Frontiers of Mathematics in China >

2009 , Vol. 4 >Issue 2: 335 - 347

DOI: https://doi.org/10.1007/s11464-009-0015-7

RESEARCH ARTICLE

Spectral gap for jump processes by decomposition method

  • Yonghua MAO ,
  • Lianghui XIA
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  • School of Mathematical Sciences; Key Laboratory of Mathematics and Complex Systems, Ministry of Education, China, Beijing Normal University, Beijing 100875, China

Received date: 10 Oct 2008

Accepted date: 29 Dec 2008

Published date: 05 Jun 2009

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

By using a decomposition method, we give a criterion for the spectral gap of the reversible general jump process. This criterion enables us to obtain the lower bound for the spectral gap via Lyapunov drift condition. Some examples are presented to illustrate the results.

Key words： Jump process; Dirichlet form; decomposition method; spectral gap; Lyapunov condition

Cite this article

Yonghua MAO , Lianghui XIA . Spectral gap for jump processes by decomposition method[J]. Frontiers of Mathematics in China, 2009 , 4(2) : 335 -347 . DOI: 10.1007/s11464-009-0015-7

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