Abstract
The grand canonical version of the spectrum of singularities formalism is presented, relying naturally upon certain Markov transition graphs. The structure of a graph is simply determined by the close return times of the dynamical system described. Thus, an intimate connection exists between the shape of the singularity curve and a small but interesting set of dynamical properties.
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Feigenbaum, M.J. Scaling spectra and return times of dynamical systems. J Stat Phys 46, 925–932 (1987). https://doi.org/10.1007/BF01011149
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DOI: https://doi.org/10.1007/BF01011149