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math.DS2026
Quenched limit theorems via mixing of all orders for random dynamical systems
Max Auer
We adapt the notion of mixing of all orders to random dynamical systems and use it to establish quenched limit theorems. Assuming quenched exponential mixing of all orders, we prov…
math.DS2026
Trimmed strong laws and distributional limits for exponentially mixing systems
Max Auer, Sixu Liu
The Birkhoff Ergodic Theorem establishes pointwise convergence for integrable observables, but for , no normalization yields almost sure convergence. This paper invest…