23 citations · 59 across the 25 of their papers we have counts for
29 papers
High-contrast periodic random jumps in continuum and limit Markov process
Andrey Piatnitski, Elena Zhizhina
The paper deals with the asymptotic properties of a random jump process in a high contrast periodic medium in , . We show that if the coordinates of the rando…
Homogenization of nonlocal convolution type operators: Approximation for the resolvent with corrector
Andrei Piatnitski, Vladimir Sloushch, Tatiana Suslina +1
In , we consider a selfadjoint bounded operator , , of the form $$ ({\mathbb A}_\varepsilon u) (\mathbf{x}) = \varepsilo…
Non-local convolution type operators with potential: essential and infinite discrete spectrum
Denis Borisov, Andrey Piatnitski, Elena Zhizhina
The goal of this note is to study the spectrum of a self-adjoint convolution operator in with an integrable kernel that is perturbed by an essentially bounded re…
Homogenization of non-autonomous evolution problems for convolution type operators in random media
Andrey Piatnitski, Elena Zhizhina
We study homogenization problem for non-autonomous parabolic equations of the form with an integral convolution type operator that has a non-symmetric j…
Invariant measures for contact processes with state dependent birth and death rates
Sergey Pirogov, Elena Zhizhina
In this paper, we consider contact processes on locally compact separable metric spaces with birth and death rates heterogeneous in space. Conditions on the rates that ensure the e…
Homogenization of non-autonomous operators of convolution type in periodic media
Andrey Piatnitski, Elena Zhizhina
The paper deals with periodic homogenization problem for a para\-bo\-lic equation whose elliptic part is a convolution type operator with rapidly oscillating coefficients. It is as…