推 facebooker:就除以1的餘數 07/04 17:12
Period Case .
m
Let Ω be the unit cube {ωin R such that |ω |≦1}
j
The relation T(x)ω=ω+x (mod1)defines a dynamical system on Ω.
The Lebesgue measure is invariant and ergodic with respect to this system;
2
a realization of the function f(ω) in L (Ω) has the form f(x+ω)
m
這邊對於每一個x in R T(x) :Ω->Ω是一個 m-dim 的dynamical system.
(Ω,μ)是一個 probability space.
想請教的就是像這邊的mod，是用什麼樣的方法來定義的，
同樣的疑問還有下面這個連結：
constant (mod 0)
http://books.google.com.tw/books?id=XJDBxyHrL2YC&pg=
PA73&lpg=PA73&dq=constant+mod0&source=bl&ots=LYe43dD
zeB&sig=NA0yYdC2W3I8a3mNSRlDbi31M_Y&hl=zh-TW&ei=c8pO
SqPyJoLg7AOIhL3-Aw&sa=X&oi=book_result&ct=result&resnum=1
縮址：
http://tinyurl.com/nbxmlh
http://preview.tinyurl.com/nbxmlh
裡面的Prop4.3.1
麻煩各位有研究 Ergodic system的大大了><~~
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