2024 An Upper Bound for the Hausdorff Dimension of Limsup Sets
Édouard Daviaud
Real Anal. Exchange 49(2): 259-292 (2024). DOI: 10.14321/realanalexch.49.2.1681282968

Abstract

We establish an upper bound theorem for the Hausdorff dimension of limsup sets. This theorem together with a theorem of extraction of subsequences of balls is used to prove the sharpness of certain lower bound estimates established via mass transference principles.

Citation

Download Citation

Édouard Daviaud. "An Upper Bound for the Hausdorff Dimension of Limsup Sets." Real Anal. Exchange 49 (2) 259 - 292, 2024. https://doi.org/10.14321/realanalexch.49.2.1681282968

Information

Published: 2024
First available in Project Euclid: 24 June 2024

Digital Object Identifier: 10.14321/realanalexch.49.2.1681282968

Subjects:
Primary: 26A03 , 26A04
Secondary: 26A05

Keywords: diophantine approximation , Mass transference principle

Rights: Copyright © 2024 Michigan State University Press

Vol.49 • No. 2 • 2024
Back to Top