Fractal Geometry and Stochastics V

This book brings together leading contributions from the fifth conference on Fractal Geometry and Stochastics held in Tabarz, Germany, in March 2014.The book is divided into five sections covering different facets of this fast developing area: geometric m

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Christoph Bandt Kenneth Falconer Martina Zähle Editors

Fractal Geometry and Stochastics V

Progress in Probability Volume 70

Series Editors Davar Khoshnevisan Andreas E. Kyprianou Sidney I. Resnick

More information about this series at http://www.springer.com/series/4839

Christoph Bandt • Kenneth Falconer • Martina Zähle Editors

Fractal Geometry and Stochastics V

Editors Christoph Bandt Institut für Mathematik und Informatik Universität Greifswald Greifswald, Germany

Kenneth Falconer Mathematical Institute University of St Andrews St Andrews, United Kingdom

Martina Zähle Institut für Mathematik Friedrich-Schiller-Universität Jena Jena, Germany

ISSN 1050-6977 Progress in Probability ISBN 978-3-319-18659-7 DOI 10.1007/978-3-319-18660-3

ISSN 2297-0428

(electronic)

ISBN 978-3-319-18660-3

(eBook)

Library of Congress Control Number: 2015944516 Mathematics Subject Classification (2010): Primary: 28A80, 28A78, 28A75; Secondary: 37A, 37C, 60J, 60F, 60D, 37-06, 60-06 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2015 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 Springer International Publishing AG Switzerland is part of Springer Science+Business Media (www.birkhauser-science.com)

Preface

The first conference of the series “Fractal Geometry and Stochastics,” which took place in 1994, was the first meeting in Europe devoted to the mathematics of fractals. Since then, fractal structures and techniques have become well-established in many fields of mathematics, and conferences in the area have been organized in many countries. Held every 4 or 5 years, “Fractal Geometry and Stochastics” has continued to be a leading meeting in the field, gathering together the world’s experts to discuss current developments, new trends, and open problems. For each of these conferences, the main contributions have been published by Birkhaeuser in their series Progress in Probability. “Fractal Geometry and