The Arithmetic of Dynamical Systems

• Κύριος συγγραφέας: Silverman, Joseph H. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2007.
• Σειρά: Graduate Texts in Mathematics, 241
• Θέματα: Mathematics.; Data structures (Computer science).; Dynamics.; Ergodic theory.; Dynamical Systems and Ergodic Theory.; Data Structures.

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...

Πίνακας περιεχομένων:

• 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.