Ilya Schurov: 1 версия

2012-10-24T23:01:35Z

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Victor Kleptsyn: Новая страница: «'''Random conservative cylinder maps''' ''Юрий Лима'' A theorem of Kakutani gives necessary and sufficient conditions for ergodicity of a probability me…»

2012-09-16T18:27:40Z

Новая страница: «'''Random conservative cylinder maps''' ''Юрий Лима'' A theorem of Kakutani gives necessary and sufficient conditions for ergodicity of a probability me…»

Новая страница

'''Random conservative cylinder maps'''

''Юрий Лима''

A theorem of Kakutani gives necessary and sufficient conditions for
ergodicity of a probability measure-preserving random dynamical
system. If the condition of finiteness of the measure is dropped, then
the result is no longer true.

There is, however, a large class of conservative maps of the
cylinders, given by R-extensions of a same probability
measure-preserving transformation, where the theorem remains true. We
will discuss this class and prove that, in this context, Kakutani's
theorem indeed remains valid. If time permits, we also discuss the
statistical properties of the Birkhoff sums. Joint work with Patricia
Cirilo and Enrique Pujals.

Доклад:21.9.2012 - История изменений

Ilya Schurov: 1 версия

Victor Kleptsyn: Новая страница: «'''Random conservative cylinder maps''' ''Юрий Лима'' A theorem of Kakutani gives necessary and sufficient conditions for ergodicity of a probability me…»