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- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1879)
Part of the book sub series: École d'Été de Probabilités de Saint-Flour (LNMECOLE)
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Table of contents (17 chapters)
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Front Matter
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Back Matter
About this book
Reviews
From the reviews:
"The book consists mainly of materials for an advanced master course. … The book focusses on the modeling of mechanics, where the concept of a model shall be understood in its broadest sense, namely as a mathematical structure which describes mechanical phenomena. … A list of notations and an index are helpful to the reader. The little book with about 200 pages tackles many theories and concepts, without going much into detail." (Albrecht Bertram, Zentralblatt MATH, Vol. 1115 (17), 2007)
"This work is based on the author’s lectures on the lace expansion and its applications … . It contains the recent developments in the analysis of the lace expansion and the scaling limits of the critical objects discovered since the publication … . It also contains further applications of the lace expansion to other models and an extensive list of references. … The subject is still growing, and studying the lecture notes by Slade is a good starting point to learn the subject." (Akira Sakai, Mathematical Reviews, Issue 2007 m)
Authors, Editors and Affiliations
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Laboratoire de Mathématiques Appliquées UMR CNRS 6620, Université Blaise Pascal Clermont-Ferrand, Aubière Cedex, France
Jean Picard
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Department of Mathematics, University of British Columbia, Vancouver, Canada
Gordon Slade
About the editor
Gordon Slade is Professor at the University of British Columbia since 1999. Before he was Lecturer at the University of Virginia from 1985 to 1986 and Professor at the McMaster University from 1986 to 1999. The Author has been awarded the UBC Killam Research Prize (Senior Science Category) in 2004 and the Prix de l'Institut Henri Poincaré--with Remco van der Hofstad--in2003. In 2003 he was Stieltjes Visiting Professor, in 1995 Coxeter-James Lecturer for the Canadian Mathematical Society. Since 2000 he is Fellow of the Royal Society of Canada.
Bibliographic Information
Book Title: The Lace Expansion and its Applications
Book Subtitle: Ecole d'Eté de Probabilités de Saint-Flour XXXIV - 2004
Authors: Gordon Slade
Editors: Jean Picard
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/b128444
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2006
Softcover ISBN: 978-3-540-31189-8Published: 17 May 2006
eBook ISBN: 978-3-540-35518-2Published: 29 August 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XIII, 233
Topics: Probability Theory and Stochastic Processes, Theoretical, Mathematical and Computational Physics, Combinatorics