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УМН, 1977, том 32, выпуск 4(196), страницы 55–112 (Mi umn3219)  

Эта публикация цитируется в 446 научных статьях (всего в 448 статьях)

Характеристические показатели Ляпунова и гладкая эргодическая теория

Я. Б. Песин


Аннотация: Изучаются эргодические свойства гладких динамических систем на гладких компактных римановых мноообразиях, сохраняющих данную нормированную меру, совместимую с гладкостью (т.е. эквивалентную риманову объему). Изучаются такие эргодические свойства, как наличие эргодической компоненты положительной меры, положительность, энтропии и $K$-свойство и бернуллиевское свойство.
Библ. 48 назв.

Полный текст: PDF файл (6468 kB)
Список литературы: PDF файл   HTML файл

Англоязычная версия:
Russian Mathematical Surveys, 1977, 32:4, 55–114

Реферативные базы данных:

УДК: 519.9
MSC: 37C40, 37A35, 37H15, 37D40
Поступила в редакцию: 12.03.1976

Образец цитирования: Я. Б. Песин, “Характеристические показатели Ляпунова и гладкая эргодическая теория”, УМН, 32:4(196) (1977), 55–112; Russian Math. Surveys, 32:4 (1977), 55–114

Цитирование в формате AMSBIB
\RBibitem{Pes77}
\by Я.~Б.~Песин
\paper Характеристические показатели Ляпунова и гладкая
эргодическая теория
\jour УМН
\yr 1977
\vol 32
\issue 4(196)
\pages 55--112
\mathnet{http://mi.mathnet.ru/umn3219}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=466791}
\zmath{https://zbmath.org/?q=an:0359.58010|0383.58011}
\transl
\jour Russian Math. Surveys
\yr 1977
\vol 32
\issue 4
\pages 55--114
\crossref{https://doi.org/10.1070/RM1977v032n04ABEH001639}


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