Name: heights of polynomials and entropy in algebraic dynamics (en Inglés)
Price: 266042.00 COP
Availability: InStock
Author: Everest, Graham ; Ward, Thomas
ISBN: 9781849968546

portada heights of polynomials and entropy in algebraic dynamics (en Inglés)

Formato

Libro Físico

Autor

Thomas Ward

Graham Everest

Editorial

Springer

Año

2010

Idioma

Inglés

N° páginas

212

Encuadernación

Tapa Blanda

Dimensiones

23.4 x 15.6 x 1.2 cm

Peso

0.32 kg.

ISBN

1849968543

ISBN13

9781849968546

Categorías

Algebra
Teoría de números
Geometría algebraica

heights of polynomials and entropy in algebraic dynamics (en Inglés)

Thomas Ward (Autor) · Graham Everest (Autor) · Springer · Tapa Blanda

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Reseña del libro "heights of polynomials and entropy in algebraic dynamics (en Inglés)"

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.