Electronic Resource
Springer
Journal of statistical physics
58 (1990), S. 939-966
ISSN:
1572-9613
Keywords:
Ergodic theorems
;
reaction-diffusion processes
;
coupling
;
Kantorovich probability distance
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract New sufficient conditions are given for the ergodicity of reaction-diffusion processes which improve both Neuhauser's recent result and the present author's previous result. In the main criterion; contrary to the previous ones, the pure birth rate of the reaction plays a critical role. To do this, a new but natural coupling is introduced. It is proved that this coupling is the best one in some sense. One of the main results says that the reaction-diffusion processes are ergodic for all large enough pure birth rates.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01026558
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