Correlated Random Systems: Five Different Methods CIRM Jean-Morlet C

This volume presents five different methods recently developed to tackle the large scale behavior of highly correlated random systems, such as spin glasses, random polymers, local times and loop soups and random matrices. These methods, presented in a ser

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Véronique Gayrard Nicola Kistler Editors

Correlated Random Systems: Five Different Methods CIRM Jean-Morlet Chair, Spring 2013

Lecture Notes in Mathematics Editors-in-Chief: J.-M. Morel, Cachan B. Teissier, Paris Advisory Board: Camillo De Lellis, Zurich Mario di Bernardo, Bristol Alessio Figalli, Austin Davar Khoshnevisan, Salt Lake City Ioannis Kontoyiannis, Athens Gabor Lugosi, Barcelona Mark Podolskij, Aarhus Sylvia Serfaty, Paris and NY Catharina Stroppel, Bonn Anna Wienhard, Heidelberg

More information about this series at http://www.springer.com/series/304

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The CIRM Jean-Morlet Series is a collection of scientific publications centering on the themes developed by successive holders of the Jean Morlet Chair. This chair has been hosted by the Centre International de Rencontres Mathématiques (CIRM, Luminy, France) since its creation in 2013. The Chair is named in honour of Jean Morlet (1931–2007). He was an engineer at the French oil company Elf (now Total) and, together with the physicist Alex Grossman, conducted pioneering work in wavelet analysis. This theory has since become a building block of modern mathematics. It was at CIRM that they met on several occasions, and the center then played host to some of the key conferences in this field. Appointments to the Jean-Morlet Chair are made to worldclass researchers based outside France and who work in collaboration with local project leaders in order to conduct original and ambitious scientific programs.The Chair is supported financially by CIRM, Aix-Marseille Université and the City of Marseille. A key feature of the Chair is that it does not focus solely on the research themes developed by Jean Morlet. The idea is to support the freedom of pioneers in mathematical sciences and to nurture the enthusiasm that comes from opening new avenues of research.

CIRM: a beacon for international cooperation Situated at the heart of the Parc des Calanques, an area of outstanding natural beauty, CIRM is one of the largest conference centers dedicated to mathematical and related sciences in the world, with close to 3500 visitors per year. Jointly supervised by SMF (the French Mathematical Society) and CNRS (French National Center for Scientific Research), CIRM has been a hub for international research in mathematics since 1981. CIRM’s raison d’être is to be a venue that fosters exchanges, pioneering research in mathematics in interaction with other sciences and the dissemination of knowledge to the younger scientific community

www.chairejeanmorlet.com www.cirm-math.fr

Véronique Gayrard • Nicola Kistler Editors

Correlated Random Systems: Five Different Methods CIRM Jean-Morlet Chair, Spring 2013

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Editors Véronique Gayrard Institut de Mathématiques de Marseille Aix-Marseille Université CNRS Marseille Cedex 13 France

ISSN 0075-8434 Lecture Notes in Mathematics ISBN 978-3-319-17673-4 DOI 10.1007/978-3-319-17674-1

Nicola Kistler Institut fRur Mathematik Goethe-UniversitRat Frankfurt Frankfurt am Main Germany

ISSN 1617-9692

(electronic)

ISBN 978-3-319-176