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math.DS2025
An ergodic Lebesgue differentiation theorem
Aidan Young
We show that if is a probability measure-preserving dynamical system, and is a countable partition of , then the limit \[ \lim_{n, k \to \infty} \…
cs.IT2025
Non-alternating mean payoff games
Tom Meyerovitch, Aidan Young
We present and study a variant of the mean payoff games introduced by A. Ehrenfeucht and J. Mycielski. In this version, the second player makes an infinite sequence of moves only a…