Graham Everest

(Author)

Heights of Polynomials and Entropy in Algebraic DynamicsPaperback, 19 October 2010

Heights of Polynomials and Entropy in Algebraic Dynamics
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Part of Series
Universitext
Print Length
212 pages
Language
English
Publisher
Springer
Date Published
19 Oct 2010
ISBN-10
1849968543
ISBN-13
9781849968546

Description

Arithmetic geometry and algebraic dynamical systems are flourishing areas of mathematics. Both subjects have highly technical aspects, yet both of- fer a rich supply of down-to-earth examples. Both have much to gain from each other in techniques and, more importantly, as a means for posing (and sometimes solving) outstanding problems. It is unlikely that new graduate students will have the time or the energy to master both. This book is in- tended as a starting point for either topic, but is in content no more than an invitation. We hope to show that a rich common vein of ideas permeates both areas, and hope that further exploration of this commonality will result. Central to both topics is a notion of complexity. In arithmetic geome- try 'height' measures arithmetical complexity of points on varieties, while in dynamical systems 'entropy' measures the orbit complexity of maps. The con- nections between these two notions in explicit examples lie at the heart of the book. The fundamental objects which appear in both settings are polynomi- als, so we are concerned principally with heights of polynomials. By working with polynomials rather than algebraic numbers we avoid local heights and p-adic valuations.

Product Details

Authors:
Graham EverestThomas Ward
Book Format:
Paperback
Country of Origin:
NL
Date Published:
19 October 2010
Dimensions:
23.39 x 15.6 x 1.22 cm
ISBN-10:
1849968543
ISBN-13:
9781849968546
Language:
English
Location:
London
Pages:
212
Publisher:
Weight:
322.05 gm

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