Speaker: Vitalii Konarovskyi Topic: Conditional Distribution of Independent Brownian Motions to Event of Coalescing Paths   Abstract: In the talk, we will consider a family of independent real-valued Brownian motions starting at distinct points and will be interested in the description of the Continue reading Seminar, September 8→

Speaker: Ekaterina Glinyanaya Topic: Functional limit theorem for integrals with respect to a point process associated with the Arratia flow   Abstract: We consider a point process associated with the Arratia flow on the time segment [0,t]. For integrals with respect to this Continue reading Seminar, September 1→

Докладчик: А. С. Радова  Тема: Z-функція Гекке та її застосування в асимптотичних задачах (за результатами кандидатської дисертації)

Докладчик: Xia Chen (University of Tennessee) Тема: Parabolic Anderson models – Large scale asymptotics Abstract. The model of the parabolic Anderson equation is relevant to some problems  arising from physics such as the particle movement in disorder media, population dynamics, and to the Continue reading Семинар 26.05.2020→

Докладчик: Мария Белозерова (Одесский национальный университет имени И.И. Мечникова) Тема: Асимптотическое поведение решений систем стохастических дифференциальных уравнений со взаимодействием

Докладчик: Victor Marx (Leipzig University) Тема: Smoothing properties of a diffusion on the Wasserstein space Abstract: We study in this talk diffusion processes defined on the L_2-Wasserstein space of probability measures on the real line. We will introduce the construction of a diffusion Continue reading Семинар 12.05.2020→

Докладчик: Max von Renesse Тема: Molecules as metric measure spaces with lower Kato Ricci curvature Joint work with Batu Güneysu (Humboldt University Berlin) Abstract. In this talk we shall present a new result which connects the analysis of the Schrödinger semigroup associated to Continue reading Семинар 28.04.2020→

Докладчик: Vitalii Konarovskyi Тема: On the existence and uniqueness of solutions to the Dean-Kawasaki equation Abstract. We consider the Dean-Kawasaki equation with smooth drift interaction potential and show that measure-valued martingale solutions exist only in certain parameter regimes in which Continue reading Семинар 21.04.2020→

Докладчик: Е.В. Глиняная Тема: Предельные теоремы для числа кластеров в потоке Арратья

Докладчик: PD Dr. Yana Kinderknecht (Butko) (Technical University of Braunschweig) Тема: Chernoff approximation of operator semigroups generated by Markov processes Abstract: We present a method to approximate operator semigroups generated by Markov processes and, therefore, transition probabilities of these processes. This Continue reading Семинар 07.04.2020→