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The Octogonal Pets Surv 197
Richard Evan Schwartz
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Description for The Octogonal Pets Surv 197
Hardback. Series: Mathematical Surveys and Monographs. Num Pages: 211 pages, illustrations. BIC Classification: PBM. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 254 x 178. .
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2014
Publisher
American Mathematical Society United States
Number of pages
211
Condition
New
Series
Mathematical Surveys and Monographs
Number of Pages
211
Place of Publication
Providence, United States
ISBN
9781470415228
SKU
V9781470415228
Shipping Time
Usually ships in 5 to 9 working days
Ref
99-3
About Richard Evan Schwartz
Richard Evan Schwartz, Brown University, Providence, RI, USA
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