A version of Marstrand's theorem on a discrete metric space
Classical Analysis and ODEs
2026-01-30 v1
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.
Cite
@article{arxiv.2601.21434,
title = {A version of Marstrand's theorem on a discrete metric space},
author = {Leonid Gorbunov},
journal= {arXiv preprint arXiv:2601.21434},
year = {2026}
}
Comments
7 pages