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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-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-ph2021

Markov dynamics on the cone of discrete Radon measures

Dmitri Finkelshtein, Yuri Kondratiev, Peter Kuchling

We start with a brief overview of the known facts about the spaces of discrete Radon measures those may be considered as generalizations of configuration spaces. Then we study thre…

math-ph2019★ 18 cited

Heat Kernel Estimates for Fractional Heat Equation

Anatoly N. Kochubei, Yuri G. Kondratiev, José L. da Silva

We study the long-time behavior of the Cesaro means of fundamental solutions for fractional evolution equations corresponding to random time changes in the Brownian motion and othe…

math-ph2019

Weak-coupling limit for ergodic environments

Martin Friesen, Yuri Kondratiev

The main aim of this work is to establish an averaging principle for a wide class of interacting particle systems in the continuum. This principle is an important step in the analy…

math-ph2018★ 1 cited

Invariant measures for spatial contact model in small dimensions

Yuri Kondratiev, Oleksandr Kutoviy, Sergey Pirogov +1

We study invariant measures of continuous contact model in small dimensional spaces (). Under general conditions we prove that in the critical regime this system has the on…

math-ph2017

Stochastic averaging for a spatial population model in random environment

Martin Friesen, Yuri Kondratiev

In this work we study the non-equilibrium Markov state evolution for a spatial population model on the space of locally finite configurations over $\mathbb{R…