Семінар 31.10.2023

Доповідач: Олексій Руденко (Інститут математики НАН України) Тема: Multiple intersections and potentials for several independent Brownian motions in Carnot groups Тези: It is well-known that a hitting probability of Markov process can be represented as a potential of some measure. Moreover there are several results relating the probability for the product of trajectories of several independent Markov processes to hit […]

Семінар 17.10.2023

Доповідач: Mикола Вовчанський (Інститут математики НАН України) Тема: On operator splitting methods for stochastic flows: dual non-homeomorphic flows, error expansions Тези: A splitting scheme for 1d stochastic flows is revisited. Two quite separate questions are addressed. The first one concerns non-homeomorphic flows and deals with the convergence of dual flows evolving in the reversed time. The second one […]

Семінар 03.10.2023

Доповідач: Feng-Yu Wang (Тяньцзіньський університет) Тема: Entropy Estimate Between Diffusion Processes with Application to MV SDEs Тези: By developing a new technique called the bi-coupling argument, we estimate the relative entropy between different diffusion processes in terms of the distances of initial distributions and drift-diffusion coefficients. As an application, the entropy-cost inequality is established for McKean-Vlasov SDEs.

Семінар 06.06.2023

Доповідач: Н. Н. Ганіходжаєв (Інститут математики імені В. І. Романовського Академії наук Республіки Узбекистан) Тема: Limit distributions of some Markov chains with memory Тези. In our previous presentation we have considered Markov chains with memory 2. It is known that the theory of finite Markov chains with positive transition probabilities can be embedded into the theory of limit Gibbs […]

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