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Multifractal analysis of some multiple ergodic averages in linear Cookie-Cutter dynamical systems

Mathematische Zeitschrift (2018) 290(1-2) 63-81
DOI: 10.1007/s00209-017-2008-7
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Abstract

In this paper, we study the multiple ergodic averages of a locally constant real-valued function in linear Cookie-Cutter dynamical systems. The multifractal spectrum of these multiple ergodic averages is completely determined.

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Fan, A., Liao, L., & Wu, M. (2018). Multifractal analysis of some multiple ergodic averages in linear Cookie-Cutter dynamical systems. Mathematische Zeitschrift, 290(1–2), 63–81. https://doi.org/10.1007/s00209-017-2008-7

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