Shortest Distance Between Multiple Orbits and Generalized Fractal Dimensions
نویسندگان
چکیده
We consider rapidly mixing dynamical systems and link the decay of shortest distance between multiple orbits with generalized fractal dimension. apply this result to multidimensional expanding maps extend it realm random systems. For sequences, we obtain a relation longest common substring sequences Rényi entropy. Applications Markov chains Gibbs states are given.
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ژورنال
عنوان ژورنال: Annales Henri Poincaré
سال: 2021
ISSN: ['1424-0661', '1424-0637']
DOI: https://doi.org/10.1007/s00023-021-01039-y