Existence of a phase transition in harmonic activation and transport

DOI10.1214/23-ejp1004zbMath1530.60056arXiv2110.13893OpenAlexW3208616618MaRDI QIDQ6177565

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Publication date: 17 January 2024

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.13893

zbMATH Keywords

phase transitionMarkov chainharmonic measurerandom walk

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Discrete potential theory (31C20)

Cites Work

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• Random Walks in Multidimensional Spaces, Especially on Periodic Lattices
• Random Walk: A Modern Introduction
• Topics in the Constructive Theory of Countable Markov Chains
• Boundary-connectivity via graph theory
• Two-Dimensional Random Walk
• Laplacian growth, sandpiles, and scaling limits
• A Markov Chain Algorithm for Compression in Self-Organizing Particle Systems

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