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.
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Research supported in part by NSFC (No. 19631060), Math. Tian Yuan Found., Qiu Shi Sci. & Tech. Found., RFDP and MCME
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Chen, M. The Principal Eigenvalue for Jump Processes. Acta Math Sinica 16, 361–368 (2000). https://doi.org/10.1007/s101140000067
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DOI: https://doi.org/10.1007/s101140000067