ESTIBALITZ
DURAND CARTAGENA
Profesor Titular Universidad
Publicacions (24) Publicacions de ESTIBALITZ DURAND CARTAGENA
2023
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Doubling Constants and Spectral Theory on Graphs
Discrete Mathematics, Vol. 346, Núm. 6
2021
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Equivalence of two BV classes of functions in metric spaces, and existence of a Semmes family of curves under a 1-Poincaré inequality
Advances in Calculus of Variations, Vol. 14, Núm. 2, pp. 231-245
2020
2019
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Existence and uniqueness of ∞ -harmonic functions under assumption of ∞ -Poincaré inequality
Mathematische Annalen, Vol. 374, Núm. 1-2, pp. 881-906
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Metric and Geometric Relaxations of Self-Contracted Curves
Journal of Optimization Theory and Applications, Vol. 182, Núm. 1, pp. 81-109
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Self-contracted curves are gradient flows of convex functions
Proceedings of the American Mathematical Society, Vol. 147, Núm. 6, pp. 2517-2531
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Sierpinski-type fractals are differentiably trivial
Annales Academiae Scientiarum Fennicae Mathematica, Vol. 44, Núm. 2, pp. 635-655
2018
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Self-contracted curves in Riemannian manifolds
Journal of Mathematical Analysis and Applications, Vol. 457, Núm. 2, pp. 1333-1352
2017
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Preservation of bounded geometry under sphericalization and flattening: Quasiconvexity and ∞-Poincaré inequality
Annales Academiae Scientiarum Fennicae Mathematica, Vol. 42, Núm. 1, pp. 303-324
2016
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Geometric characterizations of -Poincaré inequalities in the metric setting
Publicacions matematiques, Vol. 60, Núm. 1, pp. 81-111
2015
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Preservation of p-poincarÉ inequality for large p under sphericalization and flattening
Illinois Journal of Mathematics, Vol. 59, Núm. 4, pp. 1043-1069
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Rectifiability of Self-Contracted Curves in the Euclidean Space and Applications
Journal of Geometric Analysis, Vol. 25, Núm. 2, pp. 1211-1239
2014
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Materiales interactivos accesibles: Una contribución a la accesibilidad integral de textos y multimedia en asignaturas científico-técnicas
VII Jornadas de Redes de Investigación en Innovación Docente de la UNED: libro de actas
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On whitney-type characterization of approximate differentiability on metric measure spaces
Canadian Journal of Mathematics, Vol. 66, Núm. 4, pp. 721-742
2013
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Erratum: Rectifiable curves in Sierpiński carpets (Indiana University Mathematics Journal (2011) 60:1 (285-309))
Indiana University Mathematics Journal
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The effect of projections on dimension in the Heisenberg group.
Revista matemática iberoamericana, Vol. 29, Núm. 2, pp. 381-432
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Visualización y docencia de variable compleja: desarrollo y uso de materiales
Innovación docente universitaria en entornos de aprendizaje enriquecidos: I Jornadas Internacionales de Innovación Docente Universitaria en Entornos de Aprendizaje Enriquecidos. Libro de actas
2012
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Teaching complex analysis: design of visualization materials for distance teaching
PROCEEDINGS OF THE 36TH CONFERENCE OF THE INTERNATIONAL GROUP FOR PSYCHOLOGY OF MATHEMATICS EDUCATION, VOL. 1: OPPORTUNITIES TO LEARN IN MATHEMATICS EDUCATION
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The∞-Poincaré inequality in metric measure spaces
Michigan Mathematical Journal, Vol. 61, Núm. 1, pp. 63-85
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p-Poincaré inequality versus ∞-Poincaré inequality: Some counterexamples
Mathematische Zeitschrift, Vol. 271, Núm. 1-2, pp. 447-467