2 citations · 3 across the 6 of their papers we have counts for
11 papers
Lipschitz and bi-Lipschitz maps from PI spaces to Carnot groups
Guy C. David, Kyle Kinneberg
This paper deals with the problem of finding bi-Lipschitz behavior in non-degenerate Lipschitz maps between metric measure spaces. Specifically, we study maps from (subsets of) Ahl…
Rigidity for convex-cocompact actions on rank-one symmetric spaces
Guy C. David, Kyle Kinneberg
When a discrete group admits a convex-cocompact action on a non-compact rank-one symmetric space, there is a natural lower bound for the Hausdorff dimension of the limit set, given…
Lower bounds for codimension-1 measure in metric manifolds
Kyle Kinneberg
We establish Euclidean-type lower bounds for the codimension-1 Hausdorff measure of sets that separate points in doubling and linearly locally contractible metric manifolds. This g…
Conformal dimension and boundaries of planar domains
Kyle Kinneberg
Building off of techniques that were recently developed by M. Carrasco, S. Keith, and B. Kleiner to study the conformal dimension of boundaries of hyperbolic groups, we prove that…
Loewner chains and Hölder geometry
Kyle Kinneberg
The Loewner equation provides a correspondence between continuous real-valued functions and certain increasing families of half-plane hulls . In this paper we study the…
Discrete length-volume inequalities and lower volume bounds in metric spaces
Kyle Kinneberg
A theorem of W. Derrick ensures that the volume of any Riemannian cube is bounded below by the product of the distances between opposite codimension-1 faces. In this…