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Conductive-type dynamics in complex systems in the framework of Scale Relativity Theory are analyzed. Using the Madeling scenario in the description o f complex system dynamics through continuous and nondifferentiable curves (fractal/multifractal curves), three types of conductivity are highlighted differentiable conductivity, nondifferentiable conductivity, and global conductivity. These are reciprocally conditional, implying synchronous and nonsynchronous mechanisms in the conductive-type behaviors.
Martin Odersky, Aleksander Slawomir Boruch-Gruszecki, Ondrej Lhoták