shop by
Category
items
0 

Outer Billiards on Kites (Paperback)

Customer Reviews   Write a Review

Be the first to review this item and earn 25 Rakuten Super Points™

Product Overview

Outer billiards is a basic dynamical system defined relative to a convex shape in the plane. B. H. Neumann introduced this system in the 1950s, and J. Moser popularized it as a toy model for celestial mechanics. All along, the so-called Moser-Neumann question has been one of the central problems in the field. This question asks whether or not one can have an outer billiards system with an unbounded orbit. The Moser-Neumann question is an idealized version of the question of whether, because of small disturbances in its orbit, the Earth can break out of its orbit and fly away from the Sun. InOuter Billiards on Kites, Richard Schwartz presents his affirmative solution to the Moser-Neumann problem. He shows that an outer billiards system can have an unbounded orbit when defined relative to any irrational kite. A kite is a quadrilateral having a diagonal that is a line of bilateral symmetry. The kite is irrational if the other diagonal divides the quadrilateral into two triangles whose areas are not rationally related. In addition to solving the basic problem, Schwartz relates outer billiards on kites to such topics as Diophantine approximation, the modular group, self-similar sets, polytope exchange maps, profinite completions of the integers, and solenoids--connections that together allow for a fairly complete analysis of the dynamical system.

Specifications

Publisher Princeton Univ Pr
Mfg Part# 9780691142494
SKU 211948761
Format Paperback
ISBN10 0691142491
Release Date 8/13/2012
Product Attributes
Book Format Paperback
Number of Pages 0306
Publisher Princeton University Press
Series Part 171
loading
Sold Out
Sorry, you missed the deal!
This product is currently not available.
ADVERTISEMENT
Promotions & Offers (1)
  •  custom promo
    5% Back* Sitewide with Promo Code Rewardme *See page for details
ADVERTISEMENT
ADVERTISEMENT