---
_id: '32101'
author:
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
- first_name: Yannick
full_name: Guedes Bonthonneau, Yannick
last_name: Guedes Bonthonneau
- first_name: Colin
full_name: Guillarmou, Colin
last_name: Guillarmou
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
citation:
ama: Weich T, Guedes Bonthonneau Y, Guillarmou C, Hilgert J. Ruelle-Taylor resonaces
of Anosov actions. J Europ Math Soc. Published online 2024:1-36.
apa: Weich, T., Guedes Bonthonneau, Y., Guillarmou, C., & Hilgert, J. (2024).
Ruelle-Taylor resonaces of Anosov actions. J. Europ. Math. Soc., 1–36.
bibtex: '@article{Weich_Guedes Bonthonneau_Guillarmou_Hilgert_2024, title={Ruelle-Taylor
resonaces of Anosov actions}, journal={J. Europ. Math. Soc.}, author={Weich, Tobias
and Guedes Bonthonneau, Yannick and Guillarmou, Colin and Hilgert, Joachim}, year={2024},
pages={1–36} }'
chicago: Weich, Tobias, Yannick Guedes Bonthonneau, Colin Guillarmou, and Joachim
Hilgert. “Ruelle-Taylor Resonaces of Anosov Actions.” J. Europ. Math. Soc.,
2024, 1–36.
ieee: T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, and J. Hilgert, “Ruelle-Taylor
resonaces of Anosov actions,” J. Europ. Math. Soc., pp. 1–36, 2024.
mla: Weich, Tobias, et al. “Ruelle-Taylor Resonaces of Anosov Actions.” J. Europ.
Math. Soc., 2024, pp. 1–36.
short: T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, J. Hilgert, J. Europ. Math.
Soc. (2024) 1–36.
date_created: 2022-06-22T09:56:51Z
date_updated: 2024-02-19T06:25:13Z
ddc:
- '510'
department:
- _id: '10'
- _id: '623'
- _id: '548'
- _id: '91'
file:
- access_level: open_access
content_type: application/pdf
creator: weich
date_created: 2022-06-22T09:56:47Z
date_updated: 2022-06-22T09:56:47Z
file_id: '32102'
file_name: 2007.14275.pdf
file_size: 796410
relation: main_file
file_date_updated: 2022-06-22T09:56:47Z
has_accepted_license: '1'
language:
- iso: eng
oa: '1'
page: 1-36
publication: J. Europ. Math. Soc.
publication_status: published
status: public
title: Ruelle-Taylor resonaces of Anosov actions
type: journal_article
user_id: '49063'
year: '2024'
...
---
_id: '51501'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
citation:
ama: Hilgert J. Quantum-Classical Correspondences for Locally Symmetric Spaces.
Published online 2024.
apa: Hilgert, J. (2024). Quantum-Classical Correspondences for Locally Symmetric
Spaces.
bibtex: '@article{Hilgert_2024, title={Quantum-Classical Correspondences for Locally
Symmetric Spaces}, author={Hilgert, Joachim}, year={2024} }'
chicago: Hilgert, Joachim. “Quantum-Classical Correspondences for Locally Symmetric
Spaces,” 2024.
ieee: J. Hilgert, “Quantum-Classical Correspondences for Locally Symmetric Spaces.”
2024.
mla: Hilgert, Joachim. Quantum-Classical Correspondences for Locally Symmetric
Spaces. 2024.
short: J. Hilgert, (2024).
date_created: 2024-02-19T10:31:51Z
date_updated: 2024-02-19T10:32:07Z
department:
- _id: '91'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/pdf/2303.00578.pdf
oa: '1'
publication_status: published
status: public
title: Quantum-Classical Correspondences for Locally Symmetric Spaces
type: preprint
user_id: '49063'
year: '2024'
...
---
_id: '31190'
abstract:
- lang: eng
text: "For a compact Riemannian locally symmetric space $\\Gamma\\backslash G/K$
of\r\narbitrary rank we determine the location of certain Ruelle-Taylor resonances\r\nfor
the Weyl chamber action. We provide a Weyl-lower bound on an appropriate\r\ncounting
function for the Ruelle-Taylor resonances and establish a spectral gap\r\nwhich
is uniform in $\\Gamma$ if $G/K$ is irreducible of higher rank. This is\r\nachieved
by proving a quantum-classical correspondence, i.e. a\r\n1:1-correspondence between
horocyclically invariant Ruelle-Taylor resonant\r\nstates and joint eigenfunctions
of the algebra of invariant differential\r\noperators on $G/K$."
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
- first_name: Lasse Lennart
full_name: Wolf, Lasse Lennart
id: '45027'
last_name: Wolf
citation:
ama: Hilgert J, Weich T, Wolf LL. Higher rank quantum-classical correspondence.
Analysis & PDE. 2023;16(10):2241–2265.
apa: Hilgert, J., Weich, T., & Wolf, L. L. (2023). Higher rank quantum-classical
correspondence. Analysis & PDE, 16(10), 2241–2265.
bibtex: '@article{Hilgert_Weich_Wolf_2023, title={Higher rank quantum-classical
correspondence}, volume={16}, number={10}, journal={Analysis & PDE}, publisher={MSP},
author={Hilgert, Joachim and Weich, Tobias and Wolf, Lasse Lennart}, year={2023},
pages={2241–2265} }'
chicago: 'Hilgert, Joachim, Tobias Weich, and Lasse Lennart Wolf. “Higher Rank Quantum-Classical
Correspondence.” Analysis & PDE 16, no. 10 (2023): 2241–2265.'
ieee: J. Hilgert, T. Weich, and L. L. Wolf, “Higher rank quantum-classical correspondence,”
Analysis & PDE, vol. 16, no. 10, pp. 2241–2265, 2023.
mla: Hilgert, Joachim, et al. “Higher Rank Quantum-Classical Correspondence.” Analysis
& PDE, vol. 16, no. 10, MSP, 2023, pp. 2241–2265.
short: J. Hilgert, T. Weich, L.L. Wolf, Analysis & PDE 16 (2023) 2241–2265.
date_created: 2022-05-11T10:41:35Z
date_updated: 2024-02-19T06:29:52Z
department:
- _id: '10'
- _id: '548'
- _id: '91'
external_id:
arxiv:
- '2103.05667'
intvolume: ' 16'
issue: '10'
language:
- iso: eng
page: 2241–2265
publication: Analysis & PDE
publisher: MSP
status: public
title: Higher rank quantum-classical correspondence
type: journal_article
user_id: '49063'
volume: 16
year: '2023'
...
---
_id: '51205'
abstract:
- lang: eng
text: "We compare the spectral properties of two kinds of linear operators\r\ncharacterizing
the (classical) geodesic flow and its quantization on connected\r\nlocally finite
graphs without dead ends. The first kind are transfer operators\r\nacting on vector
spaces associated with the set of non backtracking paths in\r\nthe graphs. The
second kind of operators are averaging operators acting on\r\nvector spaces associated
with the space of vertices of the graph. The choice of\r\nvector spaces reflects
regularity properties. Our main results are\r\ncorrespondences between classical
and quantum spectral objects as well as some\r\nautomatic regularity properties
for eigenfunctions of transfer operators."
author:
- first_name: Kai-Uwe
full_name: Bux, Kai-Uwe
last_name: Bux
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
citation:
ama: Bux K-U, Hilgert J, Weich T. Spectral correspondences for finite graphs without
dead ends. arXiv:230710876. Published online 2023.
apa: Bux, K.-U., Hilgert, J., & Weich, T. (2023). Spectral correspondences for
finite graphs without dead ends. In arXiv:2307.10876.
bibtex: '@article{Bux_Hilgert_Weich_2023, title={Spectral correspondences for finite
graphs without dead ends}, journal={arXiv:2307.10876}, author={Bux, Kai-Uwe and
Hilgert, Joachim and Weich, Tobias}, year={2023} }'
chicago: Bux, Kai-Uwe, Joachim Hilgert, and Tobias Weich. “Spectral Correspondences
for Finite Graphs without Dead Ends.” ArXiv:2307.10876, 2023.
ieee: K.-U. Bux, J. Hilgert, and T. Weich, “Spectral correspondences for finite
graphs without dead ends,” arXiv:2307.10876. 2023.
mla: Bux, Kai-Uwe, et al. “Spectral Correspondences for Finite Graphs without Dead
Ends.” ArXiv:2307.10876, 2023.
short: K.-U. Bux, J. Hilgert, T. Weich, ArXiv:2307.10876 (2023).
date_created: 2024-02-06T20:54:28Z
date_updated: 2024-02-19T06:29:24Z
department:
- _id: '10'
- _id: '623'
- _id: '548'
- _id: '91'
external_id:
arxiv:
- '2307.10876'
language:
- iso: eng
publication: arXiv:2307.10876
status: public
title: Spectral correspondences for finite graphs without dead ends
type: preprint
user_id: '49063'
year: '2023'
...
---
_id: '31210'
abstract:
- lang: eng
text: "In this paper we complete the program of relating the Laplace spectrum for\r\nrank
one compact locally symmetric spaces with the first band Ruelle-Pollicott\r\nresonances
of the geodesic flow on its sphere bundle. This program was started\r\nby Flaminio
and Forni for hyperbolic surfaces, continued by Dyatlov, Faure and\r\nGuillarmou
for real hyperbolic spaces and by Guillarmou, Hilgert and Weich for\r\ngeneral
rank one spaces. Except for the case of hyperbolic surfaces a countable\r\nset
of exceptional spectral parameters always left untreated since the\r\ncorresponding
Poisson transforms are neither injective nor surjective. We use\r\nvector valued
Poisson transforms to treat also the exceptional spectral\r\nparameters. For surfaces
the exceptional spectral parameters lead to discrete\r\nseries representations
of $\\mathrm{SL}(2,\\mathbb R)$. In higher dimensions the\r\nsituation is more
complicated, but can be described completely."
author:
- first_name: Christian
full_name: Arends, Christian
id: '43994'
last_name: Arends
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
citation:
ama: 'Arends C, Hilgert J. Spectral correspondences for rank one locally symmetric
spaces: the case of exceptional parameters. Journal de l’École polytechnique
— Mathématiques. 2023;10:335-403. doi:10.5802/jep.220'
apa: 'Arends, C., & Hilgert, J. (2023). Spectral correspondences for rank one
locally symmetric spaces: the case of exceptional parameters. Journal de l’École
Polytechnique — Mathématiques, 10, 335–403. https://doi.org/10.5802/jep.220'
bibtex: '@article{Arends_Hilgert_2023, title={Spectral correspondences for rank
one locally symmetric spaces: the case of exceptional parameters}, volume={10},
DOI={10.5802/jep.220}, journal={Journal
de l’École polytechnique — Mathématiques}, author={Arends, Christian and Hilgert,
Joachim}, year={2023}, pages={335–403} }'
chicago: 'Arends, Christian, and Joachim Hilgert. “Spectral Correspondences for
Rank One Locally Symmetric Spaces: The Case of Exceptional Parameters.” Journal
de l’École Polytechnique — Mathématiques 10 (2023): 335–403. https://doi.org/10.5802/jep.220.'
ieee: 'C. Arends and J. Hilgert, “Spectral correspondences for rank one locally
symmetric spaces: the case of exceptional parameters,” Journal de l’École polytechnique
— Mathématiques, vol. 10, pp. 335–403, 2023, doi: 10.5802/jep.220.'
mla: 'Arends, Christian, and Joachim Hilgert. “Spectral Correspondences for Rank
One Locally Symmetric Spaces: The Case of Exceptional Parameters.” Journal
de l’École Polytechnique — Mathématiques, vol. 10, 2023, pp. 335–403, doi:10.5802/jep.220.'
short: C. Arends, J. Hilgert, Journal de l’École Polytechnique — Mathématiques 10
(2023) 335–403.
date_created: 2022-05-11T12:27:00Z
date_updated: 2024-02-19T06:30:26Z
department:
- _id: '10'
- _id: '548'
- _id: '91'
doi: 10.5802/jep.220
external_id:
arxiv:
- '2112.11073'
intvolume: ' 10'
keyword:
- Ruelle resonances
- Poisson transforms
- locally symmetric spaces
- principal series representations
language:
- iso: eng
page: 335-403
publication: Journal de l’École polytechnique — Mathématiques
publication_identifier:
eissn:
- 2270-518X
issn:
- 2429-7100
publication_status: published
status: public
title: 'Spectral correspondences for rank one locally symmetric spaces: the case of
exceptional parameters'
type: journal_article
user_id: '49063'
volume: 10
year: '2023'
...
---
_id: '51383'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: C.
full_name: Arends, C.
last_name: Arends
citation:
ama: Hilgert J, Arends C. Spectral correspondences for rank one locally symmetric
spaces - The case of exceptional parameters. J de l’École polytechnique — Mathématiques.
2023;10:335-403.
apa: Hilgert, J., & Arends, C. (2023). Spectral correspondences for rank one
locally symmetric spaces - The case of exceptional parameters. J. de l’École
Polytechnique — Mathématiques, 10, 335–403.
bibtex: '@article{Hilgert_Arends_2023, title={Spectral correspondences for rank
one locally symmetric spaces - The case of exceptional parameters}, volume={10},
journal={J. de l’École polytechnique — Mathématiques}, author={Hilgert, Joachim
and Arends, C.}, year={2023}, pages={335–403} }'
chicago: 'Hilgert, Joachim, and C. Arends. “Spectral Correspondences for Rank One
Locally Symmetric Spaces - The Case of Exceptional Parameters.” J. de l’École
Polytechnique — Mathématiques 10 (2023): 335–403.'
ieee: J. Hilgert and C. Arends, “Spectral correspondences for rank one locally symmetric
spaces - The case of exceptional parameters,” J. de l’École polytechnique —
Mathématiques, vol. 10, pp. 335–403, 2023.
mla: Hilgert, Joachim, and C. Arends. “Spectral Correspondences for Rank One Locally
Symmetric Spaces - The Case of Exceptional Parameters.” J. de l’École Polytechnique
— Mathématiques, vol. 10, 2023, pp. 335–403.
short: J. Hilgert, C. Arends, J. de l’École Polytechnique — Mathématiques 10 (2023)
335–403.
date_created: 2024-02-19T06:34:11Z
date_updated: 2024-02-19T06:34:16Z
department:
- _id: '91'
intvolume: ' 10'
language:
- iso: eng
page: 335-403
publication: J. de l'École polytechnique — Mathématiques
publication_status: published
status: public
title: Spectral correspondences for rank one locally symmetric spaces - The case of
exceptional parameters
type: journal_article
user_id: '49063'
volume: 10
year: '2023'
...
---
_id: '51384'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: H.
full_name: Glöckner, H.
last_name: Glöckner
citation:
ama: Hilgert J, Glöckner H. Aspects of control theory on infinite-dimensional Lie
groups and G-manifolds. J Diff Equations. 2023;343:186-232.
apa: Hilgert, J., & Glöckner, H. (2023). Aspects of control theory on infinite-dimensional
Lie groups and G-manifolds. J. Diff. Equations, 343, 186–232.
bibtex: '@article{Hilgert_Glöckner_2023, title={Aspects of control theory on infinite-dimensional
Lie groups and G-manifolds}, volume={343}, journal={J. Diff. Equations}, author={Hilgert,
Joachim and Glöckner, H.}, year={2023}, pages={186–232} }'
chicago: 'Hilgert, Joachim, and H. Glöckner. “Aspects of Control Theory on Infinite-Dimensional
Lie Groups and G-Manifolds.” J. Diff. Equations 343 (2023): 186–232.'
ieee: J. Hilgert and H. Glöckner, “Aspects of control theory on infinite-dimensional
Lie groups and G-manifolds,” J. Diff. Equations, vol. 343, pp. 186–232,
2023.
mla: Hilgert, Joachim, and H. Glöckner. “Aspects of Control Theory on Infinite-Dimensional
Lie Groups and G-Manifolds.” J. Diff. Equations, vol. 343, 2023, pp. 186–232.
short: J. Hilgert, H. Glöckner, J. Diff. Equations 343 (2023) 186–232.
date_created: 2024-02-19T06:35:08Z
date_updated: 2024-02-19T06:35:13Z
department:
- _id: '91'
intvolume: ' 343'
language:
- iso: eng
page: 186-232
publication: J. Diff. Equations
publication_status: published
status: public
title: Aspects of control theory on infinite-dimensional Lie groups and G-manifolds
type: journal_article
user_id: '49063'
volume: 343
year: '2023'
...
---
_id: '51499'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: C.
full_name: Arends, C.
last_name: Arends
- first_name: J.
full_name: Frahm, J.
last_name: Frahm
citation:
ama: Hilgert J, Arends C, Frahm J. A pairing formula for resonant states on finite
regular graphs. Published online 2023.
apa: Hilgert, J., Arends, C., & Frahm, J. (2023). A pairing formula for resonant
states on finite regular graphs.
bibtex: '@article{Hilgert_Arends_Frahm_2023, title={A pairing formula for resonant
states on finite regular graphs}, author={Hilgert, Joachim and Arends, C. and
Frahm, J.}, year={2023} }'
chicago: Hilgert, Joachim, C. Arends, and J. Frahm. “A Pairing Formula for Resonant
States on Finite Regular Graphs,” 2023.
ieee: J. Hilgert, C. Arends, and J. Frahm, “A pairing formula for resonant states
on finite regular graphs.” 2023.
mla: Hilgert, Joachim, et al. A Pairing Formula for Resonant States on Finite
Regular Graphs. 2023.
short: J. Hilgert, C. Arends, J. Frahm, (2023).
date_created: 2024-02-19T10:30:18Z
date_updated: 2024-02-19T10:31:18Z
department:
- _id: '91'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/pdf/2312.10509.pdf
oa: '1'
publication_status: published
status: public
title: A pairing formula for resonant states on finite regular graphs
type: preprint
user_id: '49063'
year: '2023'
...
---
_id: '51500'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: C.
full_name: Arends, C.
last_name: Arends
- first_name: J.
full_name: Frahm, J.
last_name: Frahm
citation:
ama: Hilgert J, Arends C, Frahm J. Edge Laplacians and vector valued Poisson transforms
for graphs. Published online 2023.
apa: Hilgert, J., Arends, C., & Frahm, J. (2023). Edge Laplacians and vector
valued Poisson transforms for graphs.
bibtex: '@article{Hilgert_Arends_Frahm_2023, title={Edge Laplacians and vector valued
Poisson transforms for graphs}, author={Hilgert, Joachim and Arends, C. and Frahm,
J.}, year={2023} }'
chicago: Hilgert, Joachim, C. Arends, and J. Frahm. “Edge Laplacians and Vector
Valued Poisson Transforms for Graphs,” 2023.
ieee: J. Hilgert, C. Arends, and J. Frahm, “Edge Laplacians and vector valued Poisson
transforms for graphs.” 2023.
mla: Hilgert, Joachim, et al. Edge Laplacians and Vector Valued Poisson Transforms
for Graphs. 2023.
short: J. Hilgert, C. Arends, J. Frahm, (2023).
date_created: 2024-02-19T10:31:14Z
date_updated: 2024-02-19T10:31:18Z
department:
- _id: '91'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/pdf/2312.09101.pdf
oa: '1'
publication_status: published
status: public
title: Edge Laplacians and vector valued Poisson transforms for graphs
type: preprint
user_id: '49063'
year: '2023'
...
---
_id: '51502'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: T.
full_name: Baier, T.
last_name: Baier
- first_name: O.
full_name: Kaya, O.
last_name: Kaya
- first_name: J.
full_name: Mourao, J.
last_name: Mourao
- first_name: J.
full_name: Nunes, J.
last_name: Nunes
citation:
ama: Hilgert J, Baier T, Kaya O, Mourao J, Nunes J. Quantization in fibering polarizations,
Mabuchi rays and geometric Peter--Weyl theorem. Published online 2023.
apa: Hilgert, J., Baier, T., Kaya, O., Mourao, J., & Nunes, J. (2023). Quantization
in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem.
bibtex: '@article{Hilgert_Baier_Kaya_Mourao_Nunes_2023, title={Quantization in fibering
polarizations, Mabuchi rays and geometric Peter--Weyl theorem}, author={Hilgert,
Joachim and Baier, T. and Kaya, O. and Mourao, J. and Nunes, J.}, year={2023}
}'
chicago: Hilgert, Joachim, T. Baier, O. Kaya, J. Mourao, and J. Nunes. “Quantization
in Fibering Polarizations, Mabuchi Rays and Geometric Peter--Weyl Theorem,” 2023.
ieee: J. Hilgert, T. Baier, O. Kaya, J. Mourao, and J. Nunes, “Quantization in fibering
polarizations, Mabuchi rays and geometric Peter--Weyl theorem.” 2023.
mla: Hilgert, Joachim, et al. Quantization in Fibering Polarizations, Mabuchi
Rays and Geometric Peter--Weyl Theorem. 2023.
short: J. Hilgert, T. Baier, O. Kaya, J. Mourao, J. Nunes, (2023).
date_created: 2024-02-19T10:33:16Z
date_updated: 2024-02-19T10:33:20Z
department:
- _id: '91'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/pdf/2301.10853.pdf
oa: '1'
publication_status: published
status: public
title: Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl
theorem
type: preprint
user_id: '49063'
year: '2023'
...
---
_id: '51521'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: Y.
full_name: Guedes Bonthonneau, Y.
last_name: Guedes Bonthonneau
- first_name: C.
full_name: Guillarmou, C.
last_name: Guillarmou
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
citation:
ama: Hilgert J, Guedes Bonthonneau Y, Guillarmou C, Weich T. Ruelle-Taylor resonances
of Anosov actions. Published online 2023.
apa: Hilgert, J., Guedes Bonthonneau, Y., Guillarmou, C., & Weich, T. (2023).
Ruelle-Taylor resonances of Anosov actions.
bibtex: '@article{Hilgert_Guedes Bonthonneau_Guillarmou_Weich_2023, title={Ruelle-Taylor
resonances of Anosov actions}, author={Hilgert, Joachim and Guedes Bonthonneau,
Y. and Guillarmou, C. and Weich, Tobias}, year={2023} }'
chicago: Hilgert, Joachim, Y. Guedes Bonthonneau, C. Guillarmou, and Tobias Weich.
“Ruelle-Taylor Resonances of Anosov Actions,” 2023.
ieee: J. Hilgert, Y. Guedes Bonthonneau, C. Guillarmou, and T. Weich, “Ruelle-Taylor
resonances of Anosov actions.” 2023.
mla: Hilgert, Joachim, et al. Ruelle-Taylor Resonances of Anosov Actions.
2023.
short: J. Hilgert, Y. Guedes Bonthonneau, C. Guillarmou, T. Weich, (2023).
date_created: 2024-02-20T08:20:13Z
date_updated: 2024-02-20T08:20:16Z
department:
- _id: '91'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/pdf/2007.14275.pdf
oa: '1'
publication_status: published
status: public
title: Ruelle-Taylor resonances of Anosov actions
type: preprint
user_id: '49063'
year: '2023'
...
---
_id: '34793'
article_type: original
author:
- first_name: Helge
full_name: Glöckner, Helge
id: '178'
last_name: Glöckner
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
citation:
ama: Glöckner H, Hilgert J. Aspects of control theory on infinite-dimensional Lie
groups and G-manifolds. Journal of Differential Equations. 2023;343:186–232.
doi:10.1016/j.jde.2022.10.001
apa: Glöckner, H., & Hilgert, J. (2023). Aspects of control theory on infinite-dimensional
Lie groups and G-manifolds. Journal of Differential Equations, 343,
186–232. https://doi.org/10.1016/j.jde.2022.10.001
bibtex: '@article{Glöckner_Hilgert_2023, title={Aspects of control theory on infinite-dimensional
Lie groups and G-manifolds}, volume={343}, DOI={10.1016/j.jde.2022.10.001},
journal={Journal of Differential Equations}, author={Glöckner, Helge and Hilgert,
Joachim}, year={2023}, pages={186–232} }'
chicago: 'Glöckner, Helge, and Joachim Hilgert. “Aspects of Control Theory on Infinite-Dimensional
Lie Groups and G-Manifolds.” Journal of Differential Equations 343 (2023):
186–232. https://doi.org/10.1016/j.jde.2022.10.001.'
ieee: 'H. Glöckner and J. Hilgert, “Aspects of control theory on infinite-dimensional
Lie groups and G-manifolds,” Journal of Differential Equations, vol. 343,
pp. 186–232, 2023, doi: 10.1016/j.jde.2022.10.001.'
mla: Glöckner, Helge, and Joachim Hilgert. “Aspects of Control Theory on Infinite-Dimensional
Lie Groups and G-Manifolds.” Journal of Differential Equations, vol. 343,
2023, pp. 186–232, doi:10.1016/j.jde.2022.10.001.
short: H. Glöckner, J. Hilgert, Journal of Differential Equations 343 (2023) 186–232.
date_created: 2022-12-21T19:31:13Z
date_updated: 2024-03-22T16:02:32Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
- _id: '91'
doi: 10.1016/j.jde.2022.10.001
external_id:
arxiv:
- '2007.11277'
intvolume: ' 343'
keyword:
- '22E65'
- 28B05
- 34A12
- 34H05
- '46E30'
- '46E40'
language:
- iso: eng
page: 186–232
publication: Journal of Differential Equations
publication_identifier:
issn:
- 0022-0396
quality_controlled: '1'
status: public
title: Aspects of control theory on infinite-dimensional Lie groups and G-manifolds
type: journal_article
user_id: '178'
volume: 343
year: '2023'
...
---
_id: '35322'
author:
- first_name: Kai-Uwe
full_name: Bux, Kai-Uwe
last_name: Bux
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
citation:
ama: Bux K-U, Hilgert J, Weich T. Poisson transforms for trees of bounded degree.
Journal of Spectral Theory. 2022;12(2):659-681. doi:10.4171/jst/414
apa: Bux, K.-U., Hilgert, J., & Weich, T. (2022). Poisson transforms for trees
of bounded degree. Journal of Spectral Theory, 12(2), 659–681. https://doi.org/10.4171/jst/414
bibtex: '@article{Bux_Hilgert_Weich_2022, title={Poisson transforms for trees of
bounded degree}, volume={12}, DOI={10.4171/jst/414},
number={2}, journal={Journal of Spectral Theory}, publisher={European Mathematical
Society - EMS - Publishing House GmbH}, author={Bux, Kai-Uwe and Hilgert, Joachim
and Weich, Tobias}, year={2022}, pages={659–681} }'
chicago: 'Bux, Kai-Uwe, Joachim Hilgert, and Tobias Weich. “Poisson Transforms for
Trees of Bounded Degree.” Journal of Spectral Theory 12, no. 2 (2022):
659–81. https://doi.org/10.4171/jst/414.'
ieee: 'K.-U. Bux, J. Hilgert, and T. Weich, “Poisson transforms for trees of bounded
degree,” Journal of Spectral Theory, vol. 12, no. 2, pp. 659–681, 2022,
doi: 10.4171/jst/414.'
mla: Bux, Kai-Uwe, et al. “Poisson Transforms for Trees of Bounded Degree.” Journal
of Spectral Theory, vol. 12, no. 2, European Mathematical Society - EMS -
Publishing House GmbH, 2022, pp. 659–81, doi:10.4171/jst/414.
short: K.-U. Bux, J. Hilgert, T. Weich, Journal of Spectral Theory 12 (2022) 659–681.
date_created: 2023-01-06T08:49:06Z
date_updated: 2024-02-19T06:28:12Z
department:
- _id: '10'
- _id: '623'
- _id: '548'
- _id: '91'
doi: 10.4171/jst/414
intvolume: ' 12'
issue: '2'
keyword:
- Geometry and Topology
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
page: 659-681
publication: Journal of Spectral Theory
publication_identifier:
issn:
- 1664-039X
publication_status: published
publisher: European Mathematical Society - EMS - Publishing House GmbH
status: public
title: Poisson transforms for trees of bounded degree
type: journal_article
user_id: '49063'
volume: 12
year: '2022'
...
---
_id: '51385'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
- first_name: K.-U.
full_name: Bux, K.-U.
last_name: Bux
citation:
ama: Hilgert J, Weich T, Bux K-U. Poisson transforms for trees of bounded degree.
J of Spectral Theory. 2022;12:659-681.
apa: Hilgert, J., Weich, T., & Bux, K.-U. (2022). Poisson transforms for trees
of bounded degree. J. of Spectral Theory, 12, 659–681.
bibtex: '@article{Hilgert_Weich_Bux_2022, title={Poisson transforms for trees of
bounded degree}, volume={12}, journal={J. of Spectral Theory}, author={Hilgert,
Joachim and Weich, Tobias and Bux, K.-U.}, year={2022}, pages={659–681} }'
chicago: 'Hilgert, Joachim, Tobias Weich, and K.-U. Bux. “Poisson Transforms for
Trees of Bounded Degree.” J. of Spectral Theory 12 (2022): 659–81.'
ieee: J. Hilgert, T. Weich, and K.-U. Bux, “Poisson transforms for trees of bounded
degree,” J. of Spectral Theory, vol. 12, pp. 659–681, 2022.
mla: Hilgert, Joachim, et al. “Poisson Transforms for Trees of Bounded Degree.”
J. of Spectral Theory, vol. 12, 2022, pp. 659–81.
short: J. Hilgert, T. Weich, K.-U. Bux, J. of Spectral Theory 12 (2022) 659–681.
date_created: 2024-02-19T06:36:17Z
date_updated: 2024-02-19T06:36:21Z
department:
- _id: '91'
intvolume: ' 12'
language:
- iso: eng
page: 659-681
publication: J. of Spectral Theory
publication_status: published
status: public
title: Poisson transforms for trees of bounded degree
type: journal_article
user_id: '49063'
volume: 12
year: '2022'
...
---
_id: '51554'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
citation:
ama: 'Hilgert J. Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second
Edition. AMS/MAA Press 2021. Mathematische Semesterberichte. 2022;69:151–153.
doi:10.1007/s00591-021-00314-7'
apa: 'Hilgert, J. (2022). Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics,
Second Edition. AMS/MAA Press 2021. In Mathematische Semesterberichte (Vol.
69, pp. 151–153). https://doi.org/10.1007/s00591-021-00314-7'
bibtex: '@article{Hilgert_2022, title={Ethan D. Bolker und Maura B. Mast: Common
Sense Mathematics, Second Edition. AMS/MAA Press 2021}, volume={69}, DOI={10.1007/s00591-021-00314-7},
journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2022},
pages={151–153} }'
chicago: 'Hilgert, Joachim. “Ethan D. Bolker Und Maura B. Mast: Common Sense Mathematics,
Second Edition. AMS/MAA Press 2021.” Mathematische Semesterberichte, 2022.
https://doi.org/10.1007/s00591-021-00314-7.'
ieee: 'J. Hilgert, “Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics,
Second Edition. AMS/MAA Press 2021,” Mathematische Semesterberichte, vol.
69. pp. 151–153, 2022, doi: 10.1007/s00591-021-00314-7.'
mla: 'Hilgert, Joachim. “Ethan D. Bolker Und Maura B. Mast: Common Sense Mathematics,
Second Edition. AMS/MAA Press 2021.” Mathematische Semesterberichte, vol.
69, 2022, pp. 151–153, doi:10.1007/s00591-021-00314-7.'
short: J. Hilgert, Mathematische Semesterberichte 69 (2022) 151–153.
date_created: 2024-02-20T09:49:04Z
date_updated: 2024-02-20T09:52:53Z
department:
- _id: '91'
doi: 10.1007/s00591-021-00314-7
intvolume: ' 69'
language:
- iso: eng
page: 151–153
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second Edition.
AMS/MAA Press 2021'
type: review
user_id: '49063'
volume: 69
year: '2022'
...
---
_id: '35702'
abstract:
- lang: eng
text: AbstractMathematics Learning Support Centres
are becoming more and more common in higher education both internationally and
in Germany. Whereas it is clear that their quality largely depends on a functioning
interaction in consultations, little is known about how such consultations proceed
in detail. On the basis of models from the literature and recorded support sessions
(N = 36), we constructed a process model that divides consultations into four
ideal–typical phases. In the individual consultations, forward or backward leaps
occur, but overall the model seems to describe the data well. A high intercoder
reliability shows that it can be applied consistently on real data by different
researchers. An analysis of the consultations between students and tutors shows
that both mainly work on past attempts or thoughts of the students to solve the
exercise or problems and on concrete strategies to solve a problem within the
session. In contrast, very little time is dedicated to summarizing and reflecting
the solution. The data allows for a more in-depth discussion of what constitutes
quality in advising processes and how it might be further explored. Practically,
the model may structure support sessions and help in focussing on different goals
in different phases.
author:
- first_name: Mirko
full_name: Schürmann, Mirko
id: '59707'
last_name: Schürmann
orcid: 0000-0003-2646-085X
- first_name: Anja
full_name: Panse, Anja
last_name: Panse
- first_name: Zain
full_name: Shaikh, Zain
last_name: Shaikh
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Niclas
full_name: Schaper, Niclas
last_name: Schaper
- first_name: Michael
full_name: Liebendörfer, Michael
id: '30933'
last_name: Liebendörfer
orcid: 0000-0001-9887-2074
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
citation:
ama: Schürmann M, Panse A, Shaikh Z, et al. Consultation Phases in Mathematics Learning
and Support Centres. International Journal of Research in Undergraduate Mathematics
Education. 2021;8(1):94-120. doi:10.1007/s40753-021-00154-9
apa: Schürmann, M., Panse, A., Shaikh, Z., Biehler, R., Schaper, N., Liebendörfer,
M., & Hilgert, J. (2021). Consultation Phases in Mathematics Learning and
Support Centres. International Journal of Research in Undergraduate Mathematics
Education, 8(1), 94–120. https://doi.org/10.1007/s40753-021-00154-9
bibtex: '@article{Schürmann_Panse_Shaikh_Biehler_Schaper_Liebendörfer_Hilgert_2021,
title={Consultation Phases in Mathematics Learning and Support Centres}, volume={8},
DOI={10.1007/s40753-021-00154-9},
number={1}, journal={International Journal of Research in Undergraduate Mathematics
Education}, publisher={Springer Science and Business Media LLC}, author={Schürmann,
Mirko and Panse, Anja and Shaikh, Zain and Biehler, Rolf and Schaper, Niclas and
Liebendörfer, Michael and Hilgert, Joachim}, year={2021}, pages={94–120} }'
chicago: 'Schürmann, Mirko, Anja Panse, Zain Shaikh, Rolf Biehler, Niclas Schaper,
Michael Liebendörfer, and Joachim Hilgert. “Consultation Phases in Mathematics
Learning and Support Centres.” International Journal of Research in Undergraduate
Mathematics Education 8, no. 1 (2021): 94–120. https://doi.org/10.1007/s40753-021-00154-9.'
ieee: 'M. Schürmann et al., “Consultation Phases in Mathematics Learning
and Support Centres,” International Journal of Research in Undergraduate Mathematics
Education, vol. 8, no. 1, pp. 94–120, 2021, doi: 10.1007/s40753-021-00154-9.'
mla: Schürmann, Mirko, et al. “Consultation Phases in Mathematics Learning and Support
Centres.” International Journal of Research in Undergraduate Mathematics Education,
vol. 8, no. 1, Springer Science and Business Media LLC, 2021, pp. 94–120, doi:10.1007/s40753-021-00154-9.
short: M. Schürmann, A. Panse, Z. Shaikh, R. Biehler, N. Schaper, M. Liebendörfer,
J. Hilgert, International Journal of Research in Undergraduate Mathematics Education
8 (2021) 94–120.
date_created: 2023-01-10T09:09:23Z
date_updated: 2024-02-19T06:26:14Z
department:
- _id: '34'
- _id: '10'
- _id: '97'
- _id: '363'
- _id: '423'
- _id: '91'
doi: 10.1007/s40753-021-00154-9
intvolume: ' 8'
issue: '1'
keyword:
- Education
- Mathematics (miscellaneous)
language:
- iso: eng
page: 94-120
publication: International Journal of Research in Undergraduate Mathematics Education
publication_identifier:
issn:
- 2198-9745
- 2198-9753
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Consultation Phases in Mathematics Learning and Support Centres
type: journal_article
user_id: '49063'
volume: 8
year: '2021'
...
---
_id: '31263'
author:
- first_name: Colin
full_name: Guillarmou, Colin
last_name: Guillarmou
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
citation:
ama: Guillarmou C, Hilgert J, Weich T. High frequency limits for invariant Ruelle
densities. Annales Henri Lebesgue. 2021;4:81-119. doi:10.5802/ahl.67
apa: Guillarmou, C., Hilgert, J., & Weich, T. (2021). High frequency limits
for invariant Ruelle densities. Annales Henri Lebesgue, 4, 81–119.
https://doi.org/10.5802/ahl.67
bibtex: '@article{Guillarmou_Hilgert_Weich_2021, title={High frequency limits for
invariant Ruelle densities}, volume={4}, DOI={10.5802/ahl.67},
journal={Annales Henri Lebesgue}, publisher={Cellule MathDoc/CEDRAM}, author={Guillarmou,
Colin and Hilgert, Joachim and Weich, Tobias}, year={2021}, pages={81–119} }'
chicago: 'Guillarmou, Colin, Joachim Hilgert, and Tobias Weich. “High Frequency
Limits for Invariant Ruelle Densities.” Annales Henri Lebesgue 4 (2021):
81–119. https://doi.org/10.5802/ahl.67.'
ieee: 'C. Guillarmou, J. Hilgert, and T. Weich, “High frequency limits for invariant
Ruelle densities,” Annales Henri Lebesgue, vol. 4, pp. 81–119, 2021, doi:
10.5802/ahl.67.'
mla: Guillarmou, Colin, et al. “High Frequency Limits for Invariant Ruelle Densities.”
Annales Henri Lebesgue, vol. 4, Cellule MathDoc/CEDRAM, 2021, pp. 81–119,
doi:10.5802/ahl.67.
short: C. Guillarmou, J. Hilgert, T. Weich, Annales Henri Lebesgue 4 (2021) 81–119.
date_created: 2022-05-17T12:05:17Z
date_updated: 2024-02-19T06:27:43Z
department:
- _id: '10'
- _id: '623'
- _id: '548'
- _id: '91'
doi: 10.5802/ahl.67
external_id:
arxiv:
- '1803.06717'
intvolume: ' 4'
language:
- iso: eng
page: 81-119
publication: Annales Henri Lebesgue
publication_identifier:
issn:
- 2644-9463
publication_status: published
publisher: Cellule MathDoc/CEDRAM
status: public
title: High frequency limits for invariant Ruelle densities
type: journal_article
user_id: '49063'
volume: 4
year: '2021'
...
---
_id: '36271'
author:
- first_name: Dominik
full_name: Brennecken, Dominik
id: '55911'
last_name: Brennecken
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: Lorenzo
full_name: Ciardo, Lorenzo
last_name: Ciardo
citation:
ama: Brennecken D, Hilgert J, Ciardo L. Algebraically Independent Generators for
the Algebra of Invariant Differential Operators on SLn(R)/SOn(R). Journal of
Lie Theory. 2021;31(2):459--468. doi:10.48550/arXiv.2008.07479
apa: Brennecken, D., Hilgert, J., & Ciardo, L. (2021). Algebraically Independent
Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R).
Journal of Lie Theory, 31(2), 459--468. https://doi.org/10.48550/arXiv.2008.07479
bibtex: '@article{Brennecken_Hilgert_Ciardo_2021, title={Algebraically Independent
Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R)},
volume={31}, DOI={10.48550/arXiv.2008.07479},
number={2}, journal={Journal of Lie Theory}, publisher={Heldermann Verlag}, author={Brennecken,
Dominik and Hilgert, Joachim and Ciardo, Lorenzo}, year={2021}, pages={459--468}
}'
chicago: 'Brennecken, Dominik, Joachim Hilgert, and Lorenzo Ciardo. “Algebraically
Independent Generators for the Algebra of Invariant Differential Operators on
SLn(R)/SOn(R).” Journal of Lie Theory 31, no. 2 (2021): 459--468. https://doi.org/10.48550/arXiv.2008.07479.'
ieee: 'D. Brennecken, J. Hilgert, and L. Ciardo, “Algebraically Independent Generators
for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R),” Journal
of Lie Theory, vol. 31, no. 2, pp. 459--468, 2021, doi: 10.48550/arXiv.2008.07479.'
mla: Brennecken, Dominik, et al. “Algebraically Independent Generators for the Algebra
of Invariant Differential Operators on SLn(R)/SOn(R).” Journal of Lie Theory,
vol. 31, no. 2, Heldermann Verlag, 2021, pp. 459--468, doi:10.48550/arXiv.2008.07479.
short: D. Brennecken, J. Hilgert, L. Ciardo, Journal of Lie Theory 31 (2021) 459--468.
date_created: 2023-01-12T08:23:28Z
date_updated: 2024-02-19T06:27:09Z
department:
- _id: '555'
- _id: '91'
doi: 10.48550/arXiv.2008.07479
intvolume: ' 31'
issue: '2'
language:
- iso: eng
page: 459--468
publication: Journal of Lie Theory
publication_status: published
publisher: Heldermann Verlag
status: public
title: Algebraically Independent Generators for the Algebra of Invariant Differential
Operators on SLn(R)/SOn(R)
type: journal_article
user_id: '49063'
volume: 31
year: '2021'
...
---
_id: '51493'
citation:
ama: Hilgert J, Hilgert I, eds. Mathematik - Ein Reiseführer 2. Auflage.
Springer Spektrum; 2021.
apa: Hilgert, J., & Hilgert, I. (Eds.). (2021). Mathematik - Ein Reiseführer
2. Auflage. Springer Spektrum.
bibtex: '@book{Hilgert_Hilgert_2021, title={Mathematik - Ein Reiseführer 2. Auflage},
publisher={Springer Spektrum}, year={2021} }'
chicago: Hilgert, Joachim, and I. Hilgert, eds. Mathematik - Ein Reiseführer
2. Auflage. Springer Spektrum, 2021.
ieee: J. Hilgert and I. Hilgert, Eds., Mathematik - Ein Reiseführer 2. Auflage.
Springer Spektrum, 2021.
mla: Hilgert, Joachim, and I. Hilgert, editors. Mathematik - Ein Reiseführer
2. Auflage. Springer Spektrum, 2021.
short: J. Hilgert, I. Hilgert, eds., Mathematik - Ein Reiseführer 2. Auflage, Springer
Spektrum, 2021.
date_created: 2024-02-19T10:21:25Z
date_updated: 2024-02-19T10:22:18Z
department:
- _id: '91'
editor:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: I.
full_name: Hilgert, I.
last_name: Hilgert
language:
- iso: ger
publication_status: published
publisher: Springer Spektrum
status: public
title: Mathematik - Ein Reiseführer 2. Auflage
type: book_editor
user_id: '49063'
year: '2021'
...
---
_id: '51503'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
- first_name: L.
full_name: Wolf, L.
last_name: Wolf
citation:
ama: Hilgert J, Weich T, Wolf L. Higher-rank quantum-classical correspondence. Published
online 2021.
apa: Hilgert, J., Weich, T., & Wolf, L. (2021). Higher-rank quantum-classical
correspondence.
bibtex: '@article{Hilgert_Weich_Wolf_2021, title={Higher-rank quantum-classical
correspondence}, author={Hilgert, Joachim and Weich, Tobias and Wolf, L.}, year={2021}
}'
chicago: Hilgert, Joachim, Tobias Weich, and L. Wolf. “Higher-Rank Quantum-Classical
Correspondence,” 2021.
ieee: J. Hilgert, T. Weich, and L. Wolf, “Higher-rank quantum-classical correspondence.”
2021.
mla: Hilgert, Joachim, et al. Higher-Rank Quantum-Classical Correspondence.
2021.
short: J. Hilgert, T. Weich, L. Wolf, (2021).
date_created: 2024-02-19T10:34:28Z
date_updated: 2024-02-19T10:34:32Z
department:
- _id: '91'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/pdf/2103.05667.pdf
oa: '1'
publication_status: published
status: public
title: Higher-rank quantum-classical correspondence
type: preprint
user_id: '49063'
year: '2021'
...