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math.PR2026
Signature McKean-Vlasov stochastic differential equations
Fred Espen Benth, Salvador Ortiz-Latorre, Leonardo Tarquini
McKean-Vlasov-type stochastic differential equations (SDEs) are characterized by coefficients depending on both the state and the law of the solution. In this work, we focus on a c…
math.PR2026
Path-dependent McKean PDEs with reaction: a discussion on probabilistic interpretations and particle approximations
Daniela Morale, Leonardo Tarquini, Stefania Ugolini
In this paper, we discuss and compare two probabilistic approaches for associating a stochastic differential equation with a McKean-type partial differential equation featuring a r…