The Principal Eigenvalue for Jump Processes

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 2000 English Publisher:Springer Science and Business Media LLCJournal:Acta Mathematica Sinica, English Series, volume 16, pages 361-368 (issn: 1000-9574,

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Authors: Chen, Mufa;

doi: 10.1007/pl00011548 , 10.1007/s101140000067

The Principal Eigenvalue for Jump Processes

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Abstract

Summary: A variational formula for the lower bound of the principal eigenvalue of general Markov jump processes is presented. The result is complete in the sense that the condition is fulfilled and the resulting bound is sharp for Markov chains under some mild assumptions.

Related Organizations

Beijing Normal University
China (People's Republic of)
Beijing Normal University
China (People's Republic of)

Keywords

principal eigenvalue, Eigenvalue problems for linear operators, variational formula for Dirichlet form, jump process, Jump processes, jump processes

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