Large deviations of a long-time average in the Ehrenfest urn model

DOI10.1088/1742-5468/aabbc7zbMath1459.82140arXiv1712.04929OpenAlexW2775216290MaRDI QIDQ4964587

Baruch Meerson, Pini Zilber

Publication date: 2 March 2021

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.04929

Mathematics Subject Classification ID

Large deviations (60F10) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (4)

A New Method for Computing the Expected Hitting Time between Arbitrary Different Configurations of the Multiple–Urn Ehrenfest Model ⋮ Large deviation of long time average for a stochastic process: an alternative method ⋮ Hydrodynamics of the generalized \(N\)-urn Ehrenfest model ⋮ On the distribution of the hitting time for the \(N\)-urn Ehrenfest model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Large deviations for a general class of random vectors
• Markov chain models - rarity and exponentiality
• Nonequilibrium statistical mechanics of the zero-range process and related models
• The large deviation function for entropy production: the optimal trajectory and the role of fluctuations
• Asymptotic evaluation of certain markov process expectations for large time. IV
• On an urn problem of Paul and Tatiana Ehrenfest
• WKB theory of large deviations in stochastic populations
• Ehrenfest urn models
• Random Walk and the Theory of Brownian Motion
• On the Approach to Statistical Equilibrium
• Alternative Solution to the Ehrenfest Problem

This page was built for publication: Large deviations of a long-time average in the Ehrenfest urn model