16 citations · 79 across the 20 of their papers we have counts for
25 papers
Sobolev and quasiconformal distortion of intermediate dimension with applications to conformal dimension
Jonathan M. Fraser, Jeremy T. Tyson
We study the distortion of intermediate dimension under supercritical Sobolev mappings and also under quasiconformal or quasisymmetric homeomorphisms. In particular, we extend to t…
Stability theorems for H-type Carnot groups
Jeremy T. Tyson
We introduce the H-type deviation of a step two Carnot group , which measures the deviation of the group from the class of Heisenberg-type groups. We…
Polar Coordinates in Carnot groups II
Jeremy T. Tyson
A Carnot group is polarizable if it carries a homogeneous norm whose powers are fundamental solutions for the -sub-Laplacian operators for all . Such groups also…
Analysis on Metric Spaces
Mario Bonk, Luca Capogna, Piotr Hajłasz +2
This note is a survey of Analysis on Metric spaces, in connection with the upcoming AMS Mathematics Research Communities program in June 2020.
On uniform measures in the Heisenberg group
Vasilis Chousionis, Valentino Magnani, Jeremy T. Tyson
We initiate a classification of uniform measures in the first Heisenberg group equipped with the Korányi metric , that represents the first example of a noncommuta…
Cantor set arithmetic
Jayadev S. Athreya, Bruce Reznick, Jeremy T. Tyson
Every element of can be written in the form , where are elements of the Cantor set . In particular, every real number between zero and one is the produ…