Fractional derivation and behavior of the punctuation of the torus at infinity

Alain Le Mehaute; L. Nivanen

doi:10.1117/12.375323

14 January 2000 Fractional derivation and behavior of the punctuation of the torus at infinity

Alain Le Mehaute, L. Nivanen

Proceedings Volume 4061, IRQO '99: Quantum Optics; (2000) https://doi.org/10.1117/12.375323
Event: Eighth International Readings on Quantum Optics: IRQO '99, 1999, Kazan, Russian Federation

Abstract

In this paper the classical notion of resistance is considered with a geometrical view. First order processes are considered through the scope of their state trajectory. By applying a geometrical procedure, the resistance can be seen as the deviation between two points on border of an hyperbolic space. The same procedure is then applied to the Cole-Cole expressions, typical of fractal media phenomena. In spite of the abandon of transformation group structure, the notion of resistance takes a wide sense, linked not only to a deviation of the border, but also coming from the thickness of this border.

Citation Download Citation

Alain Le Mehaute and L. Nivanen "Fractional derivation and behavior of the punctuation of the torus at infinity", Proc. SPIE 4061, IRQO '99: Quantum Optics, (14 January 2000); https://doi.org/10.1117/12.375323

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