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Publications

2026

Trimmed strong laws and distributional limits for exponentially mixing systems
Max Auer, S. Liu
Under review at Ergodic Theory and Dynamical Systems
We study ergodic sums of non-integrable observables for exponentially mixing systems.

2025

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
Under review at Ergodic Theory and Dynamical Systems
We study ergodic sums of non-integrable observables over rotations.

2023

Poisson Limit Theorems for Systems with Product Structure
Max Auer
Published in Discrete and Continuous Dynamical Systems
We develop a method for proving Poisson limit theorems in deterministic systems with intermediate behaviour.

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