Biased motion in disorder: persistent discreteness, rational resonance, and stable limits
Probability Seminar
Oct 13, 2010, 03:10 PM - 04:00 PM | 330 Evans Hall | Happening As Scheduled
Alan Hammond, University of Oxford, visiting MSRI
A biased random walker in open space will move at positive velocity.
If the medium is disordered, however, the motion may be slowed to
vanishing velocity by the walker encountering large connected
structures in the disorder that acts as traps. A natural model for these
effects is a walker on an infinite Galton-Watson tree with leaves, with a
constant bias away from the root. Here, the finite...