Cover Image

Minimizers of the Maximum Distance Problem via an Analyst's Traveling Salesperson Algorithm

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Alvarado, Enrique, Ghinassi, Silvia, Naples, Lisa
Format:	Preprint
Published:	2026
Subjects:	Metric Geometry Classical Analysis and ODEs 49Q20
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The rival coffee shop problem
by: Casado, Javier, et al.
Published: (2023)

On Pinned Falconer Distance Problem for Cartesian Product Sets: the Parabolic Method
by: Li, Ji, et al.
Published: (2025)

A priori bounds for geodesic diameter. Part I. Integral chains with coefficients in a complete normed commutative group
by: Menne, Ulrich, et al.
Published: (2022)

Menger curvatures and $C^{1,α}$ rectifiability of measures
by: Ghinassi, Silvia, et al.
Published: (2019)

On various Carleson-type geometric lemmas and uniform rectifiability in metric spaces: Part 1
by: Fässler, Katrin, et al.
Published: (2023)

SBV functions in Carnot-Carathéodory spaces
by: Di Marco, Marco, et al.
Published: (2025)

Characterizing rectifiability via biLipschitz pieces of Lipschitz mappings on the space
by: Li, Sean, et al.
Published: (2025)

Marstrand's density theorem for arbitrary norms in the plane
by: Del Nin, Giacomo, et al.
Published: (2025)

Optimal regularity for quasiminimal sets of codimension one in $\R^2$ and $\R^3$
by: Labourie, Camille, et al.
Published: (2024)

An existence theorem for sliding minimal sets
by: David, Guy, et al.
Published: (2025)

Fourier analytic variants of the Furstenberg and Kakeya problems
by: Fraser, Jonathan M., et al.
Published: (2026)

The Assouad spectrum and dimension of typical graphs
by: Feng, Tianyi, et al.
Published: (2026)

A Bilinear Kakeya Inequality in the Heisenberg Group
by: Galanos, Yannis
Published: (2026)

On singular integrals with non-negative kernels in the Heisenberg group
by: Chousionis, Vasileios, et al.
Published: (2026)

Quantitative harmonic approximations and Dorronsoro's Theorem in metric measure spaces
by: Hyde, Matthew
Published: (2026)

On the best constant in the finitary Vitali covering lemma for high dimensional cubes
by: Dall'Ara, Gian Maria
Published: (2025)

A non-sticky Kakeya set of Lebesgue measure zero
by: Lai, Chun-Kit, et al.
Published: (2025)

On restricted projections to planes in $\mathbb{R}^3$
by: Gan, Shengwen, et al.
Published: (2022)

On sets of orthogonal exponentials on the disk
by: Zakharov, Dmitrii
Published: (2024)

Quantitative visibility estimates for unrectifiable sets in the plane
by: Bond, M., et al.
Published: (2013)

Quasiconformal mappings and the rank of $\tfrac {dDf}{d|Df|}$ for $f\in BV(\mathbb{R}^n; \mathbb{R}^n)$
by: Lahti, Panu
Published: (2024)

Fifty years of the Erdős similarity conjecture
by: Jung, Yeonwook, et al.
Published: (2024)

New properties of length-extremals in free step-2 rank-4 Carnot groups
by: Montanari, Annamaria, et al.
Published: (2025)

On the Packing Functions of some Linear Sets of Lebesgue Measure Zero
by: Anderson, Austin, et al.
Published: (2024)

A Furstenberg-type problem for circles, and a Kaufman-type restricted projection theorem in $\mathbb{R}^3$
by: Pramanik, Malabika, et al.
Published: (2022)

Weak porosity on metric measure spaces
by: Mudarra, Carlos
Published: (2023)

Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions
by: Wang, Hong, et al.
Published: (2025)

Exceptional set estimates for radial projections in $\mathbb{R}^n$
by: Bright, Paige, et al.
Published: (2022)

An improved lower bound for star-shaped Kakeya sets
by: Li, Shaoqi
Published: (2025)

Qualitative Lipschitz to bi-Lipschitz decomposition
by: Bate, David
Published: (2024)

Similar point configurations via group actions
by: Bhowmik, P., et al.
Published: (2024)

On the dimension distortion under fractionally smooth mappings
by: Alvarado, Ryan, et al.
Published: (2025)

The planar Plateau's problem via capillarity
by: Idu, Kennedy Obinna
Published: (2024)

A generalization of Reifenberg's theorem in R^N for flat cones
by: Liang, Xiangyu, et al.
Published: (2026)

On the Almgren minimality of the product of a paired calibrated set with a calibrated set of codimension 1 with singularities, and new Almgren minimal cones
by: Liang, Xiangyu
Published: (2024)

A refined Lusin type theorem for gradients
by: De Masi, Luigi, et al.
Published: (2024)

Area of Hölder curves and coarea formula on the Heisenberg group
by: Antonelli, Gioacchino, et al.
Published: (2026)

Catching jumps of metric-valued mappings with Lipschitz functions
by: Stolyarov, Dmitriy, et al.
Published: (2026)

Buffon Discrepancy and the Steinhaus Longimeter
by: Steinerberger, Stefan
Published: (2026)

Realizing trees of configurations in thin sets
by: Greenleaf, Allan, et al.
Published: (2024)