Stationary coalescing walks on the lattice II: entropy

DOI10.1088/1361-6544/AC1162zbMath1482.37008arXiv1909.04816OpenAlexW3207563993MaRDI QIDQ5160604

Arjun Krishnan, Jon Chaika

Publication date: 29 October 2021

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.04816

zbMATH Keywords

entropysimple exclusionbi-infinite trajectoriesstationary coalescing walks

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Processes in random environments (60K37)

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• Stationary measures for an exclusion process on one-dimensional lattices with infinitely many hopping sites
• Infinite clusters in percolation models
• Geodesics in two-dimensional first-passage percolation
• Stationary coalescing walks on the lattice
• Busemann functions and infinite geodesics in two-dimensional first-passage percolation
• Factors of Bernoulli shifts are Bernoulli shifts
• Probability

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