Frontiers of Mathematics in China >

2009 , Vol. 4 >Issue 4: 721 - 726

DOI: https://doi.org/10.1007/s11464-009-0036-2

Research articles

Logarithmic Sobolev inequality and strong ergodicity for birth-death processes

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  • School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, China;

Published date: 05 Dec 2009

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Abstract

We give two examples to show that the strong ergodicity and the logarithmic Sobolev inequality are incomparable for ergodic birth-death processes.

Key words： Strong ergodicity; logarithmic Sobolev inequality; birth death processes

Cite this article

Jian WANG, . Logarithmic Sobolev inequality and strong ergodicity for birth-death processes[J]. Frontiers of Mathematics in China, 2009 , 4(4) : 721 -726 . DOI: 10.1007/s11464-009-0036-2

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