arXiv:math/0210109 Abstract

arXiv:math/0210109 [math.PR]Abstract References Reviews Resources

Fluid Limits of Pure Jump Markov Processes: a Practical Guide

Published 2002-10-08, updated 2002-12-23Version 3

A rescaled Markov chain converges uniformly in probability to the solution of an ordinary differential equation, under carefully specified assumptions. The presentation is much simpler than those in the outside literature. The result may be used to build parsimonious models of large random or pseudo-random systems.

Comments: 16 pages, 1 figure

Categories: math.PR, math.CO

Subjects: 60F17, 05C80, 60J75

Keywords: pure jump markov processes, fluid limits, practical guide, rescaled markov chain converges

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