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УМН, 1972, том 27, выпуск 4(166), страницы 21–64 (Mi umn5083)  

Эта публикация цитируется в 302 научных статьях (всего в 304 статьях)

Гиббсовские меры в эргодической теории

Я. Г. Синай


Аннотация: В работе вводится понятие гиббсовской меры, которое представляет собой обобщение понятия равновесного распределения Гиббса в статистической физике. Новое понятие играет важную роль при изучении динамических систем Аносова. С помощью этого понятия строится широкий класс инвариантных мер для таких динамических систем, исследуется проблема существования инвариантной меры, совместимой с гладкой структурой на многообразии, поведение малых случайных возмущений при $\epsilon\to 0$. Случаи дискретного и непрерывного времени рассматриваются отдельно.

Полный текст: PDF файл (2403 kB)
Список литературы: PDF файл   HTML файл

Англоязычная версия:
Russian Mathematical Surveys, 1972, 27:4, 21–69

Реферативные базы данных:

УДК: 519.5+519.24
MSC: 37A35, 37A30, 37D20

Образец цитирования: Я. Г. Синай, “Гиббсовские меры в эргодической теории”, УМН, 27:4(166) (1972), 21–64; Russian Math. Surveys, 27:4 (1972), 21–69

Цитирование в формате AMSBIB
\RBibitem{Sin72}
\by Я.~Г.~Синай
\paper Гиббсовские меры в~эргодической теории
\jour УМН
\yr 1972
\vol 27
\issue 4(166)
\pages 21--64
\mathnet{http://mi.mathnet.ru/umn5083}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=399421}
\zmath{https://zbmath.org/?q=an:0246.28008}
\transl
\jour Russian Math. Surveys
\yr 1972
\vol 27
\issue 4
\pages 21--69
\crossref{https://doi.org/10.1070/RM1972v027n04ABEH001383}


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