A martingale-based method yields maximal large deviation estimates for dynamical systems, enabling Young tower constructions for certain partially hyperbolic maps and slowly mixing billiards.
Central limit theorems and invariance principles for time-one maps of hyperbolic flows
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Martingale Methods for Maximal Large Deviations and Young Towers
A martingale-based method yields maximal large deviation estimates for dynamical systems, enabling Young tower constructions for certain partially hyperbolic maps and slowly mixing billiards.