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20152022
most citedRandom Time Dynamical Systems

1 citations · 2 across the 12 of their papers we have counts for

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math.PR2022

Diffusion Approximation for Transport Equations with Dissipative Drifts

Luca Di Persio, Yuri Kondratiev, Viktorya Vardanyan

We study stochastic differential equations(SDEs) with a small perturbation parameter. Under the dissipative condition on the drift coefficient and the local Lipschitz condition on…

math.PR2022

Weak energy shaping for stochastic controlled port-Hamiltonian systems

Francesco G. Cordoni, Luca Di Persio, Riccardo Muradore

The present work address the problem of energy shaping for stochastic port-Hamiltonian system. Energy shaping is a powerful technique that allows to systematically find feedback la…

math.PR2019

Fecundity regulation in a spatial birth-and-death process

Viktor Bezborodov, Luca Di Persio, Dmitri Finkelshtein +2

We study a Markov birth-and-death process on a space of locally finite configurations, which describes an ecological model with a density dependent fecundity regulation mechanism.…

math.PR2017

Optimal control for the stochastic FitzHugh-Nagumo model with recovery variable

Francesco Cordoni, Luca Di Persio

In the present paper we derive the existence and uniqueness of a solution for the optimal control problem determined by a stochastic FitzHugh-Nagumo equation with recovery variable…

math.PR2017

Stochastic reaction-diffusion equations on networks with dynamic time-delayed boundary conditions

Francesco Cordoni, Luca Di Persio

We consider a reaction-diffusion equation on a network subjected to dynamic boundary conditions, with time delayed behaviour, also allowing for multiplicative Gaussian noise pertur…