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math.DS2023
Local limit theorems for hitting times and return times of small sets
Max Auer, Roland Zweimüller
We establish abstract local limit theorems for hitting times and return-times of suitable sequences (A_{l}) of asymptotically rare events in ergodic probability preserving dynamica…
math.DS2023
Poisson Limit Theorems for Systems with Product Structure
Max Auer
We obtain a Poisson Limit for return times to small sets for product systems. Only one factor is required to be hyperbolic while the second factor is only required to satisfy polyn…