|
ИСТИНА |
Войти в систему Регистрация |
ИСТИНА ИНХС РАН |
||
Bohr chaoticity of topological dynamical systemsстатья
- Авторы: Fan A., Fan S., Ryzhikov V.V., Shen W.
- Сборник: arXiv.org - Mathematics
- Серия: arXiv.org - Mathematics
- Год издания: 2021
- Издательство: Cornell University Press
- Местоположение издательства: United States
- Номер статьи: arXiv:2103.04745
- Аннотация: We introduce the notion of Bohr chaoticity, which is a topological invariant for topological dynamical systems, and which is opposite to the property required by Sarnak's conjecture. We prove the Bohr chaoticity for all systems which have a horseshoe and for all toral affine dynamical systems of positive entropy, some of which don't have a horseshoe. But uniquely ergodic dynamical systems are not Bohr chaotic.
- Добавил в систему: Рыжиков Валерий Валентинович