Logarithmic Sobolev inequality and strong ergodicity for birth-death processes

Jian Wang

doi:10.1007/s11464-009-0036-2

Front. Math. China ›› 2009, Vol. 4 ›› Issue (4) : 721 -726. DOI: 10.1007/s11464-009-0036-2

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Logarithmic Sobolev inequality and strong ergodicity for birth-death processes

Jian Wang ¹^,^a

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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.

Keywords

Strong ergodicity / logarithmic Sobolev inequality / birth death processes

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Jian Wang. Logarithmic Sobolev inequality and strong ergodicity for birth-death processes. Front. Math. China, 2009, 4(4): 721-726 DOI:10.1007/s11464-009-0036-2

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