Escape Rate of Markov Chains on Infinite Graphs

Xueping Huang ()
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Xueping Huang: University of Bielefeld

Journal of Theoretical Probability, 2014, vol. 27, issue 2, 634-682

Abstract: Abstract We study the escape rate of continuous time symmetric Markov chains associated with weighted graphs. The upper rate functions are given in terms of volume growth of the weighted graphs. For a class of symmetric birth and death processes, we obtain sharp upper rate functions.

Keywords: Escape rate; Upper rate function; Markov chains; Weighted graphs; Birth and death process; Primary 60J27; Secondary 05C81 (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s10959-012-0456-x

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