NSF/CBMS Regional Conference in the Mathematical Sciences on Ergodic Methods in the Theory of Fractals, held at Kent State University, June 18–23, 2011 2010 Mathematics Subject Classification. Primary 28A80, 37A30 Secondary 30D05, 37F45, 47A35. For additional information and updates on this book, visit www.ams.org/bookpages/cbms-120 Library of Congress Cataloging-in-Publication Data Furstenberg, Harry. Ergodic theory and fractal geometry / Hillel Furstenberg. pages cm. (Conference Board of the Mathematical Sciences Regional Conference series in mathematics number 120) “Support from the National Science Foundation.” “NSF-CBMS Regional Conference in the Mathematical Sciences on Ergodic Methods in the Theory of Fractals, held at Kent State University, June 18–23, 2011.” Includes bibliographical references and index. ISBN 978-1-4704-1034-6 (alk. paper) 1. Ergodic theory—Congresses. 2. Fractals—Congresses. I. Conference Board of the Math- ematical Sciences. II. National Science Foundation (U.S.) III. Title. QA313.F87 2014 515 .48—dc23 2014010556 Copying and reprinting. Individual readers of this publication, and nonprofit libraries acting for them, are permitted to make fair use of the material, such as to copy a chapter for use in teaching or research. Permission is granted to quote brief passages from this publication in reviews, provided the customary acknowledgment of the source is given. Republication, systematic copying, or multiple reproduction of any material in this publication is permitted only under license from the American Mathematical Society. Requests for such permission should be addressed to the Acquisitions Department, American Mathematical Society, 201 Charles Street, Providence, Rhode Island 02904-2294 USA. Requests can also be made by e-mail to reprint-permission@ams.org. c 2014 by the American Mathematical Society. All rights reserved. The American Mathematical Society retains all rights except those granted to the United States Government. Printed in the United States of America. The paper used in this book is acid-free and falls within the guidelines established to ensure permanence and durability. Visit the AMS home page at http://www.ams.org/ 10 9 8 7 6 5 4 3 2 1 19 18 17 16 15 14
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