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math.DS2011★ 27 cited
On Mean Field Convergence and Stationary Regime
Michel Benaim, Jean-Yves Le Boudec
Assume that a family of stochastic processes on some Polish space converges to a deterministic process; the convergence is in distribution (hence in probability) at every fixed…
math.DS2010★ 6 cited
The Stationary Behaviour of Fluid Limits of Reversible Processes is Concentrated on Stationary Points
Jean-Yves Le Boudec
Assume that a stochastic processes can be approximated, when some scale parameter gets large, by a fluid limit (also called "mean field limit", or "hydrodynamic limit"). A common p…