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Asymptotics of the Invariant Measure in Mean Field Models with Jumps
decoupling approximation fluid limit invariant measure McKean-Vlasov equation mean field limit small noise limit
2011/9/16
Abstract: We consider the asymptotics of the invariant measure for the process of the spatial distribution of $N$ coupled Markov chains in the limit of a large number of chains. Each chain reflects th...
Scaling Limits for Multispecies Statistical Mechanics Mean-Field Models
Multispecies Statistical Mechanics Mean-Field Models
2010/11/19
We study the limiting thermodynamic behavior of the normalized sums of spins in multi-species Curie-Weiss models. We find sufficient conditions for the limiting random vector to be Gaussian (or to ha...