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20122026
most citedA stochastic approach to path-dependent nonlinear Kolmogorov equations via BSDEs with time-delayed generators and applications to finance

14 citations · 44 across the 33 of their papers we have counts for

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Showing 2022Show all

5 papers · 1 filter

math-ph2022

Classical gases with singular densities

Luca Di Persio, Yuri Kondratiev, Viktorya Vardanyan

We study classical continuous systems with singular distributions of velocities. Radon measures with the infinite mass give these distributions. Positions of particles in such syst…

math.PR2022

Diffusion Approximation for Transport Equations with Dissipative Drifts for Time Dependent Coefficients

Luca Di Persio, Yuri Kondratiev, Viktorya Vardanyan

We consider a generalization of classical results of Freidlin and Wentzell to the case of time dependent dissipative drifts. We show the convergence of diffusions with multiplicati…

math.PR2022

Feynman-Kac formula for BSDEs with jumps and time delayed generators associated to path-dependent nonlinear Kolmogorov equations

Luca Di Persio, Matteo Garbelli, Adrian Zălinescu

We consider a system of Forward Backward Stochastic Differential Equations (FBSDEs), with time delayed generator and driven by Lèvy-type noise. We establish a non linear Feynman Ka…

math.AP2022

The Master Equation in a Bounded Domain with Absorption

Luca Di Persio, Matteo Garbelli, Michele Ricciardi

We analyze the Master Equation within Mean Field Games (MFG) theory considering a bounded domain with homogeneous Dirichlet conditions. Concerning the N-players differential game,…

math.PR2022★ 1 cited

Explosion and non-explosion for the continuous-time frog model

Viktor Bezborodov, Luca Di Persio, Peter Kuchling

We consider the continuous-time frog model on . At time , there are particles at , each of which is represented by a random variable. In…