Gibbs state

id: gibbs-state-198-7007785
title: Gibbs state
text: In probability theory and statistical mechanics, a Gibbs state is an equilibrium probability distribution which remains invariant under future evolution of the system. For example, a stationary or steady-state distribution of a Markov chain, such as that achieved by running a Markov chain Monte Carlo iteration for a sufficiently long time, is a Gibbs state. Precisely, suppose L is a generator of evolutions for an initial state ρ 0 , so that the state at any later time is given by ρ = e L t [ ρ 0
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original url: https://en.wikipedia.org/wiki/Gibbs_state
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date modified: 2024-03-13T03:50:54Z
main entity: {"identifier":"Q5558987","url":"https://www.wikidata.org/entity/Q5558987"}
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