Voter model in a random environment in \(\mathbb{Z}^d\)

DOI10.1007/S11464-012-0228-ZzbMath1255.60172OpenAlexW2057109681MaRDI QIDQ692649

Dayue Chen, Zhichao Shan

Publication date: 6 December 2012

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-012-0228-z

zbMATH Keywords

random walksdualityrandom environmentvoter model

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Processes in random environments (60K37)

Cites Work

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• Some sufficient conditions for infinite collisions of simple random walks on a wedge comb
• Two random walks on the open cluster of \(\mathbb Z^{2}\) meet infinitely often
• The probability of survival for the biased voter model in a random environment
• Parabolic Harnack inequality and estimates of Markov chains on graphs
• Recurrent graphs where two independent random walks collide finitely often
• Collisions of random walks
• Invariance principle for the random conductance model with unbounded conductances
• On estimating the derivatives of symmetric diffusions in stationary random environment, with applications to \(\nabla\varphi\) interface model

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