2 citations · 3 across the 8 of their papers we have counts for
4 papers · 1 filter
Metric spaces with small rough angles and the rectifiability of rough self-contracting curves
Estibalitz Durand-Cartagena, Jeremy T. Tyson
The small rough angle ($\mbox{SRA}$) condition, introduced by Zolotov in arXiv:1804.00234, captures the idea that all angles formed by triples of points in a metric space are small…
Connections between metric differentiability and rectifiability
Iván Caamaño, Estíbalitz Durand-Cartagena, Jesús Á. Jaramillo +2
We combine Kirchheim's metric differentials with Cheeger charts in order to establish a non-embeddability principle for any collection of Banach (or metric) spaces: if…
Equivalence of two BV classes of functions in metric spaces, and existence of a Semmes family of curves under a -Poincaré inequality
Estibalitz Durand-Cartagena, Sylvester Eriksson-Bique, Riikka Korte +1
We consider two notions of functions of bounded variation in complete metric measure spaces, one due to Martio and the other due to Miranda~Jr. We show that these two notions coinc…
Metric and geometric relaxations of self-contracted curves
Aris Daniilidis, Robert Deville, Estibalitz Durand Cartagena
Self-contractedness (or self-expandedness, depending on the orientation) is hereby extended in two natural ways giving rise, for any , to the metric notion of …