Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Florentin Münch"'
Autor:
David Cushing, Supanat Kamtue, Shiping Liu, Florentin Münch, Norbert Peyerimhoff, Ben Snodgrass
Publikováno v:
Axioms, Vol 12, Iss 6, p 577 (2023)
In this paper, we discuss the implementation of a curvature flow on weighted graphs based on the Bakry–Émery calculus. This flow can be adapted to preserve the Markovian property and its limits as time goes to infinity turn out to be curvature sha
Externí odkaz:
https://doaj.org/article/6554c1fefb7b42578ab1ab3d35348442
Autor:
Bobo Hua, Florentin Münch
Publikováno v:
Axioms, Vol 12, Iss 5, p 428 (2023)
In this paper, we study curvature dimension conditions on birth-death processes which correspond to linear graphs, i.e., weighted graphs supported on the infinite line or the half line. We give a combinatorial characterization of Bakry and Émery’s
Externí odkaz:
https://doaj.org/article/1a503da87db8453aaebf0c952c8e3da9
Autor:
Florentin Münch, Justin Salez
Publikováno v:
Journal de l’École polytechnique — Mathématiques. 10:575-590
Autor:
Snodgrass, David Cushing, Supanat Kamtue, Shiping Liu, Florentin Münch, Norbert Peyerimhoff, Ben
Publikováno v:
Axioms; Volume 12; Issue 6; Pages: 577
In this paper, we discuss the implementation of a curvature flow on weighted graphs based on the Bakry–Émery calculus. This flow can be adapted to preserve the Markovian property and its limits as time goes to infinity turn out to be curvature sha
Publikováno v:
Communications in Mathematics and Statistics, 10(3). Springer
We offer a new method for proving that the maximal eigenvalue of the normalized graph Laplacian of a graph with $n$ vertices is at least $\frac{n+1}{n-1}$ provided the graph is not complete and that equality is attained if and only if the complement
Publikováno v:
Communication in analysis and geometry, 2021, Vol.29(5), pp.1127-1156 [Peer Reviewed Journal]
In this paper, we present a Lichnerowicz type estimate and (higher order) Buser type estimates for the magnetic Laplacian on a closed Riemannian manifold with a magnetic potential. These results relate eigenvalues, magnetic fields, Ricci curvature, a
Publikováno v:
Communications in Analysis and Geometry. 29:1449-1473
Autor:
Florentin Münch, Christian Rose
Publikováno v:
Journal de Mathématiques Pures et Appliquées. 143:334-344
We investigate analytic and geometric implications of non-constant Ricci curvature bounds. We prove a Lichnerowicz eigenvalue estimate and finiteness of the fundamental group assuming that L + 2 Ric is a positive operator where L is the graph Laplaci
Publikováno v:
Annales Henri Poincaré. 21:1489-1516
We study magnetic Schrödinger operators on graphs. We extend the notion of sparseness of graphs by including a magnetic quantity called the frustration index. This notion of magnetic-sparseness turns out to be equivalent to the fact that the form do
Publikováno v:
Mathematische Annalen, 2022 [Peer Reviewed Journal]
We give rigidity results for the discrete Bonnet–Myers diameter bound and the Lichnerowicz eigenvalue estimate. Both inequalities are sharp if and only if the underlying graph is a hypercube. The proofs use well-known semigroup methods as well as n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a9ede96868e502cebe16f191601dce7
http://dro.dur.ac.uk/37849/
http://dro.dur.ac.uk/37849/