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УМН, 1991, том 46, выпуск 4(280), страницы 43–92 (Mi umn4629)  

Эта публикация цитируется в 113 научных статьях (всего в 114 статьях)

Статистические свойства двумерных гиперболических биллиардов

Л. А. Бунимовичa, Я. Г. Синайb, Н. И. Черновc

a Институт океанологии им. П. П. Ширшова РАН
b Институт теоретической физики им. Л. Д. Ландау РАН
c Объединенный институт ядерных исследований

Аннотация: В работе исследованы статистические свойства биллиардных динамических систем на плоскости, обладающих гиперболическим поведением: рассеивающих, полурассеивающих, фокусирующих биллиардов типа “стадиона” и др. Доказана центральная предельная теорема и оценена скорость убывания корреляций. Исследована диффузия в периодическом газе Лоренца с “конечным горизонтом”.
Библиогр. 36 назв.

Полный текст: PDF файл (3379 kB)
Список литературы: PDF файл   HTML файл

Англоязычная версия:
Russian Mathematical Surveys, 1991, 46:4, 47–106

Реферативные базы данных:

УДК: 517.53/57
MSC: 37D50, 60Jxx, 60F05
Поступила в редакцию: 25.04.1991

Образец цитирования: Л. А. Бунимович, Я. Г. Синай, Н. И. Чернов, “Статистические свойства двумерных гиперболических биллиардов”, УМН, 46:4(280) (1991), 43–92; Russian Math. Surveys, 46:4 (1991), 47–106

Цитирование в формате AMSBIB
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\paper Статистические свойства двумерных гиперболических биллиардов
\jour УМН
\yr 1991
\vol 46
\issue 4(280)
\pages 43--92
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\transl
\jour Russian Math. Surveys
\yr 1991
\vol 46
\issue 4
\pages 47--106
\crossref{https://doi.org/10.1070/RM1991v046n04ABEH002827}
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