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math.MG2020★ 3 cited
Dimension Distortion by Right Coset Projections in the Heisenberg Group
Terence L. J. Harris, Chi N. Y. Huynh, Fernando Roman-Garcia
We study the family of vertical projections whose fibers are right cosets of horizontal planes in the Heisenberg group, . We prove lower bounds for Hausdorff dimensio…
math.MG2019
Intersection of projections and slicing theorems for the isotropic Grassmannian and the Heisenberg group
Fernando Roman-Garcia
This paper studies the Hausdorff dimension of the intersection of isotropic projections of subsets of , as well as dimension of intersections of sets with isotropi…