Work

A nonlinear version of the $α$-Kakutani equidistribution problem

Year: 2026

Type: preprint

Abstract: In this work, we extend results of Kakutani; Adler and Flatto; Smilansky; Pollicott and Sewell on the equidistribution of endpoints generated by interval-splitting procedures. We study a nonlinear version of the problem generated by a finite or countable family of $\mathcal{C}^{1+ \varepsilon}$ contractions and prove Lebesgue equidistribution under suitable nonlattice and thermodynamic regularity assumptions.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2605.16156

Author: Rojas, Ignacio

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7161592133

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