Asymptotic analysis of random walks on ice and graphite

DOI10.1063/5.0051731zbMath1489.60072arXiv2109.08397OpenAlexW3204003306MaRDI QIDQ5163830

Bernard Bercu, Fabien Montégut

Publication date: 8 November 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.08397

zbMATH Keywords

multi-dimensional martingalesrandom walks on ice

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Sums of independent random variables; random walks (60G50) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

Cites Work

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• On the center of mass of the elephant random walk
• On the centre of mass of a random walk
• Random Walks in Multidimensional Spaces, Especially on Periodic Lattices
• Elements of the Random Walk
• Analysis of random walks on a hexagonal lattice

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