Meblin transforms associated with Julia sets and physical applications

Author:

Bessis D.,Geronimo J. S.,Moussa P.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference30 articles.

1. G. Julia, Mémoire sur l'iteration des fonctions rationnelles,J. Math. Ser. 7 (Paris) 4:47–245 (1918); P. Fatou, Sur les équations fonctionnelles,Bull. Soc. Math. France 47:161–271 (1919);48:33–94 (1920);48:208–314 (1920).

2. H. Brolin, Invariant sets under iterations of rational functions,Ark. Mat. 6:103–144 (1965).

3. M. F. Barnsley, J. S. Geronimo, and A. N. Harrington, Orthogonal polynomials associated with invariant measure on Julia sets,Bull. Am. Math. Soc. 7:381–384 (1982); A. Freire, A. Lopez, and R. Mañe, An invariant measure for rational maps, Maryland University preprint, 1982; M. F. Barnsley and A. N. Harrington, Moments of balanced measures on Julia set, Georgia Institute of Technology preprint, 1982.

4. M. F. Barnsley, J. S. Geronimo, and A. N. Harrington, Geometrical and electrical properties of some Julia sets, Georgia Institute of Technology preprint, 1982, submitted toJournal of Statistical Physics.

5. D. Bessis and P. Moussa, Orthogonality properties of iterated polynomial mappings,Commun. Math. Phys. 88:503–529 (1983).

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