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L'ensemble de Rotation Autour d'un Point Fixe
Frédéric Le Roux, Université Paris Sud, Orsay, France
A publication of the Société Mathématique de France.
cover
Astérisque
2013; 109 pp; softcover
Number: 350
ISBN-13: 978-2-85629-366-9
List Price: US$52
Member Price: US$41.60
Order Code: AST/350
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A note to readers: This book is in French.

Given a fixed point for a surface homeomorphism, one can define a rotation set around this fixed point, which is a conjugacy invariant. The author initiates the study of this invariant. In particular, he explores the links with other dynamical properties such as the existence of periodic orbits, the differentiability at the fixed point, the Poincaré-Lefschetz index when the fixed point is isolated.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

Readership

Graduate students and research mathematicians interested in surface homeomorphism, rotation numbers, and periodical orbits.

Table of Contents

  • Le nombre de rotation, du cercle aux surfaces
  • L'ensemble de rotation autour d'un point fixe
  • Quand ça tourne ...
  • ... et quand ça ne tourne pas
  • Épilogue: le théorème des trois-quatre points fixes
  • Bibliographie
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