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Matematicheskie Zametki, 2004, Volume 75, Issue 6, Pages 927–940
DOI: https://doi.org/10.4213/mzm77
(Mi mzm77)
 

This article is cited in 4 scientific papers (total in 5 papers)

On the Lin Condition in Strong Ratio Limit Theorems

M. G. Shur

Moscow State Institute of Electronics and Mathematics
Full-text PDF (238 kB) Citations (5)
References:
Abstract: A new version of strong limit theorems for Lin ratios (1976) free of former restrictions such as the absolute continuity of the measures in question or the conservativeness of the corresponding operators is presented. As the most original statement of the paper (Theorem 5) states, one of the two basic Lin conditions holds automatically for a wide class of Markov chains and, in particular, for many random walks on groups. The proof is based on a substantial development of the author"s results (1980) concerning the behavior of multistep transition probabilities.
Received: 30.04.2003
English version:
Mathematical Notes, 2004, Volume 75, Issue 6, Pages 864–876
DOI: https://doi.org/10.1023/B:MATN.0000030995.23171.d6
Bibliographic databases:
UDC: 519.217.2
Language: Russian
Citation: M. G. Shur, “On the Lin Condition in Strong Ratio Limit Theorems”, Mat. Zametki, 75:6 (2004), 927–940; Math. Notes, 75:6 (2004), 864–876
Citation in format AMSBIB
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\paper On the Lin Condition in Strong Ratio Limit Theorems
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\pages 927--940
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\transl
\jour Math. Notes
\yr 2004
\vol 75
\issue 6
\pages 864--876
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Linking options:
  • https://www.mathnet.ru/eng/mzm77
  • https://doi.org/10.4213/mzm77
  • https://www.mathnet.ru/eng/mzm/v75/i6/p927
    Erratum
    This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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    Full-text PDF :197
    References:56
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