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math.CA2021
Diffusion Approximations of Markovian Solutions to Discontinuous ODEs
Alberto Bressan, Marco Mazzola, Khai T. Nguyen
In a companion paper, the authors have characterized all deterministic semigroups, and all Markov semigroups, whose trajectories are Carathe'odory solutions to a given ODE x'=f(x),…
math.CA2020
Markovian Solutions to Discontinuous ODEs
Alberto Bressan, Marco Mazzola, Khai T. Nguyen
Given a possibly discontinuous, bounded function , we consider the set of generalized flows, obtained by assigning a probability measure on the set o…