Abstract
We study the iterations of the mapping
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→∞.
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Collet, P., Eckmann, J.-P., Glaser, V., Martin, A.: J. Stat. Phys. (in press) Polytechnique Preprint (1983)
Hille, E.: Differential equations in the complex domain, p. 103. New York: Wiley 1976
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Communicated by A. Jaffe
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Collet, P., Eckmann, J.P., Glaser, V. et al. Study of the iterations of a mapping associated to a spin glass model. Commun.Math. Phys. 94, 353–370 (1984). https://doi.org/10.1007/BF01224830
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DOI: https://doi.org/10.1007/BF01224830