Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Barreira L., Doutor P. — Birkhoff Averages for Hyperbolic Flows: Variational Principles and Applications
Barreira L., Doutor P. — Birkhoff Averages for Hyperbolic Flows:  Variational Principles and Applications



Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Birkhoff Averages for Hyperbolic Flows: Variational Principles and Applications

Авторы: Barreira L., Doutor P.

Аннотация:

We establish a higher-dimensional version of multifractal analysis for hyperbolic flows. This means that we consider simultaneously the level sets of several Birkhoff averages. Examples are the Lyapunov exponents as well as the pointwise dimension and the local entropy of a given measure. More precisely, we consider multifractal spectra associated to multi-dimensional parameters, obtained by computing the entropy of the level sets associated to the Birkhoff averages. We also consider the more general class of flows with upper semicontinuous metric entropy. The multifractal analysis is obtained here from a variational principle for the topological entropy of the level sets, showing that their topological entropy can be arbitrarily approximated by the entropy of ergodic measures. This principle unifies many results. An analogous principle holds for the Hausdorff dimension. The applications include the study of the regularity of the spectra, the description of how these vary under small perturbations, and the detailed study of the finer structure. The higher-dimensional spectra also exhibit new nontrivial phenomena absent in the one-dimensional multifractal analysis.


Язык: en

Рубрика: Физика/

Тип: Статья

Статус предметного указателя: Неизвестно

ed2k: ed2k stats

Год издания: 2004

Количество страниц: 37

Добавлена в каталог: 03.11.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2022
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте