Chaos and Fractals
A field-theoretic approach to understanding scale-free neocortical dynamics
Biological Cybernetics
Fractals in Science
Fractals, dissipation and coherent states
QI'12 Proceedings of the 6th international conference on Quantum Interaction
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The self-similarity property of deterministic fractals is studied in the framework of the theory of entire analytical functions. The functional realization of fractals in terms of the q -deformed algebra of coherent states is presented. This sheds some light on the dynamical formation of fractals and provides some insight into the geometrical properties of coherent states. The global nature of fractals appears to emerge from coherent local deformation processes.