Zobrazeno 1 - 10
of 121
pro vyhledávání: '"Münch Florentin"'
Autor:
Li, Ruowei, Münch, Florentin
In this paper, we prove the convergence and uniqueness of a general discrete-time nonlinear Markov chain with specific conditions. The results have important applications in discrete differential geometry. First, on a general finite weighted graph, w
Externí odkaz:
http://arxiv.org/abs/2407.00314
In this paper, we introduce Cheeger type constants via isocapacitary constants introduced by Maz'ya to estimate first Dirichlet, Neumann and Steklov eigenvalues on a finite subgraph of a graph. Moreover, we estimate the bottom of the spectrum of the
Externí odkaz:
http://arxiv.org/abs/2406.12583
Publikováno v:
Analysis and Geometry in Metric Spaces, Vol 7, Iss 1, Pp 1-14 (2019)
We prove distance bounds for graphs possessing positive Bakry-Émery curvature apart from an exceptional set, where the curvature is allowed to be non-positive. If the set of non-positively curved vertices is finite, then the graph admits an explicit
Externí odkaz:
https://doaj.org/article/f2b81039cb06465588fb7d16f223f203
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
The characterization of complex networks with tools originating in geometry, for instance through the statistics of so-called Ricci curvatures, is a well established tool of network science. There exist various types of such Ricci curvatures, capturi
Externí odkaz:
http://arxiv.org/abs/2402.06616
We study Markov chains with non-negative sectional curvature on finite metric spaces. Neither reversibility, nor the restriction to a particular combinatorial distance are imposed. In this level of generality, we prove that a 1-step contraction in th
Externí odkaz:
http://arxiv.org/abs/2401.17148
Based on earlier work by Carlen-Maas and the second- and third-named author, we introduce the notion of intertwining curvature lower bounds for graphs and quantum Markov semigroups. This curvature notion is stronger than both Bakry-\'Emery and entrop
Externí odkaz:
http://arxiv.org/abs/2401.05179
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