First eigenvalue of birth-death processes with killing

First eigenvalue of birth-death processes with killing
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带有杀生的生灭过程的第一特征值

DOI:
10.1007/s11464-012-0204-7
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发表时间:
2012-04
影响因子:
--
通讯作者:
王健
王健
中科院分区:
数学4区
文献类型:
--
作者:
王健

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In this paper, we present an explicit and computable lower bound for the first eigenvalue of birth-death processes with killing. This estimate is qualitatively sharp for birth-death processes without killing. We also establish an approximation procedure for the first eigenvalue of the birth-death process with killing by an increasing principal eigenvalue sequence of some birth-death processes without killing. Some applications of our results are illustrated by many examples.
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