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Quenched limit theorems via mixing of all orders for random dynamical systems
Max Auer
preprint
We adapt the notion of mixing of all orders to random dynamical systems and use it to establish quenched limit theorems.
Trimmed strong laws and distributional limits for exponentially mixing systems
Max Auer, S. Liu
Accepted for publication, Ergodic Theory and Dynamical systems
We study ergodic sums of non-integrable observables for exponentially mixing systems.
Local limit theorems for hitting times and return times of small sets
Max Auer, R. Zweimüller
To appear in Israel Journal of Mathematics
We show a local time version of the Poisson limit theorem in certain deterministic systems.
Trimmed ergodic sums for non-integrable functions with power singularities over irrational rotations
Max Auer, T. I. Schindler
preprint
We study ergodic sums of non-integrable observables over rotations.
Poisson Limit Theorems for Systems with Product Structure
Max Auer
Published in Discrete and Continuous Dynamical Systems, 45 (2025), no. 5, 1454–1491
We develop a method for proving Poisson limit theorems in deterministic systems with intermediate behaviour.