Year: 2020

Speaker: Andrey Pilipenko Topic: Exponential a.s. synchronization of one-dimensional diffusions with non-regular coefficients  

Speaker: Alexey Rudenko Topic: Some examples of projections of diffusions with and without self-intersections

Speaker: Mykola Vovchanskii Topic: On n-point densities of the point measures in the Arratia flows and their approximations   Abstract: We discuss the n-point densities arising in the consideration of finite-dimensional motions of the Arratia flow and describing sequences of collisions in the flow. An explicit expression for them is derived. The initial interval being discretized, the convergence […]

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 conditional distribution of this family to the event that trajectories coalesce, which is of probability […]

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 process we prove a functional limit theorem in the space D.

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 KPZ equations through a suitable transformation. In the name of intermittency, broadly speaking, there has […]

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 inspired by (but slightly different from) the modified massive Arratia flow, studied by Konarovskyi and […]

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 a molecule to the theory of metric measure spaces with lower Ricci curvature bounds. We […]