A d-dimensional analyst’s travelling salesman theorem for subsets of Hilbert space

Matthew Hyde

Type: Article

Publication Date: 2022-12-13

Citations: 3

DOI: https://doi.org/10.1007/s00208-022-02509-2

View Publication

Download PDF

Locations

Mathematische Annalen - View
arXiv (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	A $d$-dimensional Analyst's Travelling Salesman Theorem for subsets of Hilbert space	2021	Matthew Hyde
+	H\"older curves and parameterizations in the Analyst's Traveling Salesman theorem	2018	Matthew Badger Lisa Naples Vyron Vellis
+	Hölder curves and parameterizations in the Analyst's Traveling Salesman theorem	2018	Matthew Badger Lisa M. Naples Vyron Vellis
+ PDF Chat	Hölder curves and parameterizations in the Analyst's Traveling Salesman theorem	2019	Matthew Badger Lisa Naples Vyron Vellis
+ PDF Chat	A sharp necessary condition for rectifiable curves in metric spaces	2020	Guy C. David Raanan Schul
+ PDF Chat	Geometric criteria for C1,α$C^{1,\alpha }$‐rectifiability	2022	Giacomo Del Nin Kennedy Obinna Idu
+	On the Geometry of Rectifiable Sets with Carleson and Poincaré-type Conditions	2015	Jessica Merhej
+	Poincar\'e-type Inequalities and Finding Good Parameterizations	2016	Jessica Merhej
+	Uniformly rectifiable metric spaces: Lipschitz images, Bi-Lateral Weak Geometric Lemma and Corona Decompositions	2023	David Bate Matthew Hyde Raanan Schul
+	Subsets of Rectifiable curves in Hilbert Space-The Analyst's TSP	2006	Raanan Schul
+	An Analyst's Traveling Salesman Theorem for sets of dimension larger than one	2016	Jonas Azzam Raanan Schul
+	An Analyst's Traveling Salesman Theorem for sets of dimension larger than one	2016	Jonas Azzam Raanan Schul
+	A sharp necessary condition for rectifiable curves in metric spaces	2019	Guy C. David Raanan Schul
+	A sharp necessary condition for rectifiable curves in metric spaces	2019	Guy C. David Raanan Schul
+ PDF Chat	Characterising rectifiable metric spaces using tangent spaces	2022	David Bate
+ PDF Chat	Characterising rectifiable metric spaces using tangent spaces	2021	David Bate
+ PDF Chat	On the geometry of rectifiable sets with Carleson and Poincar\'{e}-type conditions	2017	Jessica Merhej
+	Non-local distance functions and geometric regularity	2022	Max Engelstein Cole Jeznach Svitlana Mayboroda
+	Poincaré-type Inequalities and Finding Good Parameterizations	2016	Jessica Merhej
+	On the Geometry of Rectifiable Sets with Carleson and Poincar\'e-type Conditions	2015	Jessica Merhej

Works That Cite This (3)

Action	Title	Year	Authors
+ PDF Chat	Analytic capacity and dimension of sets with plenty of big projections	2024	Damian Dąbrowski Michele Villa
+	A note on the Hausdorff dimension of uniformly non flat sets with plenty of big projections	2021	Michele Villa
+ PDF Chat	The Traveling Salesman Theorem for Jordan Curves in Hilbert Space	2023	Jared Krandel

Works Cited by This (36)

Action	Title	Year	Authors
+	Real and Complex Analysis.	1987	G. A. Garreau Walter Rudin
+ PDF Chat	A T(b) theorem with remarks on analytic capacity and the Cauchy integral	1990	Michael Christ
+ PDF Chat	Uniform measures and uniform rectifiability	2015	Xavier Tolsa
+	Smooth bump functions and the geometry of banach spaces	2002	R. Fry S. McManus
+ PDF Chat	Hausdorff dimension of uniformly non flat sets with topology	2004	Guy David
+ PDF Chat	The Geometric Traveling Salesman Problem in the Heisenberg Group	2007	Fausto Ferrari Bruno Franchi Hervé Pajot
+ PDF Chat	Non-homogeneous Tb Theorem and Random Dyadic Cubes on Metric Measure Spaces	2011	Tuomas Hytönen Henri Martikainen
+	Some inequalities and convergence theorems for Choquet integrals	2009	Rui‐Sheng Wang
+ PDF Chat	Uniform rectifiability, Calderón-Zygmund operators with odd kernel, and quasiorthogonality	2008	Xavier Tolsa
+ PDF Chat	Menger curvature and Lipschitz parametrizations in metric spaces	2005	Immo Hahlomaa