In:
Advances in Applied Probability, Cambridge University Press (CUP), Vol. 32, No. 03 ( 2000-09), p. 779-799
Abstract:
Certain types of Markov jump processes x ( t ) with continuous state space and one or more absorbing states are studied. Cases where the transition rate in state x is of the form λ( x ) = | x | δ in a neighbourhood of the origin in ℝ d are considered, in particular. This type of problem arises from quantum physics in the study of laser cooling of atoms, and the present paper connects to recent work in the physics literature. The main question addressed is that of the asymptotic behaviour of x ( t ) near the origin for large t . The study involves solution of a renewal equation problem in continuous state space.
Type of Medium:
Online Resource
ISSN:
0001-8678
,
1475-6064
DOI:
10.1017/S0001867800010259
Language:
English
Publisher:
Cambridge University Press (CUP)
Publication Date:
2000
detail.hit.zdb_id:
1474602-5
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