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Title:
Renormalization of Dynamical Systems.
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Abstract:
It has been observed that two seemingly very different dynamical systems can bear striking resemblances when viewed at sufficiently small scales. Drawing motivations from physics, Feigenbaum (and independently, Collet and Tresser) introduced renormalization in the mid 1970’s as a conjectural explanation of this phenomenon. Since then, this idea has been successfully applied to a wide variety of fundamentally important examples of dynamical systems, leading to deep and rigorous mathematical theories that describe their long-term behaviors.
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