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math.PR2019
Stochastic perturbation of a cubic anharmonic oscillator
Enrico Bernardi, Alberto Lanconelli
We perturb with an additive Gaussian white noise the Hamiltonian system associated to a cubic anharmonic oscillator. The stochastic system is assumed to start from initial conditio…
math.PR2019
Absolute continuity and Fokker-Planck equation for the law of Wong-Zakai approximations of Itô's stochastic differential equations
Alberto Lanconelli
We investigate the regularity of the law of Wong-Zakai-type approximations for Itô stochastic differential equations. These approximations solve random differential equations where…