Panoramas et Synthèses 2006; 142 pp; softcover Number: 21 ISBN10: 2856292208 ISBN13: 9782856292204 List Price: US$52 Member Price: US$41.60 Order Code: PASY/21
 This volume deals with the dynamics of areapreserving surface diffeomorphisms. In dimension 2, some specific mathematical tools are available. In addition, the authors present several approaches and some applications. In particular, they try to show how the geometrical theory of dynamical systems, the group theory, the hydrodynamics and the plane topology interact. 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 conservative dynamical systems, diffeomorphism, periodic orbits, and surface diffeomorphisms. Table of Contents  S. Crovisier  Perturbation of \(C^1\)diffeomorphisms and generic conservative dynamics on surfaces
 J. Franks  Distortion in groups of circle and surface diffeomorphisms
 J.M. Gambaudo  Knots, flows, and fluids
 P. Le Calvez  Identity isotopies on surfaces
