Linear progress with exponential decay in weakly hyperbolic groups
Linear progress with exponential decay in weakly hyperbolic groups
A random walk $w_n$ on a separable, geodesic hyperbolic metric space $X$ converges to the boundary $\partial X$ with probability one when the step distribution supports two independent loxodromics. In particular, the random walk makes positive linear progress. Progress is known to be linear with exponential decay when (1) the …