Anomalous heat-kernel decay for random walk among bounded random conductances

Noam Berger, Marek Biskup, Christopher E. Hoffman +1

We consider the nearest-neighbor simple random walk on ${\mathbb{Z}}^d$, $d\ge 2$, driven by a field of bounded random conductances ${\omega }_{xy}\in [0,1]$. The conductance law is i.i.d. subject to…