Symmetric Markov chains in \({\mathbb{Z}}^ 4:\) How fast can they move?

DOI10.1007/BF00340013zbMath0667.60070MaRDI QIDQ1117589

Edwin A. Perkins, Martin T. Barlow

Publication date: 1989

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

invariant measurereversible Markov chain

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50)

Related Items (11)

Diffusive estimates for random walks on stationary random graphs of polynomial growth ⋮ Which values of the volume growth and escape time exponent are possible for a graph? ⋮ Disorder, entropy and harmonic functions ⋮ Exceptional graphs for the random walk ⋮ Random walks on dynamical percolation: mixing times, mean squared displacement and hitting times ⋮ Escape rate of Markov chains on infinite graphs ⋮ A geometric approach to on-diagonal heat kernel lower bounds on groups. ⋮ Volume Growth and Escape Rate of Brownian Motion on a Cartan—Hadamard Manifold ⋮ Convolution powers of complex functions on ⋮ Escape rate of brownian motion on riemanian manifolds ⋮ Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds

Cites Work

• The diffusion limit for reversible jump processes on \(Z^ m\) with ergodic random bond conductivities
• Subdiffusive behavior of random walk on a random cluster
• On tail probabilities for martingales
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