-Covariances of Hyperuniform Point
Processes. In arXiv:2506.13661.
bibtex: '@article{Jalowy_Stange_2025, title={Box-Covariances of Hyperuniform Point
Processes}, journal={arXiv:2506.13661}, author={Jalowy, Jonas and Stange, Hanna},
year={2025} }'
chicago: Jalowy, Jonas, and Hanna Stange. “Box-Covariances of Hyperuniform Point
Processes.” ArXiv:2506.13661, 2025.
ieee: J. Jalowy and H. Stange, “Box-Covariances of Hyperuniform Point Processes,”
arXiv:2506.13661. 2025.
mla: Jalowy, Jonas, and Hanna Stange. “Box-Covariances of Hyperuniform Point Processes.”
ArXiv:2506.13661, 2025.
short: J. Jalowy, H. Stange, ArXiv:2506.13661 (2025).
date_created: 2025-06-22T08:02:28Z
date_updated: 2025-06-22T08:03:20Z
department:
- _id: '94'
external_id:
arxiv:
- '2506.13661'
language:
- iso: eng
publication: arXiv:2506.13661
status: public
title: Box-Covariances of Hyperuniform Point Processes
type: preprint
user_id: '113768'
year: '2025'
...
---
_id: '59507'
abstract:
- lang: eng
text: Differential equations posed on quadratic matrix Lie groups arise in the context
of classical mechanics and quantum dynamical systems. Lie group numerical integrators
preserve the constants of motions defining the Lie group. Thus, they respect important
physical laws of the dynamical system, such as unitarity and energy conservation
in the context of quantum dynamical systems, for instance. In this article we
develop a high-order commutator free Lie group integrator for non-autonomous differential
equations evolving on quadratic Lie groups. Instead of matrix exponentials, which
are expensive to evaluate and need to be approximated by appropriate rational
functions in order to preserve the Lie group structure, the proposed method is
obtained as a composition of Cayley transforms which naturally respect the structure
of quadratic Lie groups while being computationally efficient to evaluate. Unlike
Cayley-Magnus methods the method is also free from nested matrix commutators.
author:
- first_name: Boris Edgar
full_name: Wembe Moafo, Boris Edgar
id: '95394'
last_name: Wembe Moafo
- first_name: 'Cristian '
full_name: 'Offen, Cristian '
last_name: Offen
- first_name: Sofya
full_name: Maslovskaya, Sofya
id: '87909'
last_name: Maslovskaya
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: Pranav
full_name: Singh, Pranav
last_name: Singh
citation:
ama: Wembe Moafo BE, Offen C, Maslovskaya S, Ober-Blöbaum S, Singh P. Commutator-free
Cayley methods. J Comput Appl Math. 477(15). doi:10.1016/j.cam.2025.117184
apa: Wembe Moafo, B. E., Offen, C., Maslovskaya, S., Ober-Blöbaum, S., & Singh,
P. (n.d.). Commutator-free Cayley methods. J. Comput. Appl. Math, 477(15).
https://doi.org/10.1016/j.cam.2025.117184
bibtex: '@article{Wembe Moafo_Offen_Maslovskaya_Ober-Blöbaum_Singh, title={Commutator-free
Cayley methods}, volume={477}, DOI={10.1016/j.cam.2025.117184},
number={15}, journal={J. Comput. Appl. Math}, author={Wembe Moafo, Boris Edgar
and Offen, Cristian and Maslovskaya, Sofya and Ober-Blöbaum, Sina and Singh,
Pranav} }'
chicago: Wembe Moafo, Boris Edgar, Cristian Offen, Sofya Maslovskaya, Sina Ober-Blöbaum,
and Pranav Singh. “Commutator-Free Cayley Methods.” J. Comput. Appl. Math
477, no. 15 (n.d.). https://doi.org/10.1016/j.cam.2025.117184.
ieee: 'B. E. Wembe Moafo, C. Offen, S. Maslovskaya, S. Ober-Blöbaum, and P. Singh,
“Commutator-free Cayley methods,” J. Comput. Appl. Math, vol. 477, no.
15, doi: 10.1016/j.cam.2025.117184.'
mla: Wembe Moafo, Boris Edgar, et al. “Commutator-Free Cayley Methods.” J. Comput.
Appl. Math, vol. 477, no. 15, doi:10.1016/j.cam.2025.117184.
short: B.E. Wembe Moafo, C. Offen, S. Maslovskaya, S. Ober-Blöbaum, P. Singh, J.
Comput. Appl. Math 477 (n.d.).
date_created: 2025-04-10T14:42:52Z
date_updated: 2025-12-16T15:17:27Z
department:
- _id: '94'
doi: 10.1016/j.cam.2025.117184
intvolume: ' 477'
issue: '15'
language:
- iso: eng
publication: J. Comput. Appl. Math
publication_status: submitted
status: public
title: Commutator-free Cayley methods
type: journal_article
user_id: '95394'
volume: 477
year: '2025'
...
---
_id: '63394'
abstract:
- lang: eng
text: We study the statistics of the number of real eigenvalues in the elliptic
deformation of the real Ginibre ensemble. As the matrix dimension grows, the law
of large numbers and the central limit theorem for the number of real eigenvalues
are well understood, but the probabilities of rare events remain largely unexplored.
Large deviation type results have been obtained only in extreme cases, when either
a vanishingly small proportion of eigenvalues are real or almost all eigenvalues
are real. Here, in both the strong and weak asymmetry regimes, we derive the probabilities
of rare events in the moderate-to-large deviation regime, thereby providing a
natural connection between the previously known regime of Gaussian fluctuations
and the large deviation regime. Our results are new even for the classical real
Ginibre ensemble.
author:
- first_name: Sung-Soo
full_name: Byun, Sung-Soo
last_name: Byun
- first_name: Jonas
full_name: Jalowy, Jonas
id: '113768'
last_name: Jalowy
orcid: 0000-0001-9624-2685
- first_name: Yong-Woo
full_name: Lee, Yong-Woo
last_name: Lee
- first_name: Grégory
full_name: Schehr, Grégory
last_name: Schehr
citation:
ama: Byun S-S, Jalowy J, Lee Y-W, Schehr G. Moderate-to-large deviation asymptotics
for real eigenvalues of the elliptic Ginibre matrices. arXiv:251109191.
Published online 2025.
apa: Byun, S.-S., Jalowy, J., Lee, Y.-W., & Schehr, G. (2025). Moderate-to-large
deviation asymptotics for real eigenvalues of the elliptic Ginibre matrices. In
arXiv:2511.09191.
bibtex: '@article{Byun_Jalowy_Lee_Schehr_2025, title={Moderate-to-large deviation
asymptotics for real eigenvalues of the elliptic Ginibre matrices}, journal={arXiv:2511.09191},
author={Byun, Sung-Soo and Jalowy, Jonas and Lee, Yong-Woo and Schehr, Grégory},
year={2025} }'
chicago: Byun, Sung-Soo, Jonas Jalowy, Yong-Woo Lee, and Grégory Schehr. “Moderate-to-Large
Deviation Asymptotics for Real Eigenvalues of the Elliptic Ginibre Matrices.”
ArXiv:2511.09191, 2025.
ieee: S.-S. Byun, J. Jalowy, Y.-W. Lee, and G. Schehr, “Moderate-to-large deviation
asymptotics for real eigenvalues of the elliptic Ginibre matrices,” arXiv:2511.09191.
2025.
mla: Byun, Sung-Soo, et al. “Moderate-to-Large Deviation Asymptotics for Real Eigenvalues
of the Elliptic Ginibre Matrices.” ArXiv:2511.09191, 2025.
short: S.-S. Byun, J. Jalowy, Y.-W. Lee, G. Schehr, ArXiv:2511.09191 (2025).
date_created: 2025-12-22T08:37:02Z
date_updated: 2025-12-22T08:37:35Z
department:
- _id: '94'
external_id:
arxiv:
- '2511.09191'
language:
- iso: eng
publication: arXiv:2511.09191
status: public
title: Moderate-to-large deviation asymptotics for real eigenvalues of the elliptic
Ginibre matrices
type: preprint
user_id: '113768'
year: '2025'
...
---
_id: '63393'
abstract:
- lang: eng
text: 'We study the evolution of zeros of high polynomial powers under the heat
flow. For any fixed polynomial $P(z)$, we prove that the empirical zero distribution
of its heat-evolved $n$-th power converges to a distribution on the complex plane
as $n$ tends to infinity. We describe this limit distribution $μ_t$ as a function
of the time parameter $t$ of the heat evolution: For small time, zeros start to
spread out in approximately semicircular distributions, then intricate curves
start to form and merge, until for large time, the zero distribution approaches
a widespread semicircle law through the initial center of mass. The Stieltjes
transform of the limit distribution $μ_t$ satisfies a self-consistent equation
and a Burgers'' equation. The present paper deals with general complex-rooted
polynomials for which, in contrast to the real-rooted case, no free-probabilistic
representation for $μ_t$ is available.'
author:
- first_name: Antonia
full_name: Höfert, Antonia
last_name: Höfert
- first_name: Jonas
full_name: Jalowy, Jonas
id: '113768'
last_name: Jalowy
orcid: 0000-0001-9624-2685
- first_name: Zakhar
full_name: Kabluchko, Zakhar
last_name: Kabluchko
citation:
ama: Höfert A, Jalowy J, Kabluchko Z. Zeros of polynomial powers under the heat
flow. arXiv:251217808. Published online 2025.
apa: Höfert, A., Jalowy, J., & Kabluchko, Z. (2025). Zeros of polynomial powers
under the heat flow. In arXiv:2512.17808.
bibtex: '@article{Höfert_Jalowy_Kabluchko_2025, title={Zeros of polynomial powers
under the heat flow}, journal={arXiv:2512.17808}, author={Höfert, Antonia and
Jalowy, Jonas and Kabluchko, Zakhar}, year={2025} }'
chicago: Höfert, Antonia, Jonas Jalowy, and Zakhar Kabluchko. “Zeros of Polynomial
Powers under the Heat Flow.” ArXiv:2512.17808, 2025.
ieee: A. Höfert, J. Jalowy, and Z. Kabluchko, “Zeros of polynomial powers under
the heat flow,” arXiv:2512.17808. 2025.
mla: Höfert, Antonia, et al. “Zeros of Polynomial Powers under the Heat Flow.” ArXiv:2512.17808,
2025.
short: A. Höfert, J. Jalowy, Z. Kabluchko, ArXiv:2512.17808 (2025).
date_created: 2025-12-22T08:36:24Z
date_updated: 2025-12-22T08:36:46Z
department:
- _id: '94'
external_id:
arxiv:
- '2512.17808'
language:
- iso: eng
publication: arXiv:2512.17808
status: public
title: Zeros of polynomial powers under the heat flow
type: preprint
user_id: '113768'
year: '2025'
...
---
_id: '62291'
abstract:
- lang: eng
text: |-
In [Jalowy, Kabluchko, Marynych, arXiv:2504.11593v1, 2025], the authors discuss a user-friendly approach to determine the limiting empirical zero distribution of a sequence of real-rooted polynomials, as the degree goes to $\infty$. In this note, we aim to apply it to a vast range of examples of polynomials providing a unifying source for limiting empirical zero distributions.
We cover Touchard, Fubini, Eulerian, Narayana and little $q$-Laguerre polynomials as well as hypergeometric polynomials including the classical Hermite, Laguerre and Jacobi polynomials. We construct polynomials whose empirical zero distributions converge to the free multiplicative normal and Poisson distributions. Furthermore, we study polynomials generated by some differential operators. As one inverse result, we derive coefficient asymptotics of the characteristic polynomial of random covariance matrices.
citation:
ama: 'Zeros and exponential profiles of polynomials II: Examples. Published online
2025. doi:10.48550/ARXIV.2509.11248'
apa: 'Zeros and exponential profiles of polynomials II: Examples. (2025).
https://doi.org/10.48550/ARXIV.2509.11248'
bibtex: '@article{Zeros and exponential profiles of polynomials II: Examples_2025,
DOI={10.48550/ARXIV.2509.11248},
year={2025} }'
chicago: '“Zeros and Exponential Profiles of Polynomials II: Examples,” 2025. https://doi.org/10.48550/ARXIV.2509.11248.'
ieee: '“Zeros and exponential profiles of polynomials II: Examples,” 2025, doi:
10.48550/ARXIV.2509.11248.'
mla: 'Zeros and Exponential Profiles of Polynomials II: Examples. 2025, doi:10.48550/ARXIV.2509.11248.'
short: (2025).
date_created: 2025-11-24T13:55:55Z
date_updated: 2026-03-19T14:45:35Z
department:
- _id: '94'
doi: 10.48550/ARXIV.2509.11248
status: public
title: 'Zeros and exponential profiles of polynomials II: Examples'
type: journal_article
user_id: '113768'
year: '2025'
...
---
_id: '53146'
author:
- first_name: Thomas
full_name: Berger, Thomas
id: '77457'
last_name: Berger
- first_name: Dario
full_name: Dennstädt, Dario
id: '98033'
last_name: Dennstädt
- first_name: 'L. '
full_name: 'Lanza, L. '
last_name: Lanza
- first_name: 'K. '
full_name: 'Worthmann, K. '
last_name: Worthmann
citation:
ama: Berger T, Dennstädt D, Lanza L, Worthmann K. Robust Funnel Model Predictive
Control for Output Tracking with Prescribed Performance. SIAM Journal on Control
and Optimization. Published online 2024.
apa: Berger, T., Dennstädt, D., Lanza, L., & Worthmann, K. (2024). Robust Funnel
Model Predictive Control for Output Tracking with Prescribed Performance. SIAM
Journal on Control and Optimization.
bibtex: '@article{Berger_Dennstädt_Lanza_Worthmann_2024, title={Robust Funnel Model
Predictive Control for Output Tracking with Prescribed Performance}, journal={SIAM
Journal on Control and Optimization}, author={Berger, Thomas and Dennstädt, Dario
and Lanza, L. and Worthmann, K. }, year={2024} }'
chicago: Berger, Thomas, Dario Dennstädt, L. Lanza, and K. Worthmann. “Robust
Funnel Model Predictive Control for Output Tracking with Prescribed Performance.”
SIAM Journal on Control and Optimization, 2024.
ieee: T. Berger, D. Dennstädt, L. Lanza, and K. Worthmann, “Robust Funnel Model
Predictive Control for Output Tracking with Prescribed Performance,” SIAM Journal
on Control and Optimization, 2024.
mla: Berger, Thomas, et al. “Robust Funnel Model Predictive Control for Output Tracking
with Prescribed Performance.” SIAM Journal on Control and Optimization,
2024.
short: T. Berger, D. Dennstädt, L. Lanza, K. Worthmann, SIAM Journal on Control
and Optimization (2024).
date_created: 2024-04-03T10:08:01Z
date_updated: 2026-01-05T20:52:17Z
department:
- _id: '618'
language:
- iso: eng
publication: SIAM Journal on Control and Optimization
status: public
title: Robust Funnel Model Predictive Control for Output Tracking with Prescribed
Performance
type: journal_article
user_id: '77457'
year: '2024'
...
---
_id: '53142'
author:
- first_name: Thomas
full_name: Berger, Thomas
id: '77457'
last_name: Berger
- first_name: Lukas
full_name: Lanza, Lukas
last_name: Lanza
citation:
ama: 'Berger T, Lanza L. Funnel control of linear systems with arbitrary relative
degree under output measurement losses. IMA Journal of Mathematical Control
and Information,. 2023;40(4):691-713. doi:doi:
10.1093/imamci/dnad029'
apa: 'Berger, T., & Lanza, L. (2023). Funnel control of linear systems with
arbitrary relative degree under output measurement losses. IMA Journal of Mathematical
Control and Information, 40(4), 691–713. https://doi.org/doi: 10.1093/imamci/dnad029'
bibtex: '@article{Berger_Lanza_2023, title={Funnel control of linear systems with
arbitrary relative degree under output measurement losses}, volume={40}, DOI={doi: 10.1093/imamci/dnad029},
number={4}, journal={IMA Journal of Mathematical Control and Information,}, author={Berger,
Thomas and Lanza, Lukas}, year={2023}, pages={691–713} }'
chicago: 'Berger, Thomas, and Lukas Lanza. “Funnel Control of Linear Systems with
Arbitrary Relative Degree under Output Measurement Losses.” IMA Journal of
Mathematical Control and Information, 40, no. 4 (2023): 691–713. https://doi.org/doi: 10.1093/imamci/dnad029.'
ieee: 'T. Berger and L. Lanza, “Funnel control of linear systems with arbitrary
relative degree under output measurement losses,” IMA Journal of Mathematical
Control and Information, vol. 40, no. 4, pp. 691–713, 2023, doi: doi: 10.1093/imamci/dnad029.'
mla: 'Berger, Thomas, and Lukas Lanza. “Funnel Control of Linear Systems with Arbitrary
Relative Degree under Output Measurement Losses.” IMA Journal of Mathematical
Control and Information, vol. 40, no. 4, 2023, pp. 691–713, doi:doi: 10.1093/imamci/dnad029.'
short: T. Berger, L. Lanza, IMA Journal of Mathematical Control and Information,
40 (2023) 691–713.
date_created: 2024-04-03T09:37:59Z
date_updated: 2024-04-05T05:50:29Z
department:
- _id: '618'
doi: 'doi: 10.1093/imamci/dnad029'
intvolume: ' 40'
issue: '4'
language:
- iso: eng
page: 691-713
publication: IMA Journal of Mathematical Control and Information,
status: public
title: Funnel control of linear systems with arbitrary relative degree under output
measurement losses
type: journal_article
user_id: '77457'
volume: 40
year: '2023'
...
---
_id: '53143'
author:
- first_name: J. G.
full_name: Lee, J. G.
last_name: Lee
- first_name: Thomas
full_name: Berger, Thomas
id: '77457'
last_name: Berger
- first_name: S.
full_name: Trenn, S.
last_name: Trenn
- first_name: H.
full_name: Shim, H.
last_name: Shim
citation:
ama: 'Lee JG, Berger T, Trenn S, Shim H. Edge-wise funnel output synchronization
of heterogeneous agents with relative degree one. Automatica. 2023;156:Article
111204. doi:doi: 10.1016/j.automatica.2023.111204 (open access)'
apa: 'Lee, J. G., Berger, T., Trenn, S., & Shim, H. (2023). Edge-wise funnel
output synchronization of heterogeneous agents with relative degree one. Automatica,
156, Article 111204. https://doi.org/doi: 10.1016/j.automatica.2023.111204 (open access)'
bibtex: '@article{Lee_Berger_Trenn_Shim_2023, title={Edge-wise funnel output synchronization
of heterogeneous agents with relative degree one}, volume={156}, DOI={doi: 10.1016/j.automatica.2023.111204
(open access)}, journal={Automatica}, author={Lee, J. G. and Berger, Thomas
and Trenn, S. and Shim, H.}, year={2023}, pages={Article 111204} }'
chicago: 'Lee, J. G., Thomas Berger, S. Trenn, and H. Shim. “Edge-Wise Funnel Output
Synchronization of Heterogeneous Agents with Relative Degree One.” Automatica
156 (2023): Article 111204. https://doi.org/doi: 10.1016/j.automatica.2023.111204 (open access).'
ieee: 'J. G. Lee, T. Berger, S. Trenn, and H. Shim, “Edge-wise funnel output synchronization
of heterogeneous agents with relative degree one,” Automatica, vol. 156,
p. Article 111204, 2023, doi: doi: 10.1016/j.automatica.2023.111204 (open access).'
mla: 'Lee, J. G., et al. “Edge-Wise Funnel Output Synchronization of Heterogeneous
Agents with Relative Degree One.” Automatica, vol. 156, 2023, p. Article
111204, doi:doi: 10.1016/j.automatica.2023.111204 (open access).'
short: J.G. Lee, T. Berger, S. Trenn, H. Shim, Automatica 156 (2023) Article 111204.
date_created: 2024-04-03T09:56:35Z
date_updated: 2024-04-05T05:52:28Z
department:
- _id: '618'
doi: 'doi: 10.1016/j.automatica.2023.111204 (open access)'
intvolume: ' 156'
language:
- iso: eng
page: Article 111204
publication: Automatica
status: public
title: Edge-wise funnel output synchronization of heterogeneous agents with relative
degree one
type: journal_article
user_id: '77457'
volume: 156
year: '2023'
...
---
_id: '35644'
author:
- first_name: Martin
full_name: Kolb, Martin
id: '48880'
last_name: Kolb
- first_name: Alexander
full_name: Klump, Alexander
id: '45067'
last_name: Klump
citation:
ama: Kolb M, Klump A. Uniqueness of the Inverse First Passage Time Problem and the
Shape of the Shiryaev boundary. Theory of Probability and its Applications.
2022;67(4):717-744.
apa: Kolb, M., & Klump, A. (2022). Uniqueness of the Inverse First Passage Time
Problem and the Shape of the Shiryaev boundary. Theory of Probability and Its
Applications, 67(4), 717–744.
bibtex: '@article{Kolb_Klump_2022, title={Uniqueness of the Inverse First Passage
Time Problem and the Shape of the Shiryaev boundary}, volume={67}, number={4},
journal={Theory of Probability and its Applications}, publisher={Society for Industrial
and Applied Mathematics}, author={Kolb, Martin and Klump, Alexander}, year={2022},
pages={717–744} }'
chicago: 'Kolb, Martin, and Alexander Klump. “Uniqueness of the Inverse First Passage
Time Problem and the Shape of the Shiryaev Boundary.” Theory of Probability
and Its Applications 67, no. 4 (2022): 717–44.'
ieee: M. Kolb and A. Klump, “Uniqueness of the Inverse First Passage Time Problem
and the Shape of the Shiryaev boundary,” Theory of Probability and its Applications,
vol. 67, no. 4, pp. 717–744, 2022.
mla: Kolb, Martin, and Alexander Klump. “Uniqueness of the Inverse First Passage
Time Problem and the Shape of the Shiryaev Boundary.” Theory of Probability
and Its Applications, vol. 67, no. 4, Society for Industrial and Applied Mathematics,
2022, pp. 717–44.
short: M. Kolb, A. Klump, Theory of Probability and Its Applications 67 (2022) 717–744.
date_created: 2023-01-10T08:13:17Z
date_updated: 2023-01-10T08:13:30Z
department:
- _id: '96'
intvolume: ' 67'
issue: '4'
language:
- iso: eng
page: 717-744
publication: Theory of Probability and its Applications
publication_status: published
publisher: Society for Industrial and Applied Mathematics
status: public
title: Uniqueness of the Inverse First Passage Time Problem and the Shape of the Shiryaev
boundary
type: journal_article
user_id: '85821'
volume: 67
year: '2022'
...
---
_id: '35649'
abstract:
- lang: eng
text: Motivated by the work [6] of Mariusz Bieniek, Krzysztof Burdzy and Soumik
Pal we study a Fleming-Viot-type particle system consisting of independently moving
particles each driven by generalized Bessel processes on the positive real line.
Upon hitting the boundary {0} this particle is killed and an uniformly chosen
different one branches into two particles. Using the symmetry of the model and
the self similarity property of Bessel processes, we obtain a criterion to decide
whether the particles converge to the origin at a finite time. This addresses
open problem 1.4 in [6]. Specifically, inspired by [6, Open Problem 1.5], we investigate
the case of three moving particles and refine the general result of [6, Theorem
1.1(ii)] extending the regime of drift parameters, where convergence does not
occur – even to values, where it does occur when considering the case of only
two particles.
author:
- first_name: Martin
full_name: Kolb, Martin
id: '48880'
last_name: Kolb
- first_name: Matthias
full_name: Liesenfeld, Matthias
last_name: Liesenfeld
citation:
ama: Kolb M, Liesenfeld M. On non-extinction in a Fleming-Viot-type particle model
with Bessel drift. Electronic Journal of Probability. 2022;(27):1-28. doi:https://doi.org/10.1214/22-EJP866
apa: Kolb, M., & Liesenfeld, M. (2022). On non-extinction in a Fleming-Viot-type
particle model with Bessel drift. Electronic Journal of Probability, 27,
1–28. https://doi.org/10.1214/22-EJP866
bibtex: '@article{Kolb_Liesenfeld_2022, title={On non-extinction in a Fleming-Viot-type
particle model with Bessel drift}, DOI={https://doi.org/10.1214/22-EJP866},
number={27}, journal={Electronic Journal of Probability}, publisher={Institute
of Mathematical Statistics}, author={Kolb, Martin and Liesenfeld, Matthias}, year={2022},
pages={1–28} }'
chicago: 'Kolb, Martin, and Matthias Liesenfeld. “On Non-Extinction in a Fleming-Viot-Type
Particle Model with Bessel Drift.” Electronic Journal of Probability, no.
27 (2022): 1–28. https://doi.org/10.1214/22-EJP866.'
ieee: 'M. Kolb and M. Liesenfeld, “On non-extinction in a Fleming-Viot-type particle
model with Bessel drift,” Electronic Journal of Probability, no. 27, pp.
1–28, 2022, doi: https://doi.org/10.1214/22-EJP866.'
mla: Kolb, Martin, and Matthias Liesenfeld. “On Non-Extinction in a Fleming-Viot-Type
Particle Model with Bessel Drift.” Electronic Journal of Probability, no.
27, Institute of Mathematical Statistics, 2022, pp. 1–28, doi:https://doi.org/10.1214/22-EJP866.
short: M. Kolb, M. Liesenfeld, Electronic Journal of Probability (2022) 1–28.
date_created: 2023-01-10T08:19:25Z
date_updated: 2023-01-10T08:19:38Z
department:
- _id: '96'
doi: https://doi.org/10.1214/22-EJP866
issue: '27'
language:
- iso: eng
page: 1-28
publication: Electronic Journal of Probability
publication_status: published
publisher: Institute of Mathematical Statistics
status: public
title: On non-extinction in a Fleming-Viot-type particle model with Bessel drift
type: journal_article
user_id: '85821'
year: '2022'
...
---
_id: '35650'
abstract:
- lang: eng
text: "We consider autoregressive sequences Xn = aXn−1 + ξn and\r\nMn = max{aMn−1
, ξn} with a constant a ∈ (0, 1) and with positive, in-\r\ndependent and identically
distributed innovations {ξk }. It is known that if\r\nP(ξ1 > x) ∼ d\r\nlog x with
some d ∈ (0, − log a) then the chains {Xn} and {Mn}\r\nare null recurrent. We
investigate the tail behaviour of recurrence times in this\r\ncase of logarithmically
decaying tails. More precisely, we show that the tails\r\nof recurrence times
are regularly varying of index −1 − d/ log a. We also prove\r\nlimit theorems
for {Xn} and {Mn} conditioned to stay over a fixed level x0.\r\nFurthermore, we
study tail asymptotics for recurrence times of {Xn} and {Mn}\r\nin the case when
these chains are positive recurrent and the tail of log ξ1 is\r\nsubexponential."
author:
- first_name: Denis
full_name: Denisov, Denis
last_name: Denisov
- first_name: Günter
full_name: Hinrichs, Günter
last_name: Hinrichs
- first_name: Martin
full_name: Kolb, Martin
id: '48880'
last_name: Kolb
- first_name: Vitali
full_name: Wachtel, Vitali
last_name: Wachtel
citation:
ama: Denisov D, Hinrichs G, Kolb M, Wachtel V. Persistence of autoregressive sequences
with logarithmic tails. Electronic Journal of Probability. 2022;27:1-43.
doi:https://doi.org/10.48550/arXiv.2203.14772
apa: Denisov, D., Hinrichs, G., Kolb, M., & Wachtel, V. (2022). Persistence
of autoregressive sequences with logarithmic tails. Electronic Journal of Probability,
27, 1–43. https://doi.org/10.48550/arXiv.2203.14772
bibtex: '@article{Denisov_Hinrichs_Kolb_Wachtel_2022, title={Persistence of autoregressive
sequences with logarithmic tails}, volume={27}, DOI={https://doi.org/10.48550/arXiv.2203.14772},
journal={Electronic Journal of Probability}, publisher={Institute of Mathematical
Statistics}, author={Denisov, Denis and Hinrichs, Günter and Kolb, Martin and
Wachtel, Vitali}, year={2022}, pages={1–43} }'
chicago: 'Denisov, Denis, Günter Hinrichs, Martin Kolb, and Vitali Wachtel. “Persistence
of Autoregressive Sequences with Logarithmic Tails.” Electronic Journal of
Probability 27 (2022): 1–43. https://doi.org/10.48550/arXiv.2203.14772.'
ieee: 'D. Denisov, G. Hinrichs, M. Kolb, and V. Wachtel, “Persistence of autoregressive
sequences with logarithmic tails,” Electronic Journal of Probability, vol.
27, pp. 1–43, 2022, doi: https://doi.org/10.48550/arXiv.2203.14772.'
mla: Denisov, Denis, et al. “Persistence of Autoregressive Sequences with Logarithmic
Tails.” Electronic Journal of Probability, vol. 27, Institute of Mathematical
Statistics, 2022, pp. 1–43, doi:https://doi.org/10.48550/arXiv.2203.14772.
short: D. Denisov, G. Hinrichs, M. Kolb, V. Wachtel, Electronic Journal of Probability
27 (2022) 1–43.
date_created: 2023-01-10T08:28:12Z
date_updated: 2023-01-10T08:29:02Z
department:
- _id: '96'
doi: https://doi.org/10.48550/arXiv.2203.14772
intvolume: ' 27'
language:
- iso: eng
page: 1-43
publication: Electronic Journal of Probability
publication_status: published
publisher: Institute of Mathematical Statistics
status: public
title: Persistence of autoregressive sequences with logarithmic tails
type: journal_article
user_id: '85821'
volume: 27
year: '2022'
...
---
_id: '33278'
abstract:
- lang: eng
text: The kinetic Brownian motion on the sphere bundle of a Riemannian manifold
M is a stochastic process that models a random perturbation of the geodesic flow.
If M is an orientable compact constantly curved surface, we show that in the limit
of infinitely large perturbation the L2-spectrum of the infinitesimal generator
of a time-rescaled version of the process converges to the Laplace spectrum of
the base manifold.
author:
- first_name: Martin
full_name: Kolb, Martin
id: '48880'
last_name: Kolb
- first_name: Tobias
full_name: Weich, Tobias
last_name: Weich
- first_name: Lasse
full_name: Wolf, Lasse
last_name: Wolf
citation:
ama: Kolb M, Weich T, Wolf L. Spectral Asymptotics for Kinetic Brownian Motion on
Surfaces of Constant Curvature. Annales Henri Poincaré . 2021;23(4):1283-1296.
apa: Kolb, M., Weich, T., & Wolf, L. (2021). Spectral Asymptotics for Kinetic
Brownian Motion on Surfaces of Constant Curvature. Annales Henri Poincaré ,
23(4), 1283–1296.
bibtex: '@article{Kolb_Weich_Wolf_2021, title={Spectral Asymptotics for Kinetic
Brownian Motion on Surfaces of Constant Curvature}, volume={23}, number={4}, journal={Annales
Henri Poincaré }, publisher={Springer Science + Business Media}, author={Kolb,
Martin and Weich, Tobias and Wolf, Lasse}, year={2021}, pages={1283–1296} }'
chicago: 'Kolb, Martin, Tobias Weich, and Lasse Wolf. “Spectral Asymptotics for
Kinetic Brownian Motion on Surfaces of Constant Curvature.” Annales Henri Poincaré
23, no. 4 (2021): 1283–96.'
ieee: M. Kolb, T. Weich, and L. Wolf, “Spectral Asymptotics for Kinetic Brownian
Motion on Surfaces of Constant Curvature,” Annales Henri Poincaré , vol.
23, no. 4, pp. 1283–1296, 2021.
mla: Kolb, Martin, et al. “Spectral Asymptotics for Kinetic Brownian Motion on Surfaces
of Constant Curvature.” Annales Henri Poincaré , vol. 23, no. 4, Springer
Science + Business Media, 2021, pp. 1283–96.
short: M. Kolb, T. Weich, L. Wolf, Annales Henri Poincaré 23 (2021) 1283–1296.
date_created: 2022-09-07T07:05:33Z
date_updated: 2022-09-08T06:06:13Z
department:
- _id: '96'
intvolume: ' 23'
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://link.springer.com/article/10.1007/s00023-021-01121-5
oa: '1'
page: 1283-1296
publication: 'Annales Henri Poincaré '
publication_status: published
publisher: Springer Science + Business Media
related_material:
link:
- relation: contains
url: https://link.springer.com/article/10.1007/s00023-021-01121-5
status: public
title: Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature
type: journal_article
user_id: '85821'
volume: 23
year: '2021'
...
---
_id: '33481'
abstract:
- lang: eng
text: While 2D Gibbsian particle systems might exhibit orientational order resulting
in a lattice-like structure, these particle systems do not exhibit positional
order if the interaction between particles satisfies some weak assumptions. Here
we investigate to which extent particles within a box of size may fluctuate from
their ideal lattice position. We show that particles near the center of the box
typically show a displacement at least of order . Thus we extend recent results
on the hard disk model to particle systems with fairly arbitrary particle spins
and interaction. Our result applies to models such as rather general continuum
Potts type models, e.g. with Widom–Rowlinson or Lenard-Jones-type interaction.
author:
- first_name: Thomas
full_name: Richthammer, Thomas
id: '62054'
last_name: Richthammer
- first_name: Michael
full_name: Fiedler, Michael
last_name: Fiedler
citation:
ama: Richthammer T, Fiedler M. A lower bound on the displacement of particles in
2D Gibbsian particle systems. Stochastic Processes and their Applications.
2021;132:1-32. doi:https://doi.org/10.1016/j.spa.2020.10.003
apa: Richthammer, T., & Fiedler, M. (2021). A lower bound on the displacement
of particles in 2D Gibbsian particle systems. Stochastic Processes and Their
Applications, 132, 1–32. https://doi.org/10.1016/j.spa.2020.10.003
bibtex: '@article{Richthammer_Fiedler_2021, title={A lower bound on the displacement
of particles in 2D Gibbsian particle systems}, volume={132}, DOI={https://doi.org/10.1016/j.spa.2020.10.003},
journal={Stochastic Processes and their Applications}, publisher={Elsevier}, author={Richthammer,
Thomas and Fiedler, Michael}, year={2021}, pages={1–32} }'
chicago: 'Richthammer, Thomas, and Michael Fiedler. “A Lower Bound on the Displacement
of Particles in 2D Gibbsian Particle Systems.” Stochastic Processes and Their
Applications 132 (2021): 1–32. https://doi.org/10.1016/j.spa.2020.10.003.'
ieee: 'T. Richthammer and M. Fiedler, “A lower bound on the displacement of particles
in 2D Gibbsian particle systems,” Stochastic Processes and their Applications,
vol. 132, pp. 1–32, 2021, doi: https://doi.org/10.1016/j.spa.2020.10.003.'
mla: Richthammer, Thomas, and Michael Fiedler. “A Lower Bound on the Displacement
of Particles in 2D Gibbsian Particle Systems.” Stochastic Processes and Their
Applications, vol. 132, Elsevier, 2021, pp. 1–32, doi:https://doi.org/10.1016/j.spa.2020.10.003.
short: T. Richthammer, M. Fiedler, Stochastic Processes and Their Applications 132
(2021) 1–32.
date_created: 2022-09-26T06:53:59Z
date_updated: 2022-09-26T06:54:06Z
department:
- _id: '96'
doi: https://doi.org/10.1016/j.spa.2020.10.003
intvolume: ' 132'
language:
- iso: eng
page: 1-32
publication: Stochastic Processes and their Applications
publication_status: published
publisher: Elsevier
status: public
title: A lower bound on the displacement of particles in 2D Gibbsian particle systems
type: journal_article
user_id: '85821'
volume: 132
year: '2021'
...
---
_id: '33273'
abstract:
- lang: ger
text: "Dieses Lernangebot widmet sich der linearen Algebra als dem Teil der Mathematik,
der neben der Optimierung und der Stochastik die Grundlage für praktisch alle
Entwicklungen im Bereich Künstliche Intelligenz (KI) darstellt. Das Fach ist jedoch
für Anfänger meist ungewohnt abstrakt und wird daher oft als besonders schwierig
und unanschaulich empfunden. In diesem Kurs wird das Erlernen mathematischer Kenntnisse
in linearer Algebra verknüpft mit dem aktuellen und faszinierenden Anwendungsfeld
der künstlichen neuronalen Netze (KNN). Daraus ergeben sich in natürlicher Weise
Anwendungsbeispiele, an denen die wesentlichen Konzepte der linearen Algebra erklärt
werden können.\r\n\r\nBehandelte Themen sind:\r\n\r\n Der Vektorraum der reellen
Zahlentupel, reelle Vektorräume allgemein\r\n Lineare Abbildungen\r\n Matrizen\r\n
\ Koordinaten und darstellende Matrizen\r\n Lineare Gleichungssysteme, Gaußalgorithmus\r\n
\ Determinante\r\n Ein Ausblick auf nichtlineare Techniken, die für neuronale
Netzwerke relevant sind."
author:
- first_name: Thomas
full_name: Schramm, Thomas
last_name: Schramm
- first_name: Ingenuin
full_name: Gasser, Ingenuin
last_name: Gasser
- first_name: Sören
full_name: Schwenker, Sören
id: '97359'
last_name: Schwenker
orcid: 0000-0002-8054-2058
- first_name: Ruedi
full_name: Seiler, Ruedi
last_name: Seiler
- first_name: Alexander
full_name: Lohse, Alexander
last_name: Lohse
- first_name: Kay
full_name: Zobel, Kay
last_name: Zobel
citation:
ama: Schramm T, Gasser I, Schwenker S, Seiler R, Lohse A, Zobel K. Linear Algebra
Driven by Data Science. Hamburg Open Online University; 2020.
apa: Schramm, T., Gasser, I., Schwenker, S., Seiler, R., Lohse, A., & Zobel,
K. (2020). Linear Algebra driven by Data Science. Hamburg Open Online University.
bibtex: '@book{Schramm_Gasser_Schwenker_Seiler_Lohse_Zobel_2020, title={Linear Algebra
driven by Data Science}, publisher={Hamburg Open Online University}, author={Schramm,
Thomas and Gasser, Ingenuin and Schwenker, Sören and Seiler, Ruedi and Lohse,
Alexander and Zobel, Kay}, year={2020} }'
chicago: Schramm, Thomas, Ingenuin Gasser, Sören Schwenker, Ruedi Seiler, Alexander
Lohse, and Kay Zobel. Linear Algebra Driven by Data Science. Hamburg Open
Online University, 2020.
ieee: T. Schramm, I. Gasser, S. Schwenker, R. Seiler, A. Lohse, and K. Zobel, Linear
Algebra driven by Data Science. Hamburg Open Online University, 2020.
mla: Schramm, Thomas, et al. Linear Algebra Driven by Data Science. Hamburg
Open Online University, 2020.
short: T. Schramm, I. Gasser, S. Schwenker, R. Seiler, A. Lohse, K. Zobel, Linear
Algebra Driven by Data Science, Hamburg Open Online University, 2020.
date_created: 2022-09-06T12:06:41Z
date_updated: 2022-09-06T14:05:13Z
department:
- _id: '94'
extern: '1'
language:
- iso: eng
main_file_link:
- url: https://www.hoou.de/projects/linear-algebra-driven-by-data-science/
publisher: Hamburg Open Online University
status: public
title: Linear Algebra driven by Data Science
type: misc
user_id: '97359'
year: '2020'
...
---
_id: '33282'
abstract:
- lang: eng
text: "We derive a criterium for the almost sure finiteness of perpetual integrals
of L ́evy\r\nprocesses for a class of real functions including all continuous
functions and for general one-\r\ndimensional L ́evy processes that drifts to
plus infinity. This generalizes previous work of D ̈oring\r\nand Kyprianou, who
considered L ́evy processes having a local time, leaving the general case as an\r\nopen
problem. It turns out, that the criterium in the general situation simplifies
significantly in\r\nthe situation, where the process has a local time, but we
also demonstrate that in general our cri-\r\nterium can not be reduced. This answers
an open problem posed in D ̈oring, L. and Kyprianou, A.\r\n(2015)."
author:
- first_name: Martin
full_name: Kolb, Martin
id: '48880'
last_name: Kolb
- first_name: Mladen
full_name: Savov, Mladen
last_name: Savov
citation:
ama: Kolb M, Savov M. A Characterization of the Finiteness of Perpetual Integrals
of Levy Processes. Bernoulli. 2020;26(2):1453-1472. doi:https://doi.org/10.48550/arXiv.1903.03792
apa: Kolb, M., & Savov, M. (2020). A Characterization of the Finiteness of Perpetual
Integrals of Levy Processes. Bernoulli, 26(2), 1453–1472. https://doi.org/10.48550/arXiv.1903.03792
bibtex: '@article{Kolb_Savov_2020, title={A Characterization of the Finiteness of
Perpetual Integrals of Levy Processes}, volume={26}, DOI={https://doi.org/10.48550/arXiv.1903.03792},
number={2}, journal={Bernoulli}, publisher={Bernoulli Society for Mathematical
Statistics and Probability}, author={Kolb, Martin and Savov, Mladen}, year={2020},
pages={1453–1472} }'
chicago: 'Kolb, Martin, and Mladen Savov. “A Characterization of the Finiteness
of Perpetual Integrals of Levy Processes.” Bernoulli 26, no. 2 (2020):
1453–72. https://doi.org/10.48550/arXiv.1903.03792.'
ieee: 'M. Kolb and M. Savov, “A Characterization of the Finiteness of Perpetual
Integrals of Levy Processes,” Bernoulli, vol. 26, no. 2, pp. 1453–1472,
2020, doi: https://doi.org/10.48550/arXiv.1903.03792.'
mla: Kolb, Martin, and Mladen Savov. “A Characterization of the Finiteness of Perpetual
Integrals of Levy Processes.” Bernoulli, vol. 26, no. 2, Bernoulli Society
for Mathematical Statistics and Probability, 2020, pp. 1453–72, doi:https://doi.org/10.48550/arXiv.1903.03792.
short: M. Kolb, M. Savov, Bernoulli 26 (2020) 1453–1472.
date_created: 2022-09-08T06:36:37Z
date_updated: 2022-09-08T06:48:40Z
department:
- _id: '96'
doi: https://doi.org/10.48550/arXiv.1903.03792
intvolume: ' 26'
issue: '2'
keyword:
- L ́evy processes
- Perpetual integrals
- Potential measures
language:
- iso: eng
page: 1453-1472
publication: Bernoulli
publication_status: published
publisher: Bernoulli Society for Mathematical Statistics and Probability
status: public
title: A Characterization of the Finiteness of Perpetual Integrals of Levy Processes
type: journal_article
user_id: '85821'
volume: 26
year: '2020'
...
---
_id: '33330'
abstract:
- lang: eng
text: 'Reciprocal relations are binary relations Q with entries Q(i,j)∈[0,1], and
such that Q(i,j)+Q(j,i)=1. Relations of this kind occur quite naturally in various
domains, such as preference modeling and preference learning. For example, Q(i,j)
could be the fraction of voters in a population who prefer candidate i to candidate
j. In the literature, various attempts have been made at generalizing the notion
of transitivity to reciprocal relations. In this paper, we compare three important
frameworks of generalized transitivity: g-stochastic transitivity, T-transitivity,
and cycle-transitivity. To this end, we introduce E-transitivity as an even more
general notion. We also use this framework to extend an existing hierarchy of
different types of transitivity. As an illustration, we study transitivity properties
of probabilities of pairwise preferences, which are induced as marginals of an
underlying probability distribution on rankings (strict total orders) of a set
of alternatives. In particular, we analyze the interesting case of the so-called
Babington Smith model, a parametric family of distributions of that kind.'
author:
- first_name: Björn
full_name: Haddenhorst, Björn
last_name: Haddenhorst
- first_name: Eyke
full_name: Hüllermeier, Eyke
last_name: Hüllermeier
- first_name: Martin
full_name: Kolb, Martin
id: '48880'
last_name: Kolb
citation:
ama: 'Haddenhorst B, Hüllermeier E, Kolb M. Generalized transitivity: A systematic
comparison of concepts with an application to preferences in the Babington Smith
model. International Journal of Approximate Reasoning. 2020;119(2):373-407.
doi:https://doi.org/10.1016/j.ijar.2020.01.007'
apa: 'Haddenhorst, B., Hüllermeier, E., & Kolb, M. (2020). Generalized transitivity:
A systematic comparison of concepts with an application to preferences in the
Babington Smith model. International Journal of Approximate Reasoning,
119(2), 373–407. https://doi.org/10.1016/j.ijar.2020.01.007'
bibtex: '@article{Haddenhorst_Hüllermeier_Kolb_2020, title={Generalized transitivity:
A systematic comparison of concepts with an application to preferences in the
Babington Smith model}, volume={119}, DOI={https://doi.org/10.1016/j.ijar.2020.01.007},
number={2}, journal={International Journal of Approximate Reasoning}, publisher={Elsevier},
author={Haddenhorst, Björn and Hüllermeier, Eyke and Kolb, Martin}, year={2020},
pages={373–407} }'
chicago: 'Haddenhorst, Björn, Eyke Hüllermeier, and Martin Kolb. “Generalized Transitivity:
A Systematic Comparison of Concepts with an Application to Preferences in the
Babington Smith Model.” International Journal of Approximate Reasoning
119, no. 2 (2020): 373–407. https://doi.org/10.1016/j.ijar.2020.01.007.'
ieee: 'B. Haddenhorst, E. Hüllermeier, and M. Kolb, “Generalized transitivity: A
systematic comparison of concepts with an application to preferences in the Babington
Smith model,” International Journal of Approximate Reasoning, vol. 119,
no. 2, pp. 373–407, 2020, doi: https://doi.org/10.1016/j.ijar.2020.01.007.'
mla: 'Haddenhorst, Björn, et al. “Generalized Transitivity: A Systematic Comparison
of Concepts with an Application to Preferences in the Babington Smith Model.”
International Journal of Approximate Reasoning, vol. 119, no. 2, Elsevier,
2020, pp. 373–407, doi:https://doi.org/10.1016/j.ijar.2020.01.007.'
short: B. Haddenhorst, E. Hüllermeier, M. Kolb, International Journal of Approximate
Reasoning 119 (2020) 373–407.
date_created: 2022-09-12T07:13:19Z
date_updated: 2022-09-12T07:13:30Z
department:
- _id: '96'
doi: https://doi.org/10.1016/j.ijar.2020.01.007
intvolume: ' 119'
issue: '2'
language:
- iso: eng
page: 373-407
publication: International Journal of Approximate Reasoning
publication_status: published
publisher: Elsevier
status: public
title: 'Generalized transitivity: A systematic comparison of concepts with an application
to preferences in the Babington Smith model'
type: journal_article
user_id: '85821'
volume: 119
year: '2020'
...
---
_id: '33331'
abstract:
- lang: eng
text: Motivated by the recent contribution (Bauer and Bernard in Annales Henri Poincaré
19:653–693, 2018), we study the scaling limit behavior of a class of one-dimensional
stochastic differential equations which has a unique attracting point subject
to a small additional repulsive perturbation. Problems of this type appear in
the analysis of continuously monitored quantum systems. We extend the results
of Bauer and Bernard (Annales Henri Poincaré 19:653–693, 2018) and prove a general
result concerning the convergence to a homogeneous Poisson process using only
classical probabilistic tools.
author:
- first_name: Martin
full_name: Kolb, Martin
id: '48880'
last_name: Kolb
- first_name: Matthias
full_name: Liesenfeld, Matthias
last_name: Liesenfeld
citation:
ama: Kolb M, Liesenfeld M. Stochastic Spikes and Poisson Approximation of One-Dimensional
Stochastic Differential Equations with Applications to Continuously Measured Quantum
Systems. Annales Henri Poincaré. 2019;20(6):1753-1783. doi:http://dx.doi.org/10.1007/s00023-019-00772-9
apa: Kolb, M., & Liesenfeld, M. (2019). Stochastic Spikes and Poisson Approximation
of One-Dimensional Stochastic Differential Equations with Applications to Continuously
Measured Quantum Systems. Annales Henri Poincaré, 20(6), 1753–1783.
http://dx.doi.org/10.1007/s00023-019-00772-9
bibtex: '@article{Kolb_Liesenfeld_2019, title={Stochastic Spikes and Poisson Approximation
of One-Dimensional Stochastic Differential Equations with Applications to Continuously
Measured Quantum Systems}, volume={20}, DOI={http://dx.doi.org/10.1007/s00023-019-00772-9},
number={6}, journal={Annales Henri Poincaré}, publisher={Institute Henri Poincaré},
author={Kolb, Martin and Liesenfeld, Matthias}, year={2019}, pages={1753–1783}
}'
chicago: 'Kolb, Martin, and Matthias Liesenfeld. “Stochastic Spikes and Poisson
Approximation of One-Dimensional Stochastic Differential Equations with Applications
to Continuously Measured Quantum Systems.” Annales Henri Poincaré 20, no.
6 (2019): 1753–83. http://dx.doi.org/10.1007/s00023-019-00772-9.'
ieee: 'M. Kolb and M. Liesenfeld, “Stochastic Spikes and Poisson Approximation of
One-Dimensional Stochastic Differential Equations with Applications to Continuously
Measured Quantum Systems,” Annales Henri Poincaré, vol. 20, no. 6, pp.
1753–1783, 2019, doi: http://dx.doi.org/10.1007/s00023-019-00772-9.'
mla: Kolb, Martin, and Matthias Liesenfeld. “Stochastic Spikes and Poisson Approximation
of One-Dimensional Stochastic Differential Equations with Applications to Continuously
Measured Quantum Systems.” Annales Henri Poincaré, vol. 20, no. 6, Institute
Henri Poincaré, 2019, pp. 1753–83, doi:http://dx.doi.org/10.1007/s00023-019-00772-9.
short: M. Kolb, M. Liesenfeld, Annales Henri Poincaré 20 (2019) 1753–1783.
date_created: 2022-09-12T07:18:58Z
date_updated: 2022-09-12T07:19:02Z
department:
- _id: '96'
doi: http://dx.doi.org/10.1007/s00023-019-00772-9
intvolume: ' 20'
issue: '6'
language:
- iso: eng
page: 1753-1783
publication: Annales Henri Poincaré
publication_status: published
publisher: Institute Henri Poincaré
status: public
title: Stochastic Spikes and Poisson Approximation of One-Dimensional Stochastic Differential
Equations with Applications to Continuously Measured Quantum Systems
type: journal_article
user_id: '85821'
volume: 20
year: '2019'
...