AbstractIn this talk we consider the stochastic homogenization of elliptic non-divergence form equations on the integer lattice and the corresponding model of random walks in random environment (RWRE) which is a martingale. We will derive the optimal rates of the homogenization for the Dirichlet problem. We will also discuss the correlation structure of the invariant measure and quantitative es...
Organizers吴昊,杨帆,姜建平,顾陈琳SpeakerShuo Qin 秦硕BIMSATimeThur., 16:00-17:00, Mar. 6, 2025VenueC548, Shuangqing Complex Building AStep-reinforced random walks and one halfUnder suitable moment assumptions, we show that the step-reinforced random walk exhibits a phase transition between recurrence and transience in dimensions one and two, while remaining transient for all parameters in di...