Jared Krandel

activity

20212026

collaborators

6 papers

math.MG2026

Tangents to Lipschitz and Sobolev images

Matthew Badger, Jared Krandel, Vyron Vellis

We develop geometric versions of Rademacher and Calderon type differentiability theorems in two categories. A special case of our results is that for any Lipschitz or continuous $W…

math.DG2024

A Smooth Intrinsic Flat Limit of with Negative Curvature

Jared Krandel, Paul Sweeney

In 2014, Gromov asked if nonnegative scalar curvature is preserved under intrinsic flat convergence. Here we construct a sequence of closed oriented Riemannian $n$ -manifolds, $n\ge…

math.MG2024

Weak Carleson conditions in uniformly rectifiable metric spaces: the WCD and alpha numbers

Jared Krandel

We investigate characterizations of uniformly rectifiable (UR) metric spaces by so-called weak Carleson conditions for flatness coefficients which measure the extent to which Hausd…

math.CA2022

Lipschitz decompositions of domains with bilaterally flat boundaries

Jared Krandel

We study classes of domains in $R^{d + 1}, d \geq 2$ with sufficiently flat boundaries that admit a decomposition or covering of bounded overlap by Lipschitz graph domains…

math.MG2021

Iterating the Big--Pieces operator and larger sets

Jared Krandel, Raanan Schul

We show that if an Ahlfors-David regular set $E$ of dimension $k$ has Big Pieces of Big Pieces of Lipschitz Graphs (denoted usually by $B P (B P (L G))$ ), then $E \subset E ~$ wher…

math.CA2021

The Traveling Salesman Theorem for Jordan Curves in Hilbert Space

Jared Krandel

Given a metric space $X$ , an Analyst's Traveling Salesman Theorem for $X$ gives a quantitative relationship between the length of a shortest curve containing any subset $E\subseteq…