Logarithmic Sobolev inequalities for two-sided birth-death processes |
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| Authors: | Qingshan Yang Hong Liu Fuqing Gao |
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| Institution: | [1]School of Mathematics and Statistics, Wuhan University,Wuhan 430072, Hubei, China [2]Academy of Mathematics and Systems Science, ChineseAcademy of Sciences, Beijing 100080, China |
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| Abstract: | In this paper, we study the logarithmic Sobolev inequalities for two-sided birth-death processes. An estimate of the logarithmic
Sobolev constant α for a two-sided birth-death process is obtained by the Hardy-type inequality and a criteria for α is also presented.
Biography: YANG Qingshan (1981–), male, Ph.D. candidate, research direction: large deviation principle. |
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| Keywords: | logarithmic Sobolev inequality(LSI) two-sided birth-death process Hardy-type inequality Orlicz norm |
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