Anomalous diffusion
The term anomalous diffusion is used in the physics literature to refer to Markov processes with the property that \(E|X_t-X_0|^2\) grows either
faster or slower than linearly. In this talk I will give a survey
of results in this area, including random walks and diffusion
on the Sierpinski gasket and other exact fractals, and random
examples such as critical percolation clusters and the uniform
spanning tree.