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Markov chains, stochastic processes with discrete states and discrete time, are introduced. Various properties of Markov chains are illustrated and the role of barriers is discussed, including physical examples. Continuous-time processes are then introduced through the master equation.

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Discrete Stochastic Processes: Markov Chains

  • 章节

  • 发表日期：

    2026年

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  • Guido Boffetta,
  • Angelo Vulpiani

摘要

Markov chains, stochastic processes with discrete states and discrete time, are introduced. Various properties of Markov chains are illustrated and the role of barriers is discussed, including physical examples. Continuous-time processes are then introduced through the master equation.