Verwandte Artikel zu The Octagonal PETs (Mathematical Surveys and Monographs)
Reseña del editor
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.
Biografía del autor
Richard Evan Schwartz, Brown University, Providence, RI, USA
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- VerlagAmerican Mathematical Society
- Erscheinungsdatum2014
- ISBN 10 1470415224
- ISBN 13 9781470415228
- EinbandTapa dura
- Anzahl der Seiten211
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The Octogonal PETs (Volume 197)
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American Mathematical Society, 2014
ISBN 10: 1470415224
ISBN 13: 9781470415228
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Zustand: Good. Volume 197. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. Clean from markings. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,650grams, ISBN:9781470415228. Artikel-Nr. 8997029
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