Titlebook: Markov Chains; Gibbs Fields, Monte Pierre Brémaud Textbook 2020Latest edition Springer Nature Switzerland AG 2020 60-XX, 68-XX, 82-XX, 90-

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Non-homogeneous Markov Chains,E is finite and the chain is ergodic, Dobrushin’s ergodic coefficient (Subsection 4.3.4) is the basic tool to obtain a necessary and sufficient condition of weak ergodicity (yet to be defined) of non-homogeneous Markov chains.

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Discrete-Time Renewal Theory,enewal theorem by the probabilists. In this chapter however the renewal theorem will not be the essential step in the proof of the convergence theorem but, on the contrary, it will be obtained as a corollary of the latter.

Cytology

monogamy

mendacity

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Pierre BrémaudThoroughly revises and updates the 1st edition, making it a completely self-contained textbook on Markov chains and stochastic processes.Includes material for basic and advanced courses on Markov Chai

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978-3-030-45984-0Springer Nature Switzerland AG 2020

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Markov Chains978-3-030-45982-6Series ISSN 0939-2475 Series E-ISSN 2196-9949