Growth and integrability in multi-valued dynamics

This thesis is focused on the problem of growth and integrability in multi-valued dynamics generated by $SL_2 (\mathbb{Z})$ actions. An important example is given by Markov dynamics on the cubic surface $$x^2+ y^2 +z^2 = 3xyz,$$ generating all the integer solutions of this celebrated Diophantine equ...

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Bibliographic Details
Main Author: Kathryn Spalding
Format: Default Thesis
Published: 2018
Subjects:
Other mathematical sciences not elsewhere classified
Lyapunov exponents
Modular group
Continued fractions
Markov numbers
Binary forms
Mathematical Sciences not elsewhere classified
Online Access:https://hdl.handle.net/2134/33483
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