Trapping mechanisms for random walks on Galton-Watson trees
Date/Time:26 Apr 2018 15:00Venue: S17 #04-06 SR1Speaker: Adam Bowditch, National University of SingaporeTrapping mechanisms for random walks on Galton-Watson treesIn a range of models of random walks in random environments, the asymptotic behaviour of the walk is driven by a trapping mechanism arising due to adverse regions in the environment. Random walks on trees are a natural example as dead-ends in the tree form traps which slow the walk. In this talk, we discuss biased random walks on both supercritical and subcritical Galton-Watson trees conditioned to survive. In particular, we describe how the trapping observed in these models is influenced by the structure of the tree and focus on questions concerning the existence of a limiting speed, the scale of the fluctuations and the issues concerning functional results.Add to calendar: