Monotonicity for continuous-time random walks

DOI10.1214/22-aop1615zbMath1515.05165arXiv2109.10386OpenAlexW3199974805MaRDI QIDQ6045520

Graham White, Russell Lyons

Publication date: 31 May 2023

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.10386

zbMATH Keywords

Coxeter groupsCayley graphsmixingspeedmajorization

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Random walks on graphs (05C81)

Cites Work

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• A counterexample to monotonicity of relative mass in random walks
• Comparison inequalities and fastest-mixing Markov chains
• Can extra updates delay mixing?
• Majorization for partially ordered sets
• A monotonicity result for the range of a perturbed random walk
• Coincidence properties of birth and death processes
• On symmetric random walks with random conductances on \(\mathbb Z^d\)
• On hitting times and fastest strong stationary times for skip-free and more general chains
• On times to quasi-stationarity for birth and death processes
• The passage time distribution for a birth-and-death chain: Strong stationary duality gives a first stochastic proof
• Conjugacy of 2-spherical subgroups of Coxeter groups and parallel walls.
• The rate of escape for anisotropic random walks in a tree
• A finiteness property and an automatic structure for Coxeter groups
• Return probabilities of a simple random walk on percolation clusters
• An inequality for the heat kernel on an abelian Cayley graph
• Processes on unimodular random networks
• Probability on Trees and Networks
• The ergodic theory of hyperbolic groups
• On absorption times and Dirichlet eigenvalues
• The Differential Equations of Birth-and-Death Processes, and the Stieltjes Moment Problem
• Powers of Coxeter elements in infinite groups are reduced
• Analyticity of the entropy and the escape rate of random walks in hyperbolic groups
• Monotonicity of average return probabilities for random walks in random environments
• Comparing Graphs of Different Sizes
• The Poisson formula for groups with hyperbolic properties
• On the stability of the behavior of random walks on groups