Shortest Distance Between Multiple Orbits and Generalized Fractal Dimensions

Barros Vanessa; Rousseau Jerome

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Shortest Distance Between Multiple Orbits and Generalized Fractal Dimensions

机译：多个轨道之间的最短距离和广义分形尺寸之间的最短距离

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摘要

We consider rapidly mixing dynamical systems and link the decay of the shortest distance between multiple orbits with the generalized fractal dimension. We apply this result to multidimensional expanding maps and extend it to the realm of random dynamical systems. For random sequences, we obtain a relation between the longest common substring between multiple sequences and the generalized Renyi entropy. Applications to Markov chains and Gibbs states are given.

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《Annales Henri Poincare》 |2021年第6期|共33页
作者
Barros Vanessa; Rousseau Jerome;
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作者单位

UniLaSalle Ecole Metiers Environm Campus Ker Lann 12 Ave Robert Schuman F-35170 Bruz France;

Univ Porto Fac Ciencias Dept Matemat Rua Campo Alegre 687 P-4169007 Porto Portugal;

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正文语种 eng
中图分类理论物理学;
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2. HAUSDORFF DIMENSION OF GENERALIZED STATISTICALLY SELF-AFFINE FRACTALS [J] . 余旌胡, 丁立新数学物理学报（英文版） . 2004,第003期
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Shortest Distance Between Multiple Orbits and Generalized Fractal Dimensions

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