A version of Marstrand's theorem on a discrete metric space

arXiv (Cornell University) 2026 Preprint Open access

Read full text
Authors: Leonid Gorbunov
DOI: 10.48550/arxiv.2601.21434
Cited by: 0

Abstract

We present and prove the version of Marstrand's theorem for discrete metric space. We provide explicit estimates of the quotient of upper and lower densities of measures on this space.

Fields of Study & Subjects

Mathematical Dynamics and Fractals Advanced Harmonic Analysis Research Geometric Analysis and Curvature Flows

Publication details

Journal / source
arXiv (Cornell University)
Publication date
29 January 2026
Document type
Preprint