On the mixing time and spectral gap for birth and death chains

Guan-Yu Chen, Laurent Saloff-Coste

研究成果: Article同行評審

摘要

For birth and death chains, we derive bounds on the spectral gap and mixing time in terms of birth and death rates. Together with the results
of Ding et al. in [15], this provides a criterion for the existence of a cutoff
in terms of the birth and death rates. A variety of illustrative examples are
treated.
原文American English
頁(從 - 到)293-321
頁數29
期刊ALEA-Latin American Journal of Probability and Mathematical Statistics
10
發行號1
出版狀態Published - 16 4月 2013

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