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• W2016989185 abstract "For a continuous transformation f of a compact metric space (X,d) and any continuous function phi on X we consider sets of the formK_{alpha} =bigg{xin X:lim_{ntoinfty} frac 1n sum_{i=0}^{n-1} phi( f^i(x))=alpha bigg},quadalphainR.For transformations satisfying the specification property we prove the following Variational Principleh_{rm top}(f,K_{alpha}) = supbigg( h_mu(f): mutext{ is invariant and } intphi ,dmu=alpha bigg),where h_{rm top}(f,cdot) is the topological entropy of non-compact sets. Using this result we are able to obtain a complete description of the multifractal spectrum for Lyapunov exponents of the so-called Manneville–Pomeau map, which is an interval map with an indifferent fixed point.We also consider multi-dimensional multifractal spectra and establish a contraction principle." @default.
• W2016989185 created "2016-06-24" @default.
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• W2016989185 date "2003-01-24" @default.
• W2016989185 modified "2023-10-01" @default.
• W2016989185 title "On the variational principle for the topological entropy of certain non-compact sets" @default.
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• W2016989185 doi "https://doi.org/10.1017/s0143385702000913" @default.
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