Affine fractional Orlicz--Sobolev inequalities and optimal star bodies arXiv:2610.30689 Dual medial axes in finite-dimensional normed spaces arXiv:2610.30878 Lipschitz clustering in normed spaces and barycentric spaces arXiv:2610.31555

Lipschitz numbers and fine differentiability on metric measure spaces arXiv:2610.29359 Examples of absolutely minimal polyhedral chains in maximum norm spaces arXiv:2610.29593 Macroscopic Poincar\'e Inequalities and Weak-Type Characterizations ... arXiv:2610.29789

Spherically Supported Sets with Variable Radii arXiv:2610.28789 A counterexample to Gale's conjecture in \mathbb{R}^3 arXiv:2610.28828 Strongly log-concave measures and lattices arXiv:2610.29238

Metrization of the Fell Topology and the Wijsman Topology for the Bo... arXiv:2610.27795 Median spaces with the strict separation property and superrigidity ... arXiv:2610.27866 An exact formula for optimal axis-parallel packing of eight squares arXiv:2610.28504

Braid spaces have no geodesic loops arXiv:2610.27437 An orthogonality inequality in \mathbb{RP}^{n-1} and the double-cap ... arXiv:2610.27523 A cut-and-project set which is not bi-Lipschitz equivalent to a lattice arXiv:2610.27640

Inscribed 4-polytopes of maximal volume with seven and eight vertices arXiv:2610.26886 The Volume Exchange Metric arXiv:2610.26897 Littlewood's mutually touching cylinders: the maximum is seven arXiv:2610.26940

Finite convexification by Minkowski summation arXiv:2610.26744

Infinitesimally Euclidean metric surfaces arXiv:2610.24626 Distributions of metric n-point invariants and applications to molec... arXiv:2610.26070 Depth based on translates of a convex body: geometry, floating bodie... arXiv:2610.26108

Sharp Gromov Hyperbolicity Constants for Cartesian Products of Finit... arXiv:2610.24253 Dimension Thresholds for Relative-Error Representations of Finite Me... arXiv:2610.24254 Every Extended Metric Space Is Isometrically Embeddable into the Gro... arXiv:2610.24279

Axis-parallel square packing with an exact formula for optimal packi... arXiv:2610.22622 Rational Area Profiles of Regular Polygons Cut by Two Congruent Diag... arXiv:2610.22970 Stability of Hyperplane Projections of the Regular Simplex and L_p-P... arXiv:2610.23489

Napoleonic triangles on the sphere from similar chord triangles arXiv:2610.21408 On the Solution Sets of the Cone-Volume Map arXiv:2610.21533 SL(n)-covariant symmetric tensor valuations on polytopes arXiv:2610.22114

Strong Negative Type of Star-shaped Manifolds arXiv:2610.20023

Blaschke--Santal\'o inequalities with respect to costs arXiv:2610.19085 Orthogonal partition by four hyperplanes arXiv:2610.19214 A short open space curve of unit width arXiv:2610.19585

Pointed Gromov-Hausdorff Distance between l^p-Wedge Sums and Isometr... arXiv:2610.12626 Each simplex in \mathbb{R}^4 has a point with at least 14 emanating ... arXiv:2610.13475

A Smooth Covariogram and the Transition Between Projection Bodies arXiv:2610.11700 Embedding large subsets of Wasserstein spaces into Banach spaces arXiv:2610.12029

Doubling, Poincar\'e and Gromov-Hausdorff precompactness for tamed s... arXiv:2610.11478 On the Graph Corresponding to Center of Distances of Metric Space arXiv:2610.11596 Intermediate coverings, random images, and projections arXiv:2610.11680

Sharp Minimax Gram-Determinant Asymptotics for Labelled Unit Decompo... arXiv:2610.10979 A sharp minimum for cube-apex bodies in every dimension arXiv:2610.11014 The Erd\H{o}s similarity problem for null sequences with adjacent ra... arXiv:2610.11449

Korevaar-Schoen Energy and Interpolations of Fractional Sobolev mapp... arXiv:2610.10551 The Erd\H{o}s-Falconer distance problem in the integer lattice arXiv:2610.10665 Symmetric products of absolute Lipschitz retracts arXiv:2610.10976

The centered logarithmic Brunn--Minkowski inequality arXiv:2610.10152 On determination of convex bodies by their section functions arXiv:2610.10229 Interpolating between Hausdorff and packing dimensions arXiv:2610.10375

Hyperbolicity Beyond Convexity in the Alexandrov-Fenchel Inequality arXiv:2610.08746