Expanding on average diffeomorphisms of surfaces: exponential mixing

2024/10/11 by DeWitt, Jonathan, Dolgopyat, Dmitry · 2 citations
#Dynamical Systems (math.DS) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2410.08445

Abstract

We show that the Bernoulli random dynamical system associated to a expanding on average tuple of volume preserving diffeomorphisms of a closed surface is exponentially mixing.

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• Mixing at the Batchelor Scale for White-In-Time Flows
• On equivalence of quenched and annealed statistical properties for conservative IID random dynamical systems

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