Multifractal analysis of some multiple ergodic averages in linear Cookie-Cutter dynamical systems
Dynamical Systems
2016-02-01 v2
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.
Keywords
Cite
@article{arxiv.1208.1755,
title = {Multifractal analysis of some multiple ergodic averages in linear Cookie-Cutter dynamical systems},
author = {Ai-Hua Fan and Lingmin Liao and Meng Wu},
journal= {arXiv preprint arXiv:1208.1755},
year = {2016}
}
Comments
In this new version, details are added in the proofs