Counting Surfaces CRM Aisenstadt Chair lectures
The problem of enumerating maps (a map is a set of polygonal "countries" on a world of a certain topology, not necessarily the plane or the sphere) is an important problem in mathematics and physics, and it has many applications ranging from statistical p
- PDF / 6,334,553 Bytes
- 427 Pages / 439.42 x 683.15 pts Page_size
- 20 Downloads / 200 Views
Bertrand Eynard
Counting Surfaces CRM Aisenstadt Chair lectures
Progress in Mathematical Physics Volume 70
Editors-in-chief Anne Boutet de Monvel, Université Paris VII UFR de Mathematiques, Paris CX 05, France Gerald Kaiser, Center for Signals and Waves, Portland, Oregon, USA Editorial Board Sir M. Berry, University of Bristol, UK P. Blanchard, University of Bielefeld, Germany M. Eastwood, University of Adelaide, Australia A.S. Fokas, University of Cambridge, UK F.W. Hehl, University of Cologne, Germany and University of Missouri-Columbia, USA D. Sternheimer, Université de Bourgogne, Dijon, France C. Tracy, University of California, Davis, USA
More information about this series at http://www.springer.com/series/4813
Bertrand Eynard
Counting Surfaces CRM Aisenstadt Chair lectures
Bertrand Eynard CEA Saclay Institut de Physique Théorique (IPHT) Gif sur Yvette, France
ISSN 1544-9998 ISSN 2197-1846 (electronic) Progress in Mathematical Physics ISBN 978-3-7643-8796-9 ISBN 978-3-7643-8797-6 (eBook) DOI 10.1007/978-3-7643-8797-6 Library of Congress Control Number: 2016934704 Mathematics Subject Classification (2010): 05C10, 05C80, 14H60, 37K, 15B52 © Springer International Publishing Switzerland 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This book is published under the trade name Birkhäuser The registered company is Springer International Publishing AG Switzerland
To my wife Sandra To my children, Maève, Salomé, Thibault.
Preface
This book is based on several lectures that I gave at various places over the time, including IPHT CEA Saclay, CRM Montréal, Les Houches summer school, Barcelona (2007 school organized by the European Network on Random Geometry), Geneva University, and Chebyshev Laboratory in St Petersbourg, Russia. The largest part of the research presented in this book was pursued at the Institut de Physique Théorique CEA Saclay that hired me in 1995. A large part was also conducted at the Centre de Recherche Mathémat
Data Loading...
