Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 45, 2020, 723–737

AN A.E. LOWER BOUND FOR HAUSDORFF DIMENSION UNDER VERTICAL PROJECTIONS IN THE HEISENBERG GROUP

Terence L. J. Harris

University of Illinois, Department of Mathematics
Urbana, IL 61801, U.S.A.; terence2 'at' illinois.edu

Abstract. An improved a.e. lower bound is given for Hausdorff dimension under vertical projections in the first Heisenberg group.

2010 Mathematics Subject Classification: Primary 28A78, 28A80.

Key words: Heisenberg group, Hausdorff dimension, vertical projections.

Reference to this article: T. L. J. Harris: An a.e. lower bound for Hausdorff dimension under vertical projections in the Heisenberg group. Ann. Acad. Sci. Fenn. Math. 45 (2020), 723–737.

Full document as PDF file

https://doi.org/10.5186/aasfm.2020.4529