Frontiers of Mathematics in China >
First eigenvalue of birth-death processes with killing
Received date: 04 Jan 2010
Accepted date: 16 Mar 2012
Published date: 01 Jun 2012
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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.
Jian WANG . First eigenvalue of birth-death processes with killing[J]. Frontiers of Mathematics in China, 2012 , 7(3) : 561 -572 . DOI: 10.1007/s11464-012-0204-7
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