Sharp Bounds for the First Processes and Eigenvalue of Symmetric Markov Their Applications-中国Betway体育网页登陆

摘要 ByadoptinganiceauxiliarytransformofMarkovoperators,wederivenewboundsforthefirsteigenvalueofthegeneratorcorrespondingtosymmetricMarkovprocesses.Ourresultsnotonlyextendtherelatedtopicintheliterature,butalsoareefficientlyusedtostudythefirsteigenvalueofbirth-deathprocesseswithkillingandthatofellipticoperatorswithkillingonhalfline.Inparticular,weobtaintwoapproximationproceduresforthefirsteigenvalueofbirth-deathprocesseswithkilling,andpresentqualitativelysharpupperandlowerboundsforthefirsteigenvalueofellipticoperatorswithkillingonhalfline.

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Sharp Bounds for the First Processes and Eigenvalue of Symmetric Markov Their Applications

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