Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Study of the iterations of a mapping associated to a spin glass model

Study of the iterations of a mapping associated to a spin glass model We study the iterations of the mapping $$\mathcal{N}[F(s)] = \frac{{(F(s))^2 - (F(0))^2 }}{s} + (F(0))^2 ,$$ with the constraintsF(1)=1,F(s)=∑a nsn,a n≧0, and find that, except ifF(s)≡s,N[F(s)] approaches either 0 or 1 for |s|<1 ask→∞. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Communications in Mathematical Physics Springer Journals

Study of the iterations of a mapping associated to a spin glass model

Loading next page...
 
/lp/springer-journals/study-of-the-iterations-of-a-mapping-associated-to-a-spin-glass-model-83HUbPFgQu

References (1)

Publisher
Springer Journals
Copyright
Copyright © 1984 by Springer-Verlag
Subject
Physics; Theoretical, Mathematical and Computational Physics; Mathematical Physics; Quantum Physics; Complex Systems; Classical and Quantum Gravitation, Relativity Theory
ISSN
0010-3616
eISSN
1432-0916
DOI
10.1007/BF01224830
Publisher site
See Article on Publisher Site

Abstract

We study the iterations of the mapping $$\mathcal{N}[F(s)] = \frac{{(F(s))^2 - (F(0))^2 }}{s} + (F(0))^2 ,$$ with the constraintsF(1)=1,F(s)=∑a nsn,a n≧0, and find that, except ifF(s)≡s,N[F(s)] approaches either 0 or 1 for |s|<1 ask→∞.

Journal

Communications in Mathematical PhysicsSpringer Journals

Published: Feb 10, 2005

There are no references for this article.