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Speed of Weak Mixing for the Chacon Map

2023/08/01 by Nelson Moll, Moll, Nelson
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #37A30 #37B10 #47A11 #Amino Acid Enzymes and Metabolism #Cellular Automata and Applications #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2308.00823

openalex publication_date 2023/08/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We first consider a non-primitive substitution subshift that is conjugate to the Chacon map. We then derive spectral estimates for a particular subshift and the speed of weak mixing for a class of observables with certain regularity conditions. After, we use these results to find the speed of weak mixing for the Chacon map on the interval and show that this bound is essentially sharp.

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