Exponential mixing of all orders on Kähler manifolds: (quasi-)plurisubharmonic observables

2025/05/07 by Vergamini, Marco, Wu, Hao · 1 citation
#Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2505.04183

Abstract

Let f be a holomorphic automorphism of a compact Kähler manifold with simple action on cohomology and μ its unique measure of maximal entropy. We prove that μ is exponentially mixing of all orders for all d.s.h. observables, i.e., functions that are locally differences of plurisubharmonic functions. As a consequence, every d.s.h. observable satisfies the central limit theorem with respect to μ.

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