Camprubí Bonet, Miquel (2024) Extreme Value Laws for the Tent Map via Fibonacci-like Sequences. Bachelor's Thesis, Mathematics.
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Abstract
The present paper provides an alternative proof of an Extreme Value Law for a stochastic process obtained by iterating the tent map, originally established by George Haiman (2003). The proof closely follows the methodology employed by N.B. Boer and A.E. Sterk (2021) in their work on a similar result for the Rényi map. This approach not only gives an alternative proof of the original theorem but also extends the understanding of connections between extreme value laws and recursive sequences in dynamical systems.
| Item Type: | Thesis (Bachelor's Thesis) |
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| Supervisor name: | Sterk, A.E. and Jardon Kojakhmetov, H. |
| Degree programme: | Mathematics |
| Thesis type: | Bachelor's Thesis |
| Language: | English |
| Date Deposited: | 10 Dec 2024 07:16 |
| Last Modified: | 10 Dec 2024 07:16 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/34479 |
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