In this talk we consider the following model. Given are a simple random walk and independently of it a simple symmetric exclusion process. Whenever the random walker is on top of an exclusion particle it gets killed at rate ε. We consider the regime in which time gets appropriately rescaled with ε and prove asymptotics for the survival probability of the walk. This is joint work in progress with Martin Hairer.
Dirk Erhard is an Assistant Professor at the Federal University of Bahia in Salvador, Brazil. He graduated from the Technical University of Berlin, and obtained his Ph.D. from Leiden University in 2014 under the supervision of Frank den Hollander. Afterwards he was a Postdoc at Warwick University of Martin Hairer. His research interests include renormalization of SPDEs, interacting particle systems and the study of random walks and Brownian motions.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai