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- W4310698988 abstract "In this paper, we study the topological spectrum of weighted Birkhoff averages over aperiodic and irreducible subshifts of finite type. We show that for a uniformly continuous family of potentials, the spectrum is continuous and concave over its domain. In case of typical weights with respect to some ergodic quasi-Bernoulli measure, we determine the spectrum. Moreover, in case of full shift and under the assumption that the potentials depend only on the first coordinate, we show that our result is applicable for regular weights, like Mobius sequence." @default.
- W4310698988 created "2022-12-16" @default.
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- W4310698988 date "2020-06-11" @default.
- W4310698988 modified "2023-10-03" @default.
- W4310698988 title "On the multifractal spectrum of weighted Birkhoff averages" @default.
- W4310698988 doi "https://doi.org/10.48550/arxiv.2006.06774" @default.
- W4310698988 hasPublicationYear "2020" @default.
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