New point view of spectral gap in functional spaces for birth-death processes

doi:10.1007/s11464-013-0276-z

Front. Math. China

2014, Vol. 9

Issue (3) : 523-535 https://doi.org/10.1007/s11464-013-0276-z

RESEARCH ARTICLE

New point view of spectral gap in functional spaces for birth-death processes

Yutao MA(

),Yonghua MAO

School of Mathematical Sciences, Key Laboratory on Mathematics and Complex System, Beijing Normal University, Beijing 100875, China

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Abstract

Constructing some proper functional spaces, we obtain the corresponding norm for the operator (-L)^-1, and then, via spectral theory, we revisit two variational formulas of the spectral gap, given by M. F. Chen [Front. Math. China, 2010, 5(3): 379-515], for transient birth-death processes.

Keywords Birth-death processes Dirichlet first eigenvalue variational formula spectral theory duality

Corresponding Author(s): Yutao MA

Issue Date: 24 June 2014

Cite this article:

Yutao MA,Yonghua MAO. New point view of spectral gap in functional spaces for birth-death processes[J]. Front. Math. China, 2014, 9(3): 523-535.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-013-0276-z
https://academic.hep.com.cn/fmc/EN/Y2014/V9/I3/523

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