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An Introduction to Arithmetic Dynamics and Lattès Maps

Olszewski, Jerzy (2024) An Introduction to Arithmetic Dynamics and Lattès Maps. Bachelor's Thesis, Mathematics.

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Abstract

Arithmetic Dynamics is a relatively new field of study which combines the ideas of arithmetic and dynamics. It is concerned with rephrasing results and problems of arithmetic in the language of dynamical systems as well as giving number theoretic meaning to concepts in dynamics. In this text we give a brief introduction to arithmetic dynamics, presents results relating both fields of study and discuss the Lattès example with generalization to the surface given by two elliptic curves.

Item Type: Thesis (Bachelor's Thesis)
Supervisor name: Salgado Guimaraes da Silva, C. and Top, J.
Degree programme: Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 01 Aug 2024 10:25
Last Modified: 01 Aug 2024 10:25
URI: https://fse.studenttheses.ub.rug.nl/id/eprint/33793

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