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

2012/08/08 by Fan, Ai-Hua, Liao, Lingmin, Wu, Meng
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1208.1755

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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