62 citations · 675 across the 109 of their papers we have counts for
8 papers · 1 filter
Limit theorems for additive functionals of continuous time random walks
Yuri Kondratiev, Yuliya Mishura, Georgiy Shevchenko
For a continuous-time random walk (in general non-Markov), we study the asymptotic behavior, as , of the normalized additive functional $c_t…
Asymptotics of fundamental solutions for time fractional equations with convolution kernels
Yury Kondratiev, Andrey Piatnitski, Elena Zhizhina
The paper deals with the large time asymptotic of the fundamental solution for a time fractional evolution equation for a convolution type operator. In this equation we use a Caput…
Growth Equation of the General Fractional Calculus
Anatoly N. Kochubei, Yuri Kondratiev
We consider the Cauchy problem , , where is the general convolutional derivative introduced in the paper (A. N. Kochubei, In…
Representations of the Infinite-Dimensional -Adic Affine Group
Anatoly N. Kochubei, Yuri Kondratiev
We introduce an infinite-dimensional -adic affine group and construct its irreducible unitary representation. Our approach follows the one used by Vershik, Gelfand and Graev for…
Fecundity regulation in a spatial birth-and-death process
Viktor Bezborodov, Luca Di Persio, Dmitri Finkelshtein +2
We study a Markov birth-and-death process on a space of locally finite configurations, which describes an ecological model with a density dependent fecundity regulation mechanism.…
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…