3. Limit Laws and Linear Progress

Exponential Genericity of PseudoAnosovs
Problem 3.1.
[Inhyeok Choi] Let $S$ be a generating set for the mapping class group. Does the number of nonpseudoAnosov elements in the Rball with respect to S converge exponentially to 0 as $R$ goes to infinity?
Cite this as: AimPL: Random walks beyond hyperbolic groups, available at http://aimpl.org/randwalkgroup.