Original scientific paper

Physical applications of Julia sets

Daniel Bessis ; Service de Physique Theorique, Centre d' Etudes Nucleaires de Saclay, F-91191 Gif-sur-Yvette, Cedex, France
Pierre Moussa ; Service de Physique Theorique, Centre d' Etudes Nucleaires de Saclay, F-91191 Gif-sur-Yvette, Cedex, France

Abstract

We review some properties of iterated polynomials and rational fractions in the complex plane. We give several interpretations of the corresponding invariant sets, usually called Julia sets. These interpretations apply to two-dimensional electrostatic, one dimensional almost periodic Schrödinger equation, vibrational spectra of fractal structures, and location of the zeroes of the partition function for exactly renormalizable lattice spin systems.

Keywords

Hrčak ID:

329865

URI

https://hrcak.srce.hr/329865

Publication date:

6.8.1985.

Article data in other languages: croatian

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