Damron, Michael; Hanson, Jack; Sosoe, Philippe - In: Stochastic Processes and their Applications 123 (2013) 9, pp. 3588-3621
We derive quenched subdiffusive lower bounds for the exit time τ(n) from a box of size n for the simple random walk on the planar invasion percolation cluster. The first part of the paper is devoted to proving an almost sure analogue of H. Kesten’s subdiffusivity theorem for the random walk...