Recurrence of random walk traces
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Publication:2371953
DOI10.1214/009117906000000935zbMath1118.60059arXivmath/0603060OpenAlexW3102903234MaRDI QIDQ2371953
Ori Gurel-Gurevich, Itai Benjamini, Russell Lyons
Publication date: 9 July 2007
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0603060
Geometric probability and stochastic geometry (60D05) Discrete-time Markov processes on general state spaces (60J05)
Related Items (13)
Variational formulas for the exit time of hunt processes generated by semi-Dirichlet forms ⋮ Scaling limits of stochastic processes associated with resistance forms ⋮ Recurrence of Markov chain traces ⋮ Collisions of random walks ⋮ Most transient random walks have infinitely many cut times ⋮ Asymptotic entropy of the ranges of random walks on discrete groups ⋮ Heat kernel for random walk trace on \(\mathbb Z^{3}\) and \(\mathbb Z^{4}\) ⋮ On the trace of branching random walks ⋮ Non-intersection of transient branching random walks ⋮ A Dirichlet principle for non reversible Markov chains and some recurrence theorems ⋮ Growth exponent for loop-erased random walk in three dimensions ⋮ Cutpoints and resistance of random walk paths ⋮ Enlargement of subgraphs of infinite graphs by Bernoulli percolation
Cites Work
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- Tree-indexed random walks on groups and first passage percolation
- Cut times for simple random walk
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- Crossing estimates and convergence of Dirichlet functions along random walk and diffusion paths
- Recurrence of distributional limits of finite planar graphs
- Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
- Cutpoints and Exchangeable Events for Random Walks
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