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The arithmetic of dynamical systems

Author: Joseph H Silverman
Publisher: New York : Springer, 2007.
Series: Graduate texts in mathematics, 241.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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 points under repeated application of a polynomial or rational function. A principal theme of arithmetic dynamics is that  Read more...
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Details

Genre/Form: Electronic books
Lehrbuch
Manuels d'enseignement supérieur
Additional Physical Format: Print version:
Silverman, Joseph H., 1955-
Arithmetic of dynamical systems.
New York : Springer, 2007
(DLC) 2007923502
(OCoLC)124038265
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Joseph H Silverman
ISBN: 9780387699042 038769904X
OCLC Number: 655862555
Description: 1 online resource (ix, 511 pages) : illustrations.
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.
Series Title: Graduate texts in mathematics, 241.
Responsibility: Joseph H. Silverman.
More information:

Abstract:

Arithmetic dynamics is the study of the number-theoretic properties of rational and algebraic points under repeated application of a polynomial or rational function. This book presents an  Read more...

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From the reviews:"The connections between dynamical systems and number theory arise in many different ways. ... This remarkable book unifies and clarifies one of these connections, in the setting of Read more...

 
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