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• W2080851616 abstract "The self-similarity properties of fractals are studied in the framework of the theory of entire analytical functions and the $q$-deformed algebra of coherent states. Self-similar structures are related to dissipation and to noncommutative geometry in the plane. The examples of the Koch curve and logarithmic spiral are considered in detail. It is suggested that the dynamical formation of fractals originates from the coherent boson condensation induced by the generators of the squeezed coherent states, whose (fractal) geometrical properties thus become manifest. The macroscopic nature of fractals appears to emerge from microscopic coherent local deformation processes." @default.
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• W2080851616 date "2012-07-01" @default.
• W2080851616 modified "2023-09-23" @default.
• W2080851616 title "Fractals, coherent states and self-similarity induced noncommutative geometry" @default.
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• W2080851616 doi "https://doi.org/10.1016/j.physleta.2012.06.035" @default.
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