The Octagonal PETs is popular PDF and ePub book, written by Richard Evan Schwartz in 2014-07-03, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, The Octagonal PETs can be Read Online from any device for your convenience.
The Octagonal PETs Book PDF Summary
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 Teichmüller 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.
Detail Book of The Octagonal PETs PDF
- Author : Richard Evan Schwartz
- Release : 03 July 2014
- Publisher : American Mathematical Soc.
- ISBN : 9781470415228
- Genre : Mathematics
- Total Page : 226 pages
- Language : English
- PDF File Size : 12,5 Mb
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