Abstract
Arguments in favor of the nondifferentiability with respect to initial data of some functions associated with deterministic discrete-time dynamical systems are presented. A correspondence between a discrete-time dynamical system and a deterministic scattering model is found and used to interpret nondifferentiability conditions. A connection with random walks is also found.
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Okniński, A. Chaos in discrete maps, deterministic scattering, and nondifferentiable functions. J Stat Phys 52, 577–594 (1988). https://doi.org/10.1007/BF01019718
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DOI: https://doi.org/10.1007/BF01019718