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math.PR2007★ 69 cited
Nonlinear SDEs driven by Lévy processes and related PDEs
Benjamin Jourdain, Sylvie Méléard, Wojbor Woyczynski
In this paper we study general nonlinear stochastic differential equations, where the usual Brownian motion is replaced by a Lévy process. We also suppose that the coefficient mult…
math.PR2007★ 33 cited
Propagation of chaos and Poincaré inequalities for a system of particles interacting through their cdf
Benjamin Jourdain, Florent Malrieu
In the particular case of a concave flux function, we are interested in the long time behaviour of the nonlinear process associated to the one-dimensional viscous scalar conservati…