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arxiv: 1208.1755 · v2 · pith:MUUJJZASnew · submitted 2012-08-08 · 🧮 math.DS

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

classification 🧮 math.DS
keywords averagesergodicmultiplecookie-cutterdynamicallinearmultifractalsystems
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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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