Every complex H 'enon map is exponentially mixing of all orders and\n satisfies the CLT

2023/01/31 by Fabrizio Bianchi, Bianchi, Fabrizio, Tien‐Cuong Dinh +2
Computer Science · Mathematics · #Cellular Automata and Applications #Complex Variables (math.CV) #Computability, Logic, AI Algorithms #Dynamical Systems (math.DS) #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2301.13535

openalex publication_date 2023/01/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the measure of maximal entropy of every complex H 'enon map is\nexponentially mixing of all orders for H ''older observables. As a consequence,\nthe Central Limit Theorem holds for all H ''older observables.\n

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