3 papers
math.MG2017
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…
math.MG2016
The Analyst's traveling salesman theorem in graph inverse limits
Guy C. David, Raanan Schul
We prove a version of Peter Jones' Analyst's traveling salesman theorem in a class of highly non-Euclidean metric spaces introduced by Laakso and generalized by Cheeger-Kleiner. Th…
math.CA2015
Lusin-type theorems for Cheeger derivatives on metric measure spaces
Guy C. David
A theorem of Lusin states that every Borel function on is equal almost everywhere to the derivative of a continuous function. This result was later generalized to in work…