2 problems

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S60's conjecture on the polynomial correlation decay rate for heterochaos baker maps
S60's conjecture. Based on a numerical experiment, the decay rate of correlations for Hölder continuous functions is of polynomial order $n^{-3/2}$ , and this rate is optimal.
Conjectureopendecay-of-correlations dynamical-systems heterochaosarXiv posted 2 days ago
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Density of 1-unstable periodic points for coupled tent maps
Let $f_a\colon\mathbb R\to\mathbb R$ be the skew tent map and let the coupled tent map have coupling parameter $\omega$ . Its topological attractor is the closed invariant set conta…
Conjectureopendynamical-systems heterochaos periodic-pointsarXiv posted 2 days ago

S60's conjecture on the polynomial correlation decay rate for heterochaos baker maps