Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (3): 785-795.

• Articles • Previous Articles     Next Articles

Lyapunov Drift Conditions for General Symmetric Jump Processes

 WANG Jian   

  1. School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007
  • Received:2009-06-11 Revised:2010-08-04 Online:2011-06-25 Published:2011-06-25
  • Supported by:

    福建省自然科学基金(2010J05002)和福建省高校杰出青年科研人才培育计划(JA10058)资助

Abstract:

This paper studies Lyapunov drift conditions for general symmetric jump processes. The author aims to derive Poincar´e, super-Poincar´e and weak-Poincar´e inequalities directly through Lyapunov functions controls. Birth death processes and symmetric L´evy type processes are presented to illustrate the power of the results.

Key words: Lyapunov drift conditions, Functional inequalities, Ergodic, Jump processes

CLC Number: 

  • 60J25
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