$L^2$-Algebraic Decay Rate for Transient Birth-Death Processes

Citation:

Lijuan CHENG,Yingzhe WANG.$L^2$-Algebraic Decay Rate for Transient Birth-Death Processes[J].Chinese Annals of Mathematics B,2012,33(4):583~594
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Authors:

Lijuan CHENG; Yingzhe WANG;

Foundation:

the National Natural Science Foundation of China (No. 10721091).
Abstract: This paper is a continuation of the study of the algebraic speed for Markov processes. The authors concentrate on algebraic decay rate for the transient birth-death processes. According to the classification of the boundaries, a series of the sufficient conditions for algebraic decay is presented. To illustrate the power of the results, some examples are included.

Keywords:

Transient, Birth-death processes, Algebraic decay

Classification:

60F25, 60J60
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