Abstract: In this graduate thesis we are examining the classical Birkhoff-Hincin ergodic theorem and the mathematical framework surrounding it. We are also defining ergodic stationary processes and giving the proof for the version of the ergodic theorem concerning those processes. Subadditive ergodic theorem, which is a generalization of the previously mentioned theorems, is given along with its proof and the applications of ergodic theorems are shown on several examples.
Publication Year: 2016
Publication Date: 2016-09-27
Language: en
Type: dissertation
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