Dynamics, Statistics and Projective Geometry of Galois Fields

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ISBN: 9780521872003 | 0521872006
Cover: Hardcover
Copyright: 1/17/2011

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V. I. Arnold reveals some unexpected connections between such apparently unrelated theories as Galois fields, dynamical systems, ergodic theory, statistics, chaos and the geometry of projective structures on finite sets. The author blends experimental results with examples and geometrical explorations to make these findings accessible to a broad range of mathematicians, from undergraduate students to experienced researchers.

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Preface
What is a Galois field?
The organisation and tabulation of Galois fields
Chaos and randomness in Galois field tables
Equipartition of geometric progressions along a finite one-dimensional torus
Adiabatic study of the distribution of geometric progressions of residues
Projective structures generated by a Galois field
Projective structures: example calculations
Cubic field tables
Index
Table of Contents provided by Publisher. All Rights Reserved.

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Dynamics, Statistics and Projective Geometry of Galois Fields

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