The arithmetic of dynamical systems

This book provides an introduction to the relatively new discipline of arithmetic dynamics. Whereas classical discrete dynamics is the study of iteration of self-maps of the complex plane or real line, arithmetic dynamics is the study of the number-theoretic properties of rational and algebraic poin...

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Bibliographic Details
Main Author: Silverman, Joseph H., 1955- author (author)
Format: eBook
Language:Inglés
Published: New York, NY : Springer New York 2007.
Edition:1st ed. 2007.
Series:Graduate Texts in Mathematics, 241
Subjects:
See on Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009456613206719
Table of Contents:
  • An Introduction to Classical Dynamics
  • Dynamics over Local Fields: Good Reduction
  • Dynamics over Global Fields
  • Families of Dynamical Systems
  • Dynamics over Local Fields: Bad Reduction
  • Dynamics Associated to Algebraic Groups
  • Dynamics in Dimension Greater Than One.