£88.50

The Octogonal Pets: 197 (Mathematical Surveys and Monographs)

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£88.50 £63.76 £69.16 £74.56 £79.95 £85.35 £90.75 21 June 2024 22 November 2024 26 April 2025 27 September 2025 01 March 2026

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Description

About the Author Richard Evan Schwartz, Brown University, Providence, RI, USA Product Description A polytope exchange transformation is a (discontinuous) map from a polytope to itself that is a translation wherever it is defined. The 1-dimensional examples, interval exchange transformations, have been studied fruitfully for many years and have deep connections to other areas of mathematics, such as Teichmuller theory. This book introduces a general method for constructing polytope exchange transformations in higher dimensions and then studies the simplest example of the construction in detail. The simplest case is a 1-parameter family of polygon exchange transformations that turns out to be closely related to outer billiards on semi-regular octagons. The 1-parameter family admits a complete renormalization scheme, and this structure allows for a fairly complete analysis both of the system and of outer billiards on semi-regular octagons. The material in this book was discovered through computer experimentation. On the other hand, the proofs are traditional, except for a few rigorous computer-assisted calculations.

Product Specifications

Format
Hardcover
Domain
Amazon UK
Release Date
30 July 2014
Listed Since
13 May 2014

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