Titlebook: Basic ergodic theory; M. G. Nadkarni Book 2013Latest edition Hindustan Book Agency (India) 2013

evaculate

Keshan-disease

绅士

mosque

Toponyms in Arabia, Syria, and Mesopotamia,sm on ., where . denotes the . ideal generated by the class of sets in . wandering under .,(See Chapter 1). This map was given the name “induced transformation” (“induced automorphism”) by S. Kakutani who also studied its properties and used it to define a new kind of equivalence among the measure p

严厉批评

cultivated

motor-unit

饮料

Theil’s Work History and Biographical DataLet . be a non-empty set. A .-algebra . on . is a non-empty collection of subsets of . which is closed under countable unions and complements. A set together with a .-algebra . is called a Borel space or a Borel structure (., .).

Coeval

barium-study

Theil’s Work History and Biographical DataA measure preserving Borel automorphism . on a probability space (., ., .) is said to be ergodic if for every . ∈ . invariant under ., .(.) = 0 or .(. − .) = 0.