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Metastable Markov chains

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arxiv 1807.04144 v1 pith:KNQF7HPW submitted 2018-07-11 math.PR cond-mat.stat-mech

classification math.PRcond-mat.stat-mech
keywords chainsmarkovmetastablebehaviorcharacterizationcontinuous-timederivedmartingale
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We review recent results on the metastable behavior of continuous-time Markov chains derived through the characterization of Markov chains as unique solutions of martingale problems.

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Cited by 1 Pith paper

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  1. Metastable Dynamics of Chain-of-Thought Reasoning: Provable Benefits of Search, RL and Distillation

    cs.AI 2025-02 conditional novelty 7.0 of 10

    In a metastable Markov model of reasoning, search and RL improve hitting times by boosting rare hard edges, and distilling clusters into a meta-chain preserves escape dynamics.

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