E. Durand-Cartagena

activity

20122025

most citedOn Whitney-type characterization of approximate differentiability on metric measure spaces

2 citations · 3 across the 8 of their papers we have counts for

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Showing 2018Show all

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math.MG2018★ 1 cited

Equivalence of two BV classes of functions in metric spaces, and existence of a Semmes family of curves under a $1$ -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…

math.MG2018

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 $λ \in [- 1, 1)$ , to the metric notion of $λ$ …

Equivalence of two BV classes of functions in metric spaces, and existence of a Semmes family of curves under a 1-Poincaré inequality

Metric and geometric relaxations of self-contracted curves

Equivalence of two BV classes of functions in metric spaces, and existence of a Semmes family of curves under a $1$ -Poincaré inequality