A Martingale Approach to the Law of Large Numbers for Weakly Interacting Stochastic Processes
Open Access
- 1 May 1984
- journal article
- Published by Institute of Mathematical Statistics in The Annals of Probability
- Vol. 12 (2) , 458-479
- https://doi.org/10.1214/aop/1176993301
Abstract
It is shown that certain measure-valued stochastic processes describing the time evolution of systems of weakly interacting particles converge in the limit, when the particle number goes to infinity, to a deterministic nonlinear process.Keywords
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