Dynamics of the Box-Ball System with Random Initial Conditions via Pitman’s Transformation

DOI10.1090/memo/1398OpenAlexW2805388960MaRDI QIDQ5877460

Satoshi Tsujimoto, Tsuyoshi Kato, Makiko Sasada, David A. Croydon

Publication date: 13 February 2023

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.02147

zbMATH Keywords

solitonssimple random walktagged particlebox-ball systemPitman's transformationintegrated current

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Brownian motion (60J65) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Equilibrium statistical mechanics (82B99) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Dynamical aspects of cellular automata (37B15) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)

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