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- W639717101 abstract "Let (X, f) be a dynamical system with X a compact metric space. Let Xr be the product of r-copies of X, r≥ 1, and Φ: Xr → R. The multifractal decomposition for V –statistics for Φ, f is defined as .The set of points x ∊ X, for which the limit does not exist is called the irregular part, or historic set, of the spectrum. In this article we analyze the irregular part of the V -statistics for systems satisfying a weak form of the known Bowen specification property, called the non-uniform specification property. This concept was introduced by P. Varandas and allows to work in a nonuniformly hyperbolic context." @default.
- W639717101 created "2016-06-24" @default.
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- W639717101 date "2015-01-02" @default.
- W639717101 modified "2023-09-25" @default.
- W639717101 title "On the Irregular Part of<i>V</i>-Statistics Multifractal Spectra for Systems with Non-Uniform Specification" @default.
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- W639717101 doi "https://doi.org/10.1080/1726037x.2015.1027108" @default.
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