Over 10 mio. titler Fri fragt ved køb over 499,- Hurtig levering Forlænget returret til 31/01/25

Octagonal PETs

  • Format
  • E-bog, PDF
  • 212 sider
E-bogen er DRM-beskyttet og kræver et særligt læseprogram

Beskrivelse

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 Teichmueller 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.

Læs hele beskrivelsen
Detaljer

Findes i disse kategorier...

Se andre, der handler om...

Machine Name: SAXO084