Abstract:
We consider a random walk among time-dependent random conductances. In recent years the long-time behaviour of this model under diffusive rescaling has been intensively studied, and -- depending on the assumptions on the law of the environment -- is fairly well understood. In this talk, I will discuss how to obtain first and second space derivatives of the annealed transition density using entropy estimates that has been developed in the time-independent setting in a paper by Benjamini, Duminil-Copin, Kozma, and Yadin (2016).
Biography:
Professor Jean-Dominique Deuschel is a mathematician known for his work in probability theory. He currently holds the position of Professor (C4) at Technische Universität Berlin. He obtained his Ph.D. in Mathematics from ETH Zürich in 1985 under the guidance of H. Föllmer. Since October 1993, he has been a Professor of Probability Theory (C4) at Technische Universität Berlin. Prior to this, he held positions as an Assistant Professor at ETH Zürich (October 1990 - September 1993), Assistant Professor at Cornell University (09/1988 - 09/1990), and Lecturer and Research Fellow at MIT, Cambridge (09/1986 - 08/1988). Professor Deuschel is a highly accomplished mathematician with a diverse range of contributions and leadership roles. He has served as an Associate Editor for Annals of Applied Probability and also Probability Theory and Related Fields over the previous years. Additionally, he has held the position of President of the Swiss Scientists Society Berlin since 1995. Professor Deuschel actively engages in coordinating research programs and training groups, organizing conferences and workshops, and leading on research projects. Professor Deuschel's expertise and contributions extend to areas such as stochastic analysis, statistical mechanics, and the analysis of complex processes.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai
This event is open to the NYU Shanghai community and Math community.