Scaling spectra and return times of dynamical systems |
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| Authors: | Mitchell J. Feigenbaum |
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| Affiliation: | (1) Laboratory of Atomic and Solid State Physics, Cornell University, 14853 Ithaca, New York;(2) Institute des Hautes Etudes Scientifiques, F-91440 Bures-sur-Yvette, France |
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| 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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| Keywords: | Spectrum of singularities Markov graphs return times scaling function dynamical systems thermodynamic formalism |
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