3 citations · 3 across the 4 of their papers we have counts for
4 papers
Krylov-Veretennikov decomposition for measure-valued processes induced by SDEs with interaction on Riemannian manifolds
Andrey Dorogovtsev, Alexander Weiß
We introduce a framework for stochastic differential equations (SDEs) with interaction on compact, connected, -dimensional manifolds. For SDEs whose drift and diffusion coeffici…
A Central Limit Theorem for Modified Massive Arratia Flow
Andrey Dorogovtsev, Vitalii Konarovskyi, Max von Renesse
The modified massive Arratia flow is a model for the dynamics of passive particle clusters moving in a random fluid that accounts for the effects of mass aggregation. We show a cen…
Random integral operators related to the point processes
Andrey Dorogovtsev, Iaroslava Korenovska
In the article we study properties of the random integral operator in whose kernel is obtained as a convolution of Gaussian density with a stationary point proces…
Iterated logarithm law for sizes of clusters in Arratia flow
A. A. Dorogovtsev, A. V. Gnedin, M. B. Vovchanskii
The asymptotics of sizes of clusters for the Arratia flow is considered, the Arratia flow being a system of coalescing Wiener processes starting from the real axis and independent…