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math.PR2026
Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations
Lucio Galeati, Filippo Giovagnini, Massimo Sorella
We prove the lack of selection in the zero-noise limit for solutions to SDEs driven by a divergence-free, Hölder continuous vector field with exponent , arbitrarily clos…
math.PR2025
On the density of singular SDEs with fractional noise and applications to McKean-Vlasov equations
Lukas Anzeletti, Lucio Galeati, Alexandre Richard +1
We investigate properties of the (conditional) law of the solution to SDEs driven by fractional Brownian noise with a singular, possibly distributional, drift. Our results on the l…