Zobrazeno 1 - 10
of 2 092
pro vyhledávání: '"Peyerimhoff, A."'
We consider the magnetic Steklov eigenvalue problem on compact Riemannian manifolds with boundary for generic magnetic potentials and establish various results concerning the spectrum. We provide equivalent characterizations of magnetic Steklov opera
Externí odkaz:
http://arxiv.org/abs/2410.07462
We present a relation between volumes of certain lower dimensional simplices associated to a full-dimensional primal and polar dual polytope in R^k. We then discuss an application of this relation to a geometric construction of a Colin de Verdiere ma
Externí odkaz:
http://arxiv.org/abs/2410.02494
The $k$-CombDMR problem is that of determining whether an $n \times n$ distance matrix can be realised by $n$ vertices in some undirected graph with $n + k$ vertices. This problem has a simple solution in the case $k=0$. In this paper we show that th
Externí odkaz:
http://arxiv.org/abs/2406.14729
Autor:
Cushing, David, Kamtue, Supanat, Law, Erin, Liu, Shiping, Münch, Florentin, Peyerimhoff, Norbert
In this note, we provide Steinerberger curvature formulas for block graphs, discuss curvature relations between two graphs and the graph obtained by connecting them via a bridge, and show that self-centered Bonnet-Myers sharp graphs are precisely tho
Externí odkaz:
http://arxiv.org/abs/2404.17860
In this paper we consider global $\theta$-curvatures of finite Markov chains with associated means $\theta$ in the spirit of the entropic curvature (based on the logarithmic mean) by Erbar-Maas and Mielke. As in the case of Bakry-\'Emery curvature, w
Externí odkaz:
http://arxiv.org/abs/2404.04581
In this paper, we propose a generalization of Bakry-\'Emery's calculus which allows us to formulate both Bakry-\'Emery and entropic curvature simultaneously. This formulation represents both curvatures as an integral of the Bochner formula against so
Externí odkaz:
http://arxiv.org/abs/2312.09686
Autor:
Cushing, David, Kamtue, Supanat, Kangaslampi, Riikka, Liu, Shiping, Münch, Florentin, Peyerimhoff, Norbert
In this article we study two discrete curvature notions, Bakry-\'Emery curvature and Ollivier Ricci curvature, on Cayley graphs. We introduce Right Angled Artin-Coxeter Hybrids (RAACHs) generalizing Right Angled Artin and Coxeter groups (RAAGs and RA
Externí odkaz:
http://arxiv.org/abs/2310.15953
Autor:
Fischer, Florian, Peyerimhoff, Norbert
We show various sharp Hardy-type inequalities for the linear and quasi-linear Laplacian on non-compact harmonic manifolds with a particular focus on the case of Damek-Ricci spaces. Our methods make use of the optimality theory developed by Devyver/Fr
Externí odkaz:
http://arxiv.org/abs/2305.01288
Autor:
Cushing, David, Kamtue, Supanat, Liu, Shiping, Münch, Florentin, Peyerimhoff, Norbert, Snodgrass, Ben
In this second part of a sequence of two papers, we discuss the implementation of a curvature flow on weighted graphs based on the Bakry-\'Emery calculus. This flow can be adapted to preserve the Markovian property and its limits as time goes to infi
Externí odkaz:
http://arxiv.org/abs/2212.12401
In this paper we introduce the magnetic Hodge Laplacian, which is a generalization of the magnetic Laplacian on functions to differential forms. We consider various spectral results, which are known for the magnetic Laplacian on functions or for the
Externí odkaz:
http://arxiv.org/abs/2211.08019