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Study of the iterations of a mapping associated to a spin glass model |
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| Authors: | P Collet J -P Eckmann V Glaser A Martin |
| Institution: | 1. Centre de Physique Théorique de l'Ecole Polytechnique, F-91128, Palaiseau, France 2. Ecole de Physique, Université de Genève, CH-1211, Genève, Switzerland 3. CERN, CH-1211, Genève 23, Switzerland |
| 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,NF(s)] approaches either 0 or 1 for |s|<1 ask→∞. |
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