Analysis and Geometry of Markov Diffusion Operators
The present volume is an extensive monograph on the analytic and geometric aspects of Markov diffusion operators. It focuses on the geometric curvature properties of the underlying structure in order to study convergence to equilibrium, spectral bounds, f
- PDF / 5,100,384 Bytes
- 555 Pages / 441 x 666 pts Page_size
- 21 Downloads / 219 Views
Series editors M. Berger P. de la Harpe N.J. Hitchin A. Kupiainen G. Lebeau F.-H. Lin S. Mori B.C. Ngô M. Ratner D. Serre N.J.A. Sloane A.M. Vershik M. Waldschmidt Editor-in-Chief A. Chenciner J. Coates
S.R.S. Varadhan
348
For further volumes: www.springer.com/series/138
Dominique Bakry r Ivan Gentil r Michel Ledoux
Analysis and Geometry of Markov Diffusion Operators
Dominique Bakry Institut de Mathématiques de Toulouse Université de Toulouse and Institut Universitaire de France Toulouse, France
Michel Ledoux Institut de Mathématiques de Toulouse Université de Toulouse and Institut Universitaire de France Toulouse, France
Ivan Gentil Institut Camille Jordan Université Claude Bernard Lyon 1 Villeurbanne, France
ISSN 0072-7830 ISSN 2196-9701 (electronic) Grundlehren der mathematischen Wissenschaften ISBN 978-3-319-00226-2 ISBN 978-3-319-00227-9 (eBook) DOI 10.1007/978-3-319-00227-9 Springer Cham Heidelberg New York Dordrecht London Library of Congress Control Number: 2013952461 Mathematics Subject Classification: 39B62, 39B72, 47D07, 53C21 © Springer International Publishing Switzerland 2014 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
How far can you go with the Cauchy-Schwarz inequality and integration by parts?
To Leonard Gross
Preface
Semigrou
Data Loading...
