Terence L. J. Harris

activity

20242026

collaborators

3 papers

math.CA2026

Packing dimension of vertical projections in the Heisenberg group

Terence L. J. Harris

It is shown that if $A$ is a Borel subset of the first Heisenberg group, with Hausdorff dimension satisfying $2 < dim A < 3$ , then the packing dimensions of vertical projections of…

math.CA2025

Incidence bounds related to circular Furstenberg sets

John Green, Terence L. J. Harris, Yumeng Ou +2

We prove bounds on approximate incidences between families of circles and families of points in the plane. As a consequence, we prove a lower bound for the dimension of circular $(…

math.CA2024

Exceptional sets for length under restricted families of projections onto lines in $R^{3}$

Terence L. J. Harris

It is shown that if $A \subseteq R^{3}$ is a Borel set of Hausdorff dimension $dim A > 1$ , and if $I ¨ _{I^} ¸$ is orthogonal projection to the line spanned by $( \cos Î¸, \sin Î¸,…

Packing dimension of vertical projections in the Heisenberg group

Incidence bounds related to circular Furstenberg sets

Exceptional sets for length under restricted families of projections onto lines in R3

Exceptional sets for length under restricted families of projections onto lines in $R^{3}$