Marstrand's Theorem Revisited: Projecting Sets of Dimension Zero
Metric Geometry
2018-12-17 v2 Number Theory
Abstract
We establish a refinement of Marstrand's projection theorem for Hausdorff dimension functions finer than the usual power functions, including an analogue of Marstrand's Theorem for logarithmic Hausdorff dimension.
Keywords
Cite
@article{arxiv.1703.08554,
title = {Marstrand's Theorem Revisited: Projecting Sets of Dimension Zero},
author = {Victor Beresnevich and Kenneth Falconer and Sanju Velani and Agamemnon Zafeiropoulos},
journal= {arXiv preprint arXiv:1703.08554},
year = {2018}
}
Comments
With an Appendix: The gap of uncertainty (by David Simmons, Han Yu, Agamemnon Zafeiropoulos)