Open Access
October, 1994 Large Deviations for Empirical Process of Mean-Field Interacting Particle System with Unbounded Jumps
Shui Feng
Ann. Probab. 22(4): 2122-2151 (October, 1994). DOI: 10.1214/aop/1176988496

Abstract

A large deviation system is established for the empirical processes of a mean-field interacting particle system with unbounded jump rates under assumptions that are satisfied by many interesting models including the first and the second Schlogl models. The action functional obtained has a form that is very useful for applications.

Citation

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Shui Feng. "Large Deviations for Empirical Process of Mean-Field Interacting Particle System with Unbounded Jumps." Ann. Probab. 22 (4) 2122 - 2151, October, 1994. https://doi.org/10.1214/aop/1176988496

Information

Published: October, 1994
First available in Project Euclid: 19 April 2007

zbMATH: 0852.60029
MathSciNet: MR1331217
Digital Object Identifier: 10.1214/aop/1176988496

Subjects:
Primary: 60F10
Secondary: 60J75 , 60K35 , 82C26

Keywords: $Q$-process , empirical process , large deviation system , mean-field interacting particle system , nonlinear master equation , pure jump Markov process , Schlogl model

Rights: Copyright © 1994 Institute of Mathematical Statistics

Vol.22 • No. 4 • October, 1994
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