arXiv Open Access 2022

Orbits closeness for slowly mixing dynamical systems

Jerome Rousseau Mike Todd

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Abstrak

Given a dynamical system, we prove that the shortest distance between two $n$-orbits scales like $n$ to a power even when the system has slow mixing properties, thus building and improving on results of Barros, Liao and the first author. We also extend these results to flows. Finally, we give an example for which the shortest distance between two orbits has no scaling limit.

Topik & Kata Kunci

math.DS

Penulis (2)

Jerome Rousseau

Mike Todd

Format Sitasi

APA MLA BibTeX

Rousseau, J., Todd, M. (2022). Orbits closeness for slowly mixing dynamical systems. https://arxiv.org/abs/2209.06594

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓