Metric Geometry

Authors and titles for math.MG in Mar 2024

[1]  arXiv:2403.00698 [pdf, ps, other]

Title: Path Tracking using Echoes in an Unknown Environment: the Issue of Symmetries and How to Break Them

Authors: Mireille Boutin, Gregor Kemper

Subjects: Metric Geometry (math.MG); Robotics (cs.RO)

[2]  arXiv:2403.01911 [pdf, other]

Title: Turtles, Hats and Spectres: Aperiodic structures on a Rhombic tiling

Authors: James Smith

Comments: 31 pages, 49 figures

Subjects: Metric Geometry (math.MG); Combinatorics (math.CO)

[3]  arXiv:2403.02925 [pdf, ps, other]

Title: Weighted floating functions and weighted functional affine surface areas

Authors: Carsten Schütt, Christoph Thaele, Nicola Turchi, Elisabeth M. Werner

Comments: arXiv admin note: text overlap with arXiv:1711.11088

Subjects: Metric Geometry (math.MG); Differential Geometry (math.DG); Functional Analysis (math.FA)

[4]  arXiv:2403.03969 [pdf, other]

Title: On Outer Bi-Lipschitz Extensions of Linear Johnson-Lindenstrauss Embeddings of Subsets of $\mathbb{R}^N$

Authors: Rafael Chiclana, Mark A. Iwen, Mark Philip Roach

Comments: 16 pages, 4 figures. arXiv admin note: substantial text overlap with arXiv:2206.03376

Subjects: Metric Geometry (math.MG); Data Structures and Algorithms (cs.DS); Numerical Analysis (math.NA)

[5]  arXiv:2403.04707 [pdf, other]

Title: The Variable Radius Form of the Extended Exterior Sphere Condition

Authors: Chadi Nour, Jean Takche

Subjects: Metric Geometry (math.MG)

[6]  arXiv:2403.05712 [pdf, ps, other]

Title: Higher-Order Reverse Isoperimetric Inequalities for Log-concave Functions

Authors: Dylan Langharst, Francisco Marín Sola, Jacopo Ulivelli

Comments: 25 pages; (v2-3): modifications of presentation

Subjects: Metric Geometry (math.MG); Functional Analysis (math.FA)

[7]  arXiv:2403.05734 [pdf, other]

Title: Cassini sets in taxicab geometry

Authors: Alexander Habib, Dylan Helliwell

Comments: 11 pages, 7 figures

Subjects: Metric Geometry (math.MG)

[8]  arXiv:2403.06127 [pdf, ps, other]

Title: A boundary for hyperbolic digraphs and semigroups

Authors: Matthias Hamann

Comments: 30 pages, arXiv:2110.13049v1 was split into two parts, this is the second part

Subjects: Metric Geometry (math.MG); Combinatorics (math.CO); Group Theory (math.GR)

[9]  arXiv:2403.06697 [pdf, ps, other]

Title: Additive kinematic formulas for convex functions

Authors: Daniel Hug, Fabian Mussnig, Jacopo Ulivelli

Subjects: Metric Geometry (math.MG); Functional Analysis (math.FA)

[10]  arXiv:2403.07457 [pdf, ps, other]

Title: Energy bounds for weighted spherical codes and designs via linear programming

Authors: Sergiy Borodachov, Peter Boyvalenkov, Peter Dragnev, Douglas Hardin, Edward Saff, Maya Stoyanova

Comments: 29 pages, submitted

Subjects: Metric Geometry (math.MG); Combinatorics (math.CO)

[11]  arXiv:2403.07493 [pdf, other]

Title: Signed graphs in data sciences via communicability geometry

Authors: Fernando Diaz-Diaz, Ernesto Estrada

Subjects: Metric Geometry (math.MG); Discrete Mathematics (cs.DM); Machine Learning (cs.LG); Combinatorics (math.CO); Physics and Society (physics.soc-ph)

[12]  arXiv:2403.07900 [pdf, ps, other]

Title: Applications of equidistant supporting surfaces of a convex body in the hyperbolic space

Authors: Marek Lassak

Comments: 7 pages. arXiv admin note: text overlap with arXiv:2401.07831

Subjects: Metric Geometry (math.MG)

[13]  arXiv:2403.10196 [pdf, ps, other]

Title: Euclidean rectifiability of sub-Finsler spheres in free-Carnot groups of step 2

Authors: Enrico Le Donne, Luca Nalon

Comments: 18 pages

Subjects: Metric Geometry (math.MG); Optimization and Control (math.OC)

[14]  arXiv:2403.10530 [pdf, ps, other]

Title: Calculating the sequences behind a hexagonal lattice based equal circle packing in the Euclidian plane

Authors: Jure Voglar, Aljoša Peperko

Comments: 10 pages, 1 figure, 2 tables

Subjects: Metric Geometry (math.MG)

[15]  arXiv:2403.10811 [pdf, ps, other]

Title: Analytic functions with hyperbolic range and Bohr's inequality

Authors: Yusuf Abu Muhanna, Issam Louhichi

Comments: 7 pages

Subjects: Metric Geometry (math.MG)

[16]  arXiv:2403.11360 [pdf, other]

Title: On the area of ordinary hyperbolic reduced polygons

Authors: Ádám Sagmeister

Comments: 8 pages, 1 figure

Subjects: Metric Geometry (math.MG)

[17]  arXiv:2403.11994 [pdf, ps, other]

Title: Stability of simplex slicing

Authors: Serhii Myroshnychenko, Colin Tang, Kateryna Tatarko, Tomasz Tkocz

Subjects: Metric Geometry (math.MG); Functional Analysis (math.FA)

[18]  arXiv:2403.12890 [pdf, ps, other]

Title: $\operatorname{SL}(n)$ contravariant function-valued valuations on polytopes

Authors: Zhongwen Tang, Jin Li, Gangsong Leng

Subjects: Metric Geometry (math.MG); Functional Analysis (math.FA)

[19]  arXiv:2403.13224 [pdf, other]

Title: Simplex slicing: an asymptotically-sharp lower bound

Authors: Colin Tang

Subjects: Metric Geometry (math.MG); Functional Analysis (math.FA)

[20]  arXiv:2403.14479 [pdf, ps, other]

Title: Uniformly rectifiable metric spaces satisfy the weak constant density condition

Authors: Jared Krandel

Comments: 19 pages

Subjects: Metric Geometry (math.MG); Classical Analysis and ODEs (math.CA)

[21]  arXiv:2403.14761 [pdf, ps, other]

Title: Quantitative Steinitz theorem and polarity

Authors: Grigory Ivanov

Subjects: Metric Geometry (math.MG)

[22]  arXiv:2403.15655 [pdf, other]

Title: Vietoris-Rips Complexes of Split-Decomposable Spaces

Authors: Mario Gómez

Subjects: Metric Geometry (math.MG); Algebraic Topology (math.AT)

[23]  arXiv:2403.16874 [pdf, other]

Title: Optimality of spherical codes via exact semidefinite programming bounds

Authors: Henry Cohn, David de Laat, Nando Leijenhorst

Comments: 32 pages, 1 figure

Subjects: Metric Geometry (math.MG); Information Theory (cs.IT); Optimization and Control (math.OC)

[24]  arXiv:2403.16932 [pdf, ps, other]

Title: On the Maximum Theta Series over Unimodular Lattices

Authors: Maiara F. Bollauf, Hsuan-Yin Lin

Subjects: Metric Geometry (math.MG); Information Theory (cs.IT)

[25]  arXiv:2403.18440 [pdf, other]

Title: Connections between metric differentiability and rectifiability

Authors: Iván Caamaño, Estíbalitz Durand-Cartagena, Jesús Á. Jaramillo, Ángeles Prieto, Elefterios Soultanis

Subjects: Metric Geometry (math.MG)