Denumerable Markov chains : generating functions, boundary theory, random walks on trees

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書誌詳細
第一著者: Woess, Wolfgang, 1954-
フォーマット: Livre papier
言語:Anglais
出版事項: Zürich : European Mathematical Society C 2009.
シリーズ:EMS textbooks in mathematics
主題:
注記: Ce livre est basé sur les notes du cours italien: " Catene di Markov e teoria del potenziale nel discreto de 1996 [ W1]". Publication autorisée par : Unione Matematica Italiana à Bologne
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Denumerable Markov chains, generating functions, boundary theory, random walks on trees, Wolfgang Woess, Zÿurich, European Mathematical Society, 2009, 978-3-03719-571-0
目次:
  • Preliminaries and basic facts
  • Irreducible classes
  • Recurrence and transience, convergence, and the ergodic theorem
  • Reversible Markov chains
  • Models of population evolution
  • Elements of the potential theory of transient Markov chains
  • The Martin boundary of transient Markov chains
  • Minimal harmonic functions on Euclidean lattices
  • Nearest neighbour random walks on trees
  • Solutions of all exercises