73 citations · 102 across the 12 of their papers we have counts for
4 papers · 1 filter
Approximation of non-linear SPDEs with additive noise via weighted interacting particles systems: the stochastic McKean-Vlasov equation
Letizia Angeli, Dan Crisan, Martin Kolodziejczyk +1
This paper is devoted to the problem of approximating non-linear Stochastic Partial Differential Equations (SPDEs) via interacting particle systems. In particular, we consider the…
A Probabilistic approach to classical solutions of the master equation for large population equilibria
Jean-François Chassagneux, Dan Crisan, François Delarue
We analyze a class of nonlinear partial differential equations (PDEs) defined on where is the Wasse…
A second order time discretization of the solution of the non-linear filtering problem
Dan Crisan, Salvador Ortiz-Latorre
The solution of the continuous time filtering problem can be represented as a ratio of two expectations of certain functionals of the signal process that are parametrized by the ob…
The filtering equations revisited
Thomas Cass, Martin Clark, Dan Crisan
The problem of nonlinear filtering has engendered a surprising number of mathematical techniques for its treatment. A notable example is the change-of--probability-measure method o…