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The Principal Eigenvalue for Jump Processes
Authors:Mufa Chen
Institution:(1) Department of Mathematics, Beijing Normal University, Beijing 100875, P. R. China, E-mail: mfchen@bdu.cn, CN
Abstract: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. Received November 15, 1999, Accepted March 9, 2000
Keywords:Principal eigenvalue  Jump processes  Variational formula for Dirichlet form
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