Logarithmic Sobolev inequality and strong ergodicity for birth-death processes

Jian WANG,

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PDF(103 KB)
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,
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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.

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