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)