Dimension Estimates on Circular (s,t)-Furstenberg Sets

2022/04/04 by Jiayin Liu, Liu, Jiayin
Mathematics · #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Metric Geometry (math.MG) #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2204.01770

openalex publication_date 2022/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we show that circular (s,t)-Furstenberg sets in \mathbb R² have Hausdorff dimension at least max\\fract3+s,(2t+1)s-t\ \text for all 0

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