The self-avoiding walk is a mathematical model that has important applications in statistical mechanics and polymer science. In spite of its simple definition-a path on a lattice that does not visit the same site more than once-it is difficult to analyze mathematically. The Self-Avoiding Walk provides the first 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 ...
Read More
The self-avoiding walk is a mathematical model that has important applications in statistical mechanics and polymer science. In spite of its simple definition-a path on a lattice that does not visit the same site more than once-it is difficult to analyze mathematically. The Self-Avoiding Walk provides the first 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. Topics covered in the book 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 Kesten's 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.
Read Less
Add this copy of The Self-Avoiding Walk (Modern Birkhäuser Classics) to cart. $71.99, very good condition, Sold by BookHouse On-Line rated 5.0 out of 5 stars, ships from Minneapolis, MN, UNITED STATES, published 2012 by Birkhäuser.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
Very Good. Size: 97x16x148; Very good paperback copy, from a personal collection (NOT ex-library). Spine is uncreased, binding tight and sturdy. Previous owner's name markered out from inside of front cover, otherwise text also very good. Exterior looks very nice. A reprint edition. Ships from Dinkytown in Minneapolis, Minnesota. Due to the size/weight of this book extra charges may apply for international shipping.
Add this copy of The Self-Avoiding Walk to cart. $84.53, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2012 by Birkhauser.
Add this copy of The Self-Avoiding Walk to cart. $89.97, new condition, Sold by booksXpress, ships from Bayonne, NJ, UNITED STATES, published 2012 by Birkhauser.
