ANOMALOUS SCALING REGIME FOR ONE-DIMENSIONAL MOTT VARIABLE-RANGE HOPPING (Probability Symposium)

Abstract

The Mott variable range model is a random walk on a random point process, where jumps occur at rate one and the conductance between two points decays exponentially in their distance. We discuss the regime where the density of points is low, resulting in large gaps that act as a blocking mechanism for the random walk. We identify the scaling limit under the appropriate subdiffusive rescaling. Joint work with David Croydon and Ryoki Fukushima.