2 citations · 3 across the 8 of their papers we have counts for
9 papers
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…
Pointwise semi-Lipschitz functions and Banach-Stone theorems
Estíbalitz Durand-Cartagena, Jesús Á. Jaramillo, Francisco Venegas M
We study the fundamental properties of pointwise semi-Lipschitz functions between asymmetric spaces, which are the natural asymmetric counterpart of pointwise Lipschitz functions.…
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…
Doubling constants and spectral theory on graphs
Estibalitz Durand-Cartagena, Javier Soria, Pedro Tradacete
We study the least doubling constant among all possible doubling measures defined on a (finite or infinite) graph . We show that this constant can be estimated from below by $1+…
The least doubling constant of a path graph
Estibalitz Durand-Cartagena, Javier Soria, Pedro Tradacete
We study the least doubling constant among all possible doubling measures defined on a path graph . We consider both finite and infinite cases and show that, if $G=\mathbb…
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 …
Rectifiability of Self-contracted curves in the Euclidean space and applications
Aris Daniilidis, Guy David, Estibalitz Durand-Cartagena +1
It is hereby established that, in Euclidean spaces of finite dimension, bounded self-contracted curves have finite length. This extends the main result of Daniilidis, Ley, and Sabo…
On Whitney-type characterization of approximate differentiability on metric measure spaces
Estibalitz Durand-Cartagena, Lizaveta Ihnatsyeva, Riikka Korte +1
We study approximately differentiable functions on metric measure spaces admitting a Cheeger differentiable structure. The main result is a Whitney-type characterization of approxi…