3 problems

Let $f:M\to M$ be a non-uniformly expanding map with an absolutely continuous invariant measure $\mu$. The map is totally expanding when every invariant measure has all Lyapunov ex…

Let $f$ be a nonuniformly expanding map. Perturbation-persistence conjecture. Sufficiently small perturbations of $f$ have positive probability of also being nonuniformly expanding…

A multimodal map is said to satisfy Tsujii's conditions when all its critical points satisfy both the Collet–Eckmann condition and the Slow Recurrence condition. Tsujii's condition…