62 citations · 675 across the 109 of their papers we have counts for
5 papers · 2 filters
Resolvent bounds for jump generators and ground state asymptotics for nonlocal Schrödinger operators
Yuri Kondratiev, Stanislav Molchanov, Andrey Piatnitski +1
The paper deals with jump generators with a convolution kernel. Assuming that the kernel decays either exponentially or polynomially we prove a number of lower and upper bounds for…
Fractional statistical dynamics and fractional kinetics
Jose Luis da Silva, Anatoly N. Kochubei, Yuri Kondratiev
We apply the subordination principle to construct kinetic fractional statistical dynamics in the continuum in terms of solutions to Vlasov-type hierarchies. As a by-product we obta…
Fractional kinetic hierarchies and intermittency
Anatoly N. Kochubei, Yuri Kondratiev
We consider general convolutional derivatives and related fractional statistical dynamics of continuous interacting particle systems. We apply the subordination principle to constr…
A quasispecies continuous contact model in a critical regime
Yuri Kondratiev, Sergey Pirogov, Elena Zhizhina
We study a new non-equilibrium dynamical model: a marked continuous contact model in -dimensional space (). We prove that for certain values of rates (the critical regi…
On ground state of non local Schrodinger operators
Yuri Kondratiev, Stanislav Molchanov, Sergey Pirogov +1
We study a ground state of a non local Schrodinger operator associated with an evolution equation for the density of population in the stochastic contact model in continuum with in…