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math.CA2020
Radon measures and Lipschitz graphs
Matthew Badger, Lisa Naples
For all , we investigate the interaction of locally finite measures in with the family of -dimensional Lipschitz graphs. For instance, we charact…
math.CA2018
Hölder curves and parameterizations in the Analyst's Traveling Salesman theorem
Matthew Badger, Lisa Naples, Vyron Vellis
We investigate the geometry of sets in Euclidean and infinite-dimensional Hilbert spaces. We establish sufficient conditions that ensure a set of points is contained in the image o…
math.CA2018
Generalized rectifiability of measures and the identification problem
Matthew Badger
One goal of geometric measure theory is to understand how measures in the plane or higher dimensional Euclidean space interact with families of lower dimensional sets. An important…