Generalized dimensions, large deviations and the distribution of rare events

@article{Caby2018GeneralizedDL,
  title={Generalized dimensions, large deviations and the distribution of rare events},
  author={Theophile Caby and Davide Faranda and Giorgio Mantica and Sandro Vaienti and Pascal Yiou},
  journal={arXiv: Dynamical Systems},
  year={2018}
}
Generalized dimensions of multifractal measures are usually seen as static objects, related to the scaling properties of suitable partition functions, or moments of measures of cells. When these measures are invariant for the flow of a chaotic dynamical system, generalized dimensions take on a dynamical meaning, as they provide the rate function for the large deviations of the first hitting time, which is the (average) time required to connect any two different regions in phase space. We prove… Expand
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