3 papers
math.FA2023
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…
math.FA2021
Row finite systems of stochastic differential equations with dissipative drift
Georgy Chargaziya
Motivated by studies of stochastic systems describing non-equilibrium dynamics of (real-valued) spins of an infinite particle system in we consider a row-finite syst…
math.FA2021
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…