Estimate of the Hausdorff Dimension of a Self-Similar Set due to Weak Contractions
Yoshihito Ogasawara, Shin'ichi Oishi
TL;DR
This paper simplifies the mathematical estimation of the Hausdorff dimension for self-similar sets affected by weak contractions, making it more applicable to diverse phenomena.
Contribution
It introduces a simplified formula for estimating the Hausdorff dimension of self-similar sets under weak contractions, enhancing practical applicability.
Findings
Simplified formula for Hausdorff dimension estimation
Broader applicability to various phenomena
Improved mathematical clarity
Abstract
As for the remarkable study on the estimate of the Hausdorff dimension of a self-similar set due to weak contractions (Kitada A. et al. Chaos, Solitons & Fractals 13 (2002) 363-366), we present a mathematically simplified form which will be more applicable to various phenomena.
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