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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
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
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
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https://www.mathnet.ru/eng/mzm77https://doi.org/10.4213/mzm77 https://www.mathnet.ru/eng/mzm/v75/i6/p927
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Abstract page: | 345 | Full-text PDF : | 197 | References: | 56 | First page: | 1 |
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