Neal Madras, Gordon Slade

The Self-Avoiding Walk (eBook, PDF)

• Format: PDF

Produktbeschreibung

Produktdetails

• Verlag: Springer New York
• Erscheinungstermin: 7. November 2012
• Englisch
• ISBN-13: 9781461460251
• Artikelnr.: 37760006

Inhaltsangabe

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Preface.- 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.

Rezensionen

From the reviews:

"The Self-Avoiding Walk is a reprint of the original 1993 edition and is part of the Modern Birkhäuser Classics series. It provides numerous theorems and their proofs. It was complete for its time, with 237 items in its list of references; since then one large outstanding conjecture has been verified but the basics remain unchanged. ... if you want to know anything about self-avoiding walks, it is the place to look first." (Underwood Dudley, MAA Reviews, April, 2013)

This is the first book on self-avoiding random walk and a very good one. -SIAM Review   . . . an excellent introduction for graduate students and professional probabilists . . . the best place to find a self-contained exposition of lace expansion. -Bulletin of the AMS   Required reading for whoever takes applied discrete mathematics to heart. -Bulletin of Mathematics Books