Speaker: Georgii Riabov (Institute of Mathematics, NAS of Ukraine) Topic: Strong flow modifications of stochastic flows

Speaker: Ekaterina Glinyanaya (Institute of Mathematics, NAS of Ukraine) Topic: Arratia flow as a Markov process with respect to the spatial variable

Speaker: Xia Chen (University of Tennessee) Topic: Intermittency for hyperbolic Anderson equations with time-independent Gaussian noise: Stratonovich regime. Abstract: Recently, a precise intermittency for the hyperbolic Anderson model has been established in Ito-Skorohod regime. In this talk, we discuss the same Continue reading Seminar, November 1st→

Speaker: Andrey Pilipenko (Institute of Mathematics, NAS of Ukraine) Topic: Limit behavior of perturbed random walks

Speaker: Mykola Vovchanskii (Institute of Mathematics, NAS of Ukraine) Title: Splitting for one class of coalescing stochastic flows Abstract: The algorithm of splitting, based on the Trotter-Kato formula, is applied to Harris flows with coalescence. Estimates of the speed of Continue reading Seminar, October 11→

Speaker: Vitalii Konarovskyi Topic: Conservative SPDEs as fluctuating mean field limits of stochastic gradient descent

Speaker: Oleg Zaboronski (University of Warwick) Title: Probabilistic methods for the asymptotic analysis of Fredholm Determinants and Pfaffians Abstract: I will review the probabilistic method for computing large gap asymptotics of certain Fredholm determinants due to Marc Kac. The main idea is to interpret Continue reading Seminar, September 27→

Speaker: Mykola Portenko (Institute of Mathematics, NAS of Ukraine) Topic: Several comments to the behavior of Brownian motion in a Euclidean space with a membrane located on a given hyperplane. Abstract. My talk will concern the limit theorem for the number of crossings Continue reading Seminar, September 20→

Speaker: Alexey Rudenko (Institute of Mathematics, NAS of Ukraine) Topic: An estimate for Hausdorff measure of the set of the intersections of several independent Brownian motions on Carnot group

Speaker: Naoufel Salhi (University of Carthage) Topic: Self-intersection local times as generalized functionals