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19982022
most citedMarkov evolutions and hierarchical equations in the continuum I. One-component systems

62 citations · 675 across the 109 of their papers we have counts for

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math.PR2022

Random zeros entire functions

Yuri Kondratiev

We propose the construction of entire functions with a given random collection of zeros. There are considered two particular cases. In the first one we are dealing with simple zero…

math.PR2022

Compound Poisson Processes: Potentials, Green Measures and Random Times

Yuri Kondratiev, José Luís da Silva

In this paper we study the existence of Green measures for Markov processes with a nonlocal jump generator. The jump generator has no second moment and satisfies a suitable conditi…

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

A quasispecies continuous contact model in a subcritical regime

Sergey Pirogov, Elena Zhizhina

We study a non-equilibrium dynamical model: a marked continuous contact model in -dimensional space, . In contrast with the continuous contact model in a critical regim…

math.PR2021

Cesaro Limits for Fractional Dynamics

José L. da Silva, Yuri G. Kondratiev

We study the asymptotic behavior of random time changes of dynamical systems. As random time changes we propose three classes which exhibits different patterns of asymptotic decays…

math.PR2020

Green Measures for Time Changed Markov Processes

José L. da Silva, Yuri Kondratiev

In this paper we study Green measures for certain classes of random time change Markov processes where the random time change are inverse subordinators. We show the existence of th…