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 […]
Семинар 21.04.2020
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 case they are given by finite Langevin particle systems with mean-field interaction. The proof is […]
Семинар 14.04.2020
Докладчик: Е.В. Глиняная Тема: Предельные теоремы для числа кластеров в потоке Арратья
Семинар 07.04.2020
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 method is based on the Chernoff theorem. In some cases, Chernoff approximations provide also discrete […]