LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	519.2 (DDC 23)
Title	The Self-Avoiding Walk (EB) / by Neal Madras, Gordon Slade.
Author	Madras, Neal
Added Personal Name	Slade, Gordon author.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Birkhäuser
Publication	, 2013.
Physical Details	XVI, 427 p. : online resource.
Series	Modern Birkhäuser classics
ISBN	9781461460251
Summary Note	The self-avoiding walk is a mathematical model that has important applications in statistical mechanics and polymer science. In spite of its simple definitionâa path on a lattice that does not visit the same site more than onceâit is difficult to analyze mathematically. TheÂ Self-Avoiding WalkÂ provides the firstÂ unified account of the known rigorous results for the self-avoiding walk, with particular emphasis on its critical behavior. Its goals are to give an account of the current mathematical understanding of the model, to indicate some of the applications of the concept in physics and in chemistry, and to give an introduction to some of the nonrigorous methods used in those fields.Â Â Topics covered in the book's include: the lace expansion and its application to the self-avoiding walk in more than four dimensions where most issues are now resolved; an introduction to the nonrigorous scaling theory; classical work of Hammersley and others; a new exposition of Kestenâs pattern theorem and its consequences; a discussion of the decay of the two-point function and its relation to probabilistic renewal theory; analysis of Monte Carlo methods that have been used to study the self-avoiding walk; the role of the self-avoiding walk in physical and chemical applications. Methods from combinatorics, probability theory, analysis, and mathematical physics play important roles. The book is highly accessible to both professionals and graduate students in mathematics, physics, and chemistry.:
Contents note	Preface.-Â Introduction -- Scaling, polymers' and spins -- Some combinatorial bounds -- Decay of the two-point function -- The lace expansion -- Above four dimensions -- Pattern theorems -- Polygons, slabs, bridges' and knots -- Analysis of Monte Carlo methods -- Related Topics -- Random walk -- Proof of the renewal theorem -- Tables of exact enumerations -- Bibliography -- Notation -- Index.Â .
System details note	Online access to this digital book is restricted to subscription isntitutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4614-6025-1
Links to Related Works	Subject References: Combinatorics . Distribution (Probability theory) . Mathematical Applications in the Physical Sciences . Mathematical Physics . Mathematics . Probability theory and stochastic processes . Authors: Madras, Neal . Slade, Gordon . Corporate Authors: SpringerLink (Online service) . Series: Modern Birkhäuser classics . Classification: 519.2 (DDC 23) .

Catalogue Display

The Self-Avoiding Walk

Reviews