6 citations · 6 across the 4 of their papers we have counts for
4 papers · 1 filter
Stochastic differential equations in a scale of Hilbert spaces 2. Global solutions
Georgy Chargaziya, Alexei Daletskii
A stochastic differential equation with coefficients defined in a scale of Hilbert spaces is considered. The existence, uniqueness and path-continuity of infinite-time solutions is…
Stochastic Camassa-Holm equation with convection type noise
Sergio Albeverio, Zdzisław Brzeźniak, Alexei Daletskii
We consider a stochastic Camassa-Holm equation driven by a one-dimensional Wiener process with a first order differential operator as diffusion coefficient. We prove the existence…
Row-finite systems of ordinary differential equations in a scale of Banach spaces
Alexei Daletskii, Dmitri Finkelshtein
Motivated by the study of dynamics of interacting spins for infinite particle systems, we consider an infinite family of first order differential equations in a Euclidean space, pa…
Poisson Cluster Measures: Quasi-invariance, Integration by Parts and Equilibrium Stochastic Dynamics
Leonid Bogachev, Alexei Daletskii
The distribution of a Poisson cluster process in (with i.i.d. clusters) is studied via an auxiliary Poisson measure on the space of configurations in $\…