The self-avoiding walk | Perpustakaan Universitas Negeri Jakarta

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The self-avoiding walk

Madras, Neal - Nama Orang; Slade, Gordon - Nama Orang;

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.

Ketersediaan

Perpustakaan Pusat E533

E533

Tersedia

Informasi Detail

Judul Seri: Modern Birkhäuser Classics
No. Panggil: E533
Penerbit: New York : Birkhäuser New York., 2012
Deskripsi Fisik: xvi, 427hlm.
Bahasa: English
ISBN/ISSN: 9781461460251
Klasifikasi: NONE
Tipe Isi: -
Tipe Media: computer
Tipe Pembawa: online resource
Edisi: 1
Subjek: Statistik
Pengkajian Data Statistik
Mekanika Statistik
Info Detail Spesifik: -
Pernyataan Tanggungjawab: Neal Madras, Gordon Slade

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The self-avoiding walk
https://doi.org/10.1007/978-1-4614-6025-1

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