Jump to ContentJump to Main Navigation
Show Summary Details

Schwartz, Richard Evan

The Plaid Model

(AMS-198)

Series:Annals of Mathematics Studies 361

PRINCETON UNIVERSITY PRESS

    269,95 € / $309.50 / £239.00*

    eBook (PDF)
    Publication Date:
    2019
    Copyright year:
    2019
    To be published:
    February 2019
    ISBN
    978-0-691-18899-7
    See all formats and pricing

    Overview

    Aims and Scope

    Outer billiards provides a toy model for planetary motion and exhibits intricate and mysterious behavior even for seemingly simple examples. It is a dynamical system in which a particle in the plane moves around the outside of a convex shape according to a scheme that is reminiscent of ordinary billiards. The Plaid Model, which is a self-contained sequel to Richard Schwartz’s Outer Billiards on Kites, provides a combinatorial model for orbits of outer billiards on kites.

    Schwartz relates these orbits to such topics as polytope exchange transformations, renormalization, continued fractions, corner percolation, and the Truchet tile system. The combinatorial model, called “the plaid model,” has a self-similar structure that blends geometry and elementary number theory. The results were discovered through computer experimentation and it seems that the conclusions would be extremely difficult to reach through traditional mathematics.

    The book includes an extensive computer program that allows readers to explore materials interactively and each theorem is accompanied by a computer demo.

    Details

    PRINCETON UNIVERSITY PRESS
    Language:
    English
    Readership:
    Professional and scholarly;College/higher education;

    MARC record

    MARC record for eBook

    More ...

    Richard Evan Schwartz is the Chancellor’s Professor of Mathematics at Brown University. He is the author of Spherical CR Geometry and Dehn Surgery and Outer Billiards on Kites (both Princeton).

    Comments (0)

    Please log in or register to comment.
    Log in