@article{63505,
  abstract     = {{<jats:title>Abstract</jats:title>
               <jats:p>The main goal of this work is to study the $L^{p}$-asymptotic behavior of solutions to the heat equation on arbitrary rank Riemannian symmetric spaces of non-compact-type $G/K$ for non-bi-$K$ invariant initial data. For initial data $u_{0}$ compactly supported or in a weighted $L^{1}(G/K)$ space with a weight depending on $p\in [1, \infty ]$, we introduce a mass function $M_{p}(u_{0})(\cdot )$, and prove that if $h_{t}$ is the heat kernel on $G/K$, then $$ \begin{align*} &amp;\|h_t\|_p^{-1}\,\|u_0\ast h_t \, - \,M_p(u_0)(\cdot)\,h_t\|_p \rightarrow 0 \quad \textrm{as} \quad t\rightarrow \infty.\end{align*} $$ Interestingly, the $L^{p}$ heat concentration leads to completely different expressions of the mass function for $1\leq p &amp;lt;2$ and $2\leq p\leq \infty $. If we further assume that the initial data are bi-$K$-invariant, then our mass function boils down to the constant $\int _{G/K}u_{0}$ in the case $p=1$, and more generally to $\mathcal{H}{u_{0}}(i\rho (2/p-1))$ if $1\leq p&amp;lt;2$, and to $\mathcal{H}{u_{0}}(0)$ if $2\leq p \leq \infty $. Thus, we improve upon results by Vázquez, Anker et al., and Naik et al., clarifying the nature of the problem.</jats:p>}},
  author       = {{Papageorgiou, Efthymia}},
  issn         = {{1073-7928}},
  journal      = {{International Mathematics Research Notices}},
  number       = {{7}},
  publisher    = {{Oxford University Press (OUP)}},
  title        = {{{<i>L</i>          p Asymptotics for the Heat Equation on Symmetric Spaces for Non-symmetric Solutions}}},
  doi          = {{10.1093/imrn/rnaf074}},
  volume       = {{2025}},
  year         = {{2025}},
}

@unpublished{64267,
  abstract     = {{Let $\mathbb{H}^n$ be the $n$-dimensional real hyperbolic space, $Δ$ its nonnegative Laplace--Beltrami operator whose bottom of the spectrum we denote by $λ_{0}$, and $σ\in (0,1)$.
  The aim of this paper is twofold. On the one hand, we determine the Fujita exponent for the fractional heat equation \[\partial_{t} u + Δ^σu = e^{βt}|u|^{γ-1}u,\] by proving that nontrivial positive global solutions exist if and only if $γ\geq 1 + β/ λ_{0}^σ$. On the other hand, we prove the existence of non-negative, bounded and finite energy solutions of the semilinear fractional elliptic equation \[
  Δ^σ v - λ^σ v - v^γ=0 \] for $0\leq λ\leq λ_{0}$ and $1<γ< \frac{n+2σ}{n-2σ}$. The two problems are known to be connected and the latter, aside from its independent interest, is actually instrumental to the former.
  \smallskip
  At the core of our results stands a novel fractional Poincaré-type inequality expressed in terms of a new scale of $L^{2}$ fractional Sobolev spaces, which sharpens those known so far, and which holds more generally on Riemannian symmetric spaces of non-compact type. We also establish an associated Rellich--Kondrachov-like compact embedding theorem for radial functions, along with other related properties.}},
  author       = {{Bruno, Tommaso and Papageorgiou, Efthymia}},
  booktitle    = {{arXiv:2509.12349}},
  title        = {{{Blow-up exponents and a semilinear elliptic equation for the fractional Laplacian on hyperbolic spaces}}},
  year         = {{2025}},
}

@inbook{48274,
  author       = {{Foerster, Anne}},
  booktitle    = {{Emotionen im Krieg - Krieg der Emotionen}},
  editor       = {{Quaas, Franziska and Raum, Theresia}},
  pages        = {{139--158}},
  publisher    = {{Franz Steiner Verlag}},
  title        = {{{Freudig in die Schlacht - Emotionen als Codes für die recta intentio im gerechten Krieg (8.- 10. Jahrhundert)}}},
  year         = {{2025}},
}

@inproceedings{66171,
  author       = {{Henkel, Jörg and Siddhu, Lokesh and Nassar, Hassan and Bauer, Lars and Chen, Jian-Jia and Hakert, Christian and Seidl, Tristan and Chen, Kuan Hsun and Hu, Xiaobo Sharon and Li, Mengyuan and Yang, Chia-Lin and Wei, Ming-Liang}},
  booktitle    = {{Proceedings of the 43rd IEEE/ACM International Conference on Computer-Aided Design}},
  publisher    = {{ACM}},
  title        = {{{Co-Designing NVM-based Systems for Machine Learning and In-memory Search Applications}}},
  doi          = {{10.1145/3676536.3697114}},
  year         = {{2025}},
}

@article{66168,
  title        = {{{InTreeger: An End-to-End Framework for Integer-Only Decision Tree Inference}}},
  doi          = {{10.48550/ARXIV.2505.15391}},
  year         = {{2025}},
}

@article{66278,
  author       = {{Biehler, Rolf and Kawakami, Takashi and Lampen, Erna and Weiland, Travis and Zapata-Cardona, Lucía}},
  journal      = {{European Mathematical Society Magazine}},
  number       = {{136}},
  pages        = {{49–52}},
  title        = {{{Statistics and data science education as a vehicle for empowering citizens–short summary of a survey}}},
  doi          = {{10.17619/UNIPB/1-2633}},
  year         = {{2025}},
}

@article{66291,
  abstract     = {{<jats:title>Abstract</jats:title>
          <jats:p>In 1993 Keski-Vakkuri and Wen introduced a model for the fractional quantum Hall effect based on multilayer two-dimensional electron systems satisfying quasi-periodic boundary conditions. Such a model is essentially specified by a choice of a complex torus <jats:italic>E</jats:italic> and a symmetric positively definite matrix <jats:italic>K</jats:italic> of size <jats:italic>g</jats:italic> with non-negative integral coefficients, satisfying some further constraints. The space of the corresponding wave functions turns out to be <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$\delta $$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mi>δ</mml:mi>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula>-dimensional, where <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$\delta $$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mi>δ</mml:mi>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula> is the determinant of <jats:italic>K</jats:italic>. We construct a hermitian holomorphic bundle of rank <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$\delta $$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mi>δ</mml:mi>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula> on the abelian variety <jats:italic>A</jats:italic> (which is the <jats:italic>g</jats:italic>-fold product of the torus <jats:italic>E</jats:italic> with itself), whose fibres can be identified with the space of wave function of Keski-Vakkuri and Wen. A rigorous construction of this “magnetic bundle” involves the technique of Fourier–Mukai transforms on abelian varieties. The constructed bundle turns out to be simple and semi-homogeneous and it can be equipped with two different (and natural) hermitian metrics: the one coming from the center-of-mass dynamics and the one coming from the Hilbert space of the underlying many-body system. We prove that the canonical Bott–Chern connection of the first hermitian metric is always projectively flat and give sufficient conditions for this property for the second hermitian metric.</jats:p>}},
  author       = {{Burban, Igor and Klevtsov, Semyon}},
  issn         = {{0010-3616}},
  journal      = {{Communications in Mathematical Physics}},
  number       = {{5}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Algebraic Geometry of the Multilayer Model of the Fractional Quantum Hall Effect on a Torus}}},
  doi          = {{10.1007/s00220-025-05267-9}},
  volume       = {{406}},
  year         = {{2025}},
}

@inbook{66296,
  abstract     = {{<p>In this paper, we elaborate ring theoretic properties of nodal orders. In particular, we prove that they are closed under taking crossed products with finite groups.</p>}},
  author       = {{Burban, Igor and Drozd, Yuriy}},
  booktitle    = {{Contemporary Mathematics}},
  isbn         = {{9781470481049}},
  issn         = {{0271-4132}},
  publisher    = {{American Mathematical Society}},
  title        = {{{Some aspects of the theory of nodal orders}}},
  doi          = {{10.1090/conm/829/16543}},
  year         = {{2025}},
}

@article{66294,
  author       = {{Burban, Igor}},
  issn         = {{1726-3255}},
  journal      = {{Algebra and Discrete Mathematics}},
  number       = {{2}},
  pages        = {{166--203}},
  publisher    = {{Luhansk Taras Shevchenko National University}},
  title        = {{{Exceptional hereditary curves and real curve orbifolds}}},
  doi          = {{10.12958/adm2365}},
  volume       = {{38}},
  year         = {{2025}},
}

@inbook{66297,
  abstract     = {{<p>The goal of this paper is to give an explicit computation of the curvature of the magnetic vector bundle of the multi-layer model of the fractional quantum Hall effect on a torus. We also obtain concrete formulae for the norms of the corresponding wave functions arising in such models.</p>}},
  author       = {{Burban, Igor and Klevtsov, Semyon}},
  booktitle    = {{Contemporary Mathematics}},
  isbn         = {{9781470481049}},
  issn         = {{0271-4132}},
  publisher    = {{American Mathematical Society}},
  title        = {{{Norms of wave functions for FQHE models on a torus}}},
  doi          = {{10.1090/conm/829/16544}},
  year         = {{2025}},
}

@article{66308,
  abstract     = {{<jats:title>Abstract</jats:title>
                  <jats:p>
                    A bimatroid is a matroid-like generalization of the collection of regular minors of a matrix. In this article, we use the theory of Lorentzian polynomials to study the logarithmic concavity of natural sequences associated with bimatroids. Bimatroids can be used to characterize morphisms of matroids and this observation (originally due to Kung) allows us to prove a weak version of logarithmic concavity of the number of bases of a morphism of matroids. This is weaker than the original result by Eur and Huh; it nevertheless provides us with a new perspective on Mason’s log-concavity conjecture for independent sets of matroids. We finally show that for realizable bimatroids, the regular minor polynomial is a volume polynomial. Applied to morphisms of matroids, this shows that the weak basis generating polynomial of a morphism is a volume polynomial; this confirms a conjecture of Eur–Huh for morphisms of nullity
                    <jats:inline-formula>
                      <jats:alternatives>
                        <jats:tex-math>$$\le 1$$</jats:tex-math>
                        <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                          <mml:mrow>
                            <mml:mo>≤</mml:mo>
                            <mml:mn>1</mml:mn>
                          </mml:mrow>
                        </mml:math>
                      </jats:alternatives>
                    </jats:inline-formula>
                    and gives an algebro-geometric explanation for Mason’s log-concavity conjecture in the realizable case.
                  </jats:p>}},
  author       = {{Röhrle, Felix and Ulirsch, Martin}},
  journal      = {{Annals of Combinatorics}},
  number       = {{2}},
  pages        = {{501--523}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Logarithmic concavity of bimatroids}}},
  doi          = {{10.1007/s00026-025-00780-z}},
  volume       = {{30}},
  year         = {{2025}},
}

@article{66315,
  abstract     = {{<jats:title>Abstract</jats:title>
               <jats:p>Motivated by the recent surge of interest in the geometry of hybrid spaces, we prove an Abel–Jacobi theorem for a metrized complex of Riemann surfaces, generalizing both the classical Abel–Jacobi theorem and its tropical analogue.</jats:p>}},
  author       = {{Hofmann, Maximilian C. E. and Ulirsch, Martin}},
  issn         = {{1615-7168}},
  journal      = {{Advances in Geometry}},
  number       = {{2}},
  pages        = {{263--278}},
  publisher    = {{Walter de Gruyter GmbH}},
  title        = {{{An Abel-Jacobi theorem for metrized complexes of Riemann surfaces}}},
  doi          = {{10.1515/advgeom-2025-0010}},
  volume       = {{25}},
  year         = {{2025}},
}

@inbook{66318,
  author       = {{Küronya, Alex and Souza, Pedro and Ulirsch, Martin}},
  booktitle    = {{EMS Series of Congress Reports}},
  isbn         = {{9783985470969}},
  issn         = {{2523-515X}},
  publisher    = {{EMS Press}},
  title        = {{{Tropicalization of toric prevarieties}}},
  doi          = {{10.4171/ECR/22/16}},
  year         = {{2025}},
}

@book{66427,
  author       = {{Beule, Felix}},
  isbn         = {{9783819103308}},
  publisher    = {{Shaker Verlag}},
  title        = {{{Methodenentwicklung zur Prognose der richtungsabhängigen Eigenschaftsänderungen von Klebverbindungen aufgrund von Relativverschiebungen während der Aushärtung}}},
  volume       = {{175}},
  year         = {{2025}},
}

@inbook{66445,
  author       = {{van der Vlag, Michiel and Yegenoglu, Alper and Jimenez-Romero, Cristian and Morrison, Abigail and Diaz, Sandra}},
  booktitle    = {{Lecture Notes in Computer Science}},
  isbn         = {{9783032045577}},
  issn         = {{0302-9743}},
  publisher    = {{Springer Nature Switzerland}},
  title        = {{{Complexity and Criticality in Neuro-Inspired Reservoirs}}},
  doi          = {{10.1007/978-3-032-04558-4_52}},
  year         = {{2025}},
}

@inproceedings{61051,
  author       = {{Herrmann, Janine}},
  booktitle    = {{Beiträge zum Mathematikunterricht 2024}},
  editor       = {{Ebers, Patrick and Rösken, Fabian  and Barzel, Bärbel and Büchter, Andreas and Schacht, Florian  and Scherer, Petra }},
  location     = {{Duisburg-Essen}},
  pages        = {{1666}},
  title        = {{{Ansprüche an eine Fortbildung zur analytischen Geometrie}}},
  doi          = {{http://dx.doi.org/10.17877/DE290R-25188}},
  year         = {{2025}},
}

@inbook{63728,
  author       = {{Skuratova, Angelina}},
  booktitle    = {{Video Game Ecologies and Culture}},
  isbn         = {{9783111379715}},
  publisher    = {{De Gruyter}},
  title        = {{{Disruptive Imaginations: Chronotopic Time Loops and Environmental Agency in Sky: Children of the Light}}},
  doi          = {{10.1515/9783111379715-009}},
  year         = {{2025}},
}

@article{60200,
  author       = {{Knickenberg, Margarita and Kullmann, Harry and Wüthrich, Sergej and Sahli Lozano, Caroline and Loreman, Tim and Sharma, Umesh and Avramidis, Elias and Subban, Pearl and Woodcock, Stuart}},
  journal      = {{Frontiers in Psychology}},
  title        = {{{Teachers’ collective efficacy with regard to inclusive practices—characteristics of a new scale and analyses from Canada, Germany and Switzerland}}},
  doi          = {{10.3389/fpsyg.2025.1530689}},
  volume       = {{16}},
  year         = {{2025}},
}

@inproceedings{66520,
  author       = {{Luchterhandt, Lars and Govindasamy, Vivek and Wang, Yutong and Scheytt, Christoph and Müller, Wolfgang and Dömer, Rainer}},
  booktitle    = {{2025 Forum on Specification &amp;amp; Design Languages (FDL)}},
  publisher    = {{IEEE}},
  title        = {{{A Quantitative Guide to Navigate Speed/Accuracy Tradeoffs in System Level Design of RISC-V Processor Grids}}},
  doi          = {{10.1109/fdl68117.2025.11165408}},
  year         = {{2025}},
}

@inproceedings{65897,
  author       = {{Breuing, Friederike and Daniel-Söltenfuß, Desiree and Kückmann, Marie-Ann}},
  location     = {{Bonn}},
  title        = {{{Trust the process?! Innovations- und Transferprozesse gestalten}}},
  year         = {{2025}},
}