Invariant measures for the box-ball system based on stationary Markov chains and periodic Gibbs measures

DOI10.1063/1.5095622zbMath1426.37013arXiv1905.00186OpenAlexW3103450878MaRDI QIDQ5193192

Makiko Sasada, David A. Croydon

Publication date: 9 September 2019

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

Full work available at URL: https://arxiv.org/abs/1905.00186

zbMATH Keywords

soliton interactionPitman's transformationultradiscrete Toda lattice

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Dynamical aspects of cellular automata (37B15) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (7)

Discrete integrable systems and Pitman's transformation ⋮ Current correlations, Drude weights and large deviations in a box–ball system ⋮ Generalized hydrodynamic limit for the box-ball system ⋮ Soliton Decomposition of the Box-Ball System ⋮ Dynamics and invariant measures of multi-stochastic sine-Gordon lattices with random viscosity and nonlinear noise ⋮ Generalized hydrodynamics in box-ball system ⋮ Dynamics of the Box-Ball System with Random Initial Conditions via Pitman’s Transformation

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