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Birkhoff’s Ergodic Theorem
| Content Provider | Semantic Scholar |
|---|---|
| Copyright Year | 2016 |
| Abstract | In this paper we will introduce the theory of ergodic measurepreserving transformations of probability spaces. Along the way there will be several examples of such transformations. As a whole, this paper works towards the proof of a main ergodic theorem by Birkhoff. Lastly we apply Birkhoff’s Ergodic Theorem to the aforementioned examples to prove results in number theory and other fields. Most of the examples found in this paper are referenced from [1]. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.maths.manchester.ac.uk/~cwalkden/ergodic-theory/lecture21.pdf |
| Alternate Webpage(s) | http://math.uchicago.edu/~may/REU2016/REUPapers/Ran.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
