Large Deviations in Physics The Legacy of the Law of Large Numbers

This book reviews the basic ideas of the Law of Large Numbers with its consequences to the deterministic world and the issue of ergodicity. Applications of Large Deviations and their outcomes to Physics are surveyed. The book covers topics encompassing er

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Angelo Vulpiani Fabio Cecconi Massimo Cencini Andrea Puglisi Davide Vergni Editors

Large Deviations in Physics The Legacy of the Law of Large Numbers

Lecture Notes in Physics Volume 885

Founding Editors W. Beiglböck J. Ehlers K. Hepp H. Weidenmüller Editorial Board B.-G. Englert, Singapore, Singapore P. Hänggi, Augsburg, Germany W. Hillebrandt, Garching, Germany M. Hjorth-Jensen, Oslo, Norway R.A.L. Jones, Sheffield, UK M. Lewenstein, Barcelona, Spain H. von Löhneysen, Karlsruhe, Germany M.S. Longair, Cambridge, UK J.-F. Pinton, Lyon, France J.-M. Raimond, Paris, France A. Rubio, Donostia, San Sebastian, Spain M. Salmhofer, Heidelberg, Germany S. Theisen, Potsdam, Germany D. Vollhardt, Augsburg, Germany J.D. Wells, Geneva, Switzerland

For further volumes: http://www.springer.com/series/5304

The Lecture Notes in Physics The series Lecture Notes in Physics (LNP), founded in 1969, reports new developments in physics research and teaching-quickly and informally, but with a high quality and the explicit aim to summarize and communicate current knowledge in an accessible way. Books published in this series are conceived as bridging material between advanced graduate textbooks and the forefront of research and to serve three purposes:

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Angelo Vulpiani • Fabio Cecconi • Massimo Cencini • Andrea Puglisi • Davide Vergni Editors

Large Deviations in Physics The Legacy of the Law of Large Numbers

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Editors Angelo Vulpiani Dipartimento di Fisica Università di Roma Sapienza Roma Italy

Fabio Cecconi Massimo Cencini Andrea Puglisi Istituto Sistemi Complessi Consiglio Nazionale delle Ricerche Roma Italy

Davide Vergni Istituto per le Applicazioni del Calcolo Consiglio Nazionale delle Ricerche Roma Italy

ISSN 0075-8450 ISSN 1616-6361 (electronic) Lecture Notes in Physics ISBN 978-3-642-54250-3 ISBN 978-3-642-54251-0 (eBook) DOI 10.1007/978-3-642-54251-0 Springer Heidelberg New York Dordrecht London Library of Congress Control Number: 2014940148