MAO Yonghua, . Logarithmic Sobolev Inequalities for Birth-Death Process and Diffusion Process on the Line[J]. Chinese Journal of Applied Probability and Statistics, 2002, 18(1): 94-100.
Citation: MAO Yonghua, . Logarithmic Sobolev Inequalities for Birth-Death Process and Diffusion Process on the Line[J]. Chinese Journal of Applied Probability and Statistics, 2002, 18(1): 94-100.
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Logarithmic Sobolev Inequalities for Birth-Death Process and Diffusion Process on the Line

  • Department of Mathematics, Beijing Normal University, Beijing, 100875

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Research supported in part by RFDP (No. 96002704)

NSFC (No. 19771008)

Fok Ying-Tung Youth Foundation.

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  • Received Date: November 26, 2000
  • Revised Date: December 24, 2000
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    • Abstract
  • In this paper we give, by using Hardy-type inequalities, characterizations of the logarithmic Sobolev inequalities for birth——death process and diffusion process on the line.
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