Some Aspects of Multifractal analysis
Aihua Fan
TL;DR
This survey explores multifractal analysis focusing on multiple ergodic averages, covering topics like measure dimensions, oriented walks, and Riesz products to provide an overview of recent developments.
Contribution
It introduces recent advances in multifractal analysis related to multiple ergodic averages and related topics, offering a comprehensive overview.
Findings
Insights into measure dimensions and multifractal spectra
Connections between ergodic averages and Riesz products
Enhanced understanding of multifractal structures
Abstract
The aim of this survey is to present some aspects of multifractal analysis around the recently developed subject of multiple ergodic averages. Related topics include dimensions of measures, oriented walks, Riesz products etc.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical Dynamics and Fractals