Volume growth, spectrum and stochastic completeness of infinite graphs
type: Item
instance of: scholarly article
title: Volume growth, spectrum and stochastic completeness of infinite graphs
zbMATH Open document ID: 1269.05051
author: Matthias Keller
author: Radosław K. Wojciechowski
author: Daniel Lenz
published in: Mathematische Zeitschrift
publication date: 2013-08-09T00:00:00Z
full work available at URL: https://arxiv.org/abs/1105.0395
Mathematics Subject Classification ID: 05C22
Mathematics Subject Classification ID: 05C63
Mathematics Subject Classification ID: 05C50
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 58J35
zbMATH DE Number: 6197146
zbMATH Keywords: locally finite weighted graphs
MaRDI profile type: Publication
OpenAlex ID: W2041676532
Wikidata QID: Q124988651
arXiv ID: 1105.0395
cites work: Stochastic completeness and volume growth
cites work: Ollivier-Ricci curvature and the spectrum of the normalized graph Laplace operator
cites work: Curvature and geometry of tessellating plane graphs
cites work: Geodesics in non-positively curved plane tessellations
cites work: Espaces de Dirichlet. I: Le cas élémentaire
cites work: The Spectral Radius of infinite Graphs
cites work: Mass transportation and rough curvature bounds for discrete spaces
cites work: A relation between growth and the spectrum of the Laplacian
cites work: The spectral geometry of \(k\)-regular groups
cites work: Large time behavior of the heat kernel: The parabolic \(\lambda\)-potential alternative
cites work: A lower bound for the heat kernel
cites work: Eigenvalue comparison theorems and its geometric applications
cites work: Q3040199
cites work: Difference Equations, Isoperimetric Inequality and Transience of Certain Random Walks
cites work: Q3593689
cites work: Unbounded Laplacians on Graphs: Basic Spectral Properties and the Heat Equation
cites work: Q5484090
cites work: On boundaries and lateral conditions for the Kolmogorov differential equations
cites work: Bochner's method for cell complexes and combinatorial Ricci curvature
cites work: Growth and the spectrum of the Laplacian of an infinite graph
cites work: The Laplacian on rapidly branching trees
cites work: Dirichlet forms and symmetric Markov processes
cites work: Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
cites work: On stochastic completeness of jump processes
cites work: Generalized Solutions and Spectrum for Dirichlet Forms on Graphs
cites work: Laplacians on infinite graphs: Dirichlet and Neumann boundary conditions
cites work: Discreteness of the spectrum of the Laplacian and stochastic incompleteness
cites work: Boundary area growth and the spectrum of discrete Laplacian
cites work: Combinatorial curvature for planar graphs
cites work: Stochastic incompleteness for graphs and weak Omori-Yau maximum principle
cites work: Curvature, geodesics and the Brownian motion on a Riemannian manifold II—Explosion properties
cites work: Ollivier's Ricci curvature, local clustering and curvature-dimension inequalities on graphs
cites work: The essential spectrum of the Laplacian on rapidly branching tessellations
cites work: Dirichlet forms and stochastic completeness of graphs and subgraphs
cites work: Note on basic features of large time behaviour of heat kernels
cites work: Cheeger constants, growth and spectrum of locally tessellating planar graphs
cites work: Large time behavior of the heat equation on complete manifolds with non- negative Ricci curvature
cites work: Ricci curvature and eigenvalue estimate on locally finite graphs
cites work: Ricci curvature for metric-measure spaces via optimal transport
cites work: Isoperimetric inequalities, growth, and the spectrum of graphs
cites work: Ricci curvature of Markov chains on metric spaces
cites work: Large time behavior of the heat kernel.
cites work: Q4185363
cites work: Denumerable Markov processes and the associated contraction semigroups on l
cites work: On the geometry of metric measure spaces. I
cites work: On the geometry of metric measure spaces. II
cites work: Heat kernel and Green kernel comparison theorems for infinite graphs
cites work: Eigenvalue comparison theorems of the discrete Laplacians for a graph
cites work: The Spectrum of an Infinite Graph
cites work: Analysis of the physical Laplacian and the heat flow on a locally finite graph
cites work: Heat kernel and essential spectrum of infinite graphs
cites work: Stochastically Incomplete Manifolds and Graphs
cites work: A generalized Følner condition and the norms of random walk operators on groups
DOI: 10.1007/S00209-012-1101-1
description: scientific article