23 citations · 63 across the 14 of their papers we have counts for
17 papers
Stochastic dynamics of particle systems on unbounded degree graphs
Georgy Chargaziya, Alexei Daletskii
We consider an infinite system of coupled stochastic differential equations (SDE) describing dynamics of the following infinite particle system. Each partricle is characterised by…
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…
Fock representations of multicomponent (particularly non-Abelian anyon) commutation relations
Alexei Daletskii, Alexander Kalyuzhny, Eugene Lytvynov +1
Let be a separable Hilbert space and be a self-adjoint bounded linear operator on with norm , satisfying the Yang--Baxter equation. Bożejko and Speich…
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…
Stochastic differential equations in a scale of Hilbert spaces
Alexei Daletskii
A stochastic differential equation with coefficients defined in a scale of Hilbert spaces is considered. The existence and uniqueness of finite time solutions is proved by an exten…