The Lace Expansion and its Applications by Gordon Slade

The Lace Expansion and its Applications by Gordon Slade

The lace expansion is a powerful and flexible method for understanding the critical scaling of several models of interest in probability, statistical mechanics, and combinatorics, above their upper critical dimensions.

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)

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. 

SKU	Unavailable
ISBN 13	9783540311898
ISBN 10	3540311890
Title	The Lace Expansion and its Applications
Author	Gordon Slade
Series	Lecture Notes In Mathematics Ser
Condition	Unavailable
Binding Type	Paperback
Publisher	Springer
Year published	2006-05-17
Number of pages	233
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.