Stochastic completeness of graphs: bounded Laplacians, intrinsic metrics, volume growth and curvature
DOI10.1007/s00041-021-09821-6zbMath1462.05167arXiv2010.02009OpenAlexW3151187501MaRDI QIDQ2663271
Publication date: 16 April 2021
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.02009
Combinatorial probability (60C05) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Probabilistic methods in extremal combinatorics, including polynomial methods (combinatorial Nullstellensatz, etc.) (05D40) Signed and weighted graphs (05C22) Infinite graphs (05C63)
Related Items (max. 100)
Cites Work
- A Feynman-Kac-Itô formula for magnetic Schrödinger operators on graphs
- Volume growth, spectrum and stochastic completeness of infinite graphs
- Gaussian upper bounds for heat kernels of continuous time simple random walks
- On uniqueness class for a heat equation on graphs
- On stochastic completeness of jump processes
- Stochastic incompleteness for graphs and weak Omori-Yau maximum principle
- Conservation property of symmetric jump processes
- Stochastic completeness for graphs with curvature dimension conditions
- Essential spectrum and Weyl asymptotics for discrete Laplacians
- Ricci curvature of graphs
- The Feller property on Riemannian manifolds
- Denumerable Markov processes and the associated contraction semigroups on l
- On boundaries and lateral conditions for the Kolmogorov differential equations
- A generalized conservation property for the heat semigroup on weighted manifolds
- \(\lambda_ 1\), isoperimetric inequalities for graphs, and superconcentrators
- Heat semigroup on a complete Riemannian manifold
- Analysis of the physical Laplacian and the heat flow on a locally finite graph
- Ricci curvature of Markov chains on metric spaces
- Analysis of the Laplacian on a complete Riemannian manifold
- On the heat kernel of a complete Riemannian manifold
- Heat kernel bounds, conservation of probability and the Feller property
- Dirichlet forms and symmetric Markov processes
- Bakry-Émery curvature and diameter bounds on graphs
- On the conservativeness and the recurrence of symmetric jump-diffusions
- Laplacians on infinite graphs: Dirichlet and Neumann boundary conditions
- Cheeger inequalities for unbounded graph Laplacians
- Uniqueness of form extensions and domination of semigroups
- Escape rate of Markov chains on infinite graphs
- Hardy inequality and asymptotic eigenvalue distribution for discrete Laplacians
- Intrinsic metrics for non-local symmetric Dirichlet forms and applications to spectral theory
- Ricci curvature and eigenvalue estimate on locally finite graphs
- A new discrete Hopf-Rinow theorem
- Ollivier Ricci curvature for general graph Laplacians: heat equation, Laplacian comparison, non-explosion and diameter bounds
- Graphs of finite measure
- Upper escape rate of Markov chains on weighted graphs
- A note on the volume growth criterion for stochastic completeness of weighted graphs
- A note on self-adjoint extensions of the Laplacian on weighted graphs
- Ricci curvature of metric spaces
- Isometric immersions of Riemannian manifolds
- Essential self-adjointness of powers of generators of hyperbolic equations
- On a martingale method for symmetric diffusion processes and its applications
- Intrinsic Metrics on Graphs: A Survey
- On the equivalence of stochastic completeness and Liouville and Khas’minskii conditions in linear and nonlinear settings
- Dirichlet forms and stochastic completeness of graphs and subgraphs
- The Feller property for graphs
- Global properties of Dirichlet forms on discrete spaces
- The conservation property of the heat equation on riemannian manifolds
- Unbounded Laplacians on Graphs: Basic Spectral Properties and the Heat Equation
- Curvature, geodesics and the Brownian motion on a Riemannian manifold II—Explosion properties
- L 1 Properties of Second order Elliptic Operators
- Harmonic functions on complete riemannian manifolds
- Behavior of diffusion semi-groups at infinity
- Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
- Analysis on local Dirichlet spaces. I. Recurrence, conservativeness and Lp-Liouville properties.
- Ollivier--Ricci Idleness Functions of Graphs
- Difference Equations, Isoperimetric Inequality and Transience of Certain Random Walks
- A remark on the maximum principle and stochastic completeness
- Analysis and Geometry of Markov Diffusion Operators
- On the uniqueness class, stochastic completeness and volume growth for graphs
- A survey on unbounded Laplacians and intrinsic metrics on graphs
- Stochastically Incomplete Manifolds and Graphs
- Generalized Solutions and Spectrum for Dirichlet Forms on Graphs
- Heat kernel and essential spectrum of infinite graphs
- Volume growth and stochastic completeness of graphs
- Diffusion Processes in One Dimension
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Stochastic completeness of graphs: bounded Laplacians, intrinsic metrics, volume growth and curvature