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Every paper Pith has read. Search by title, abstract, or pith.
307 papers in math.MG · page 3
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Unlabeled distances recover generic point sets when m exceeds n
Euclidean distance geometry and the orthogonal beltway problem
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Brownian tree conformal dimension is 1
The conformal dimension of the Brownian tree is one
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Equivariant coarse Baum-Connes equals groupoid version
A groupoid approach to the equivariant coarse Baum--Connes conjecture
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Hyperbolic tilings by n-gons are finite when tile count is fixed
Tiling of Hyperbolic Surface by Multiple Tiles
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Minimal-curvature surfaces bound flat convex bodies
Total absolute curvature and rigidity of surfaces in Cartan-Hadamard manifolds
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Limit formula for observable diameters with non-Euclidean screens
Observable diameters with varying screens
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Every knot type matches the unknot's p-density for p up to 2
Unconstrained and Ropelength-Windowed $p$-densities of Knot Types
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8D sphere packing proof formally verified in Lean
Progress in Formalizing Sphere Packing in Dimension 8
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Timelike Ricci bounds equal entropy convexity in Orlicz Lorentzian transport
Timelike Ricci curvature lower bounds via optimal transport for Orlicz-type Lorentzian costs
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Ricci bounds equal entropy convexity via generalized Lorentzian transport
Timelike Ricci curvature lower bounds via optimal transport for Orlicz-type Lorentzian costs
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Continuous Lorentzian metrics yield infinitesimally Minkowskian spacetimes under causalsim
Infinitesimal Minkowskianity for manifolds with continuous Lorentzian metrics
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Timed-Gromov-Hausdorff distance equals timed-Hausdorff distance up to constants
Convergence of Timed-Metric Spaces and Causality
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Hypergraphs with cliques over any c<1 of vertices need arbitrary piercers
Piercing all maximum cliques in hypergraphs
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Theta numbers bound densities of spherical polygon packings
Bounding the density of spherical polygon packings
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Grid on colored image produces every hat tiling
A construction of the hat tilings by a Markov partition
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Exact class of sets reconstructible from medial axis found
Sets Reconstructable with Medial Axis
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Weighted angle sums define a metric on strings at all scales
A weighted angle distance on strings
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All equidistant decompositions of plane and sphere classified
Submetry onto one-dimensional space
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Plane and sphere equidistant decompositions fully classified
Submetry onto one-dimensional space
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l_p convex hull distance is subadditive up to max{1,2^{p-2}} in the plane
A sharp $p$-subadditive bound for the $l_p$ Hausdorff distance from convex hull
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Algebraic conditions make fractal intersections self-affine
On the intersections of homogeneous self-similar sets with their translates in $\mathbb{R}^{n}$ and a formulation of multiplicative invariance in $\mathbb{Z}^{n}$
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Colorful matroidal theorem solves Goodman-Pollack transversal problem
On colorful generalizations of the Goodman--Pollack transversal problem
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Matroidal joins prove colorful transversals exist
On colorful generalizations of the Goodman--Pollack transversal problem
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Sierpiński carpet products fail to attain conformal dimension
Cartesian products of Sierpi\'nski carpets do not attain their conformal dimension
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Explicit formula for right-invariant metric on disk automorphisms
The right invariant metric on the analytic automorphism group of the unit open disk induced by maximal modulus
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Codim-1 varieties stratify by Voronoi cone dimension
Algebraic Distance Optimization in Polyhedral Norms
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Exact formula for expected perimeter of Brownian motion convex hull
Expected perimeter of the convex hull of planar Brownian motion stopped upon exiting the unit disk
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Conditions ensure absolute continuity for graph Wasserstein barycenters
Wasserstein barycenters on metric graphs
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Which convergence best captures zero-mass theorem stability is open
Geometric Stability of the Schoen-Yau Zero Mass Theorem
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Rado constant for high-d balls: between 3^{-d} and 2.447^{-d}
Rado's covering problem for cubes and balls: a semi-survey
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LQG geodesic tree determines unique CaTherine wheel
CaTherine wheels from trees and Liouville quantum gravity
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Lipschitz curve meets every C1 horizontal curve only in measure zero
A Lipschitz curve in a Carnot group that is purely unrectifiable by smooth horizontal curves
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Generic maps send d-tangent sets to dimension at most d
Perturbations of measures and sets having curves in d directions
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Erdős diameter conjecture fails in high dimensions
Erd\H{o}s's diameter conjecture for separated distances fails in high dimensions
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Liouville theorems and recurrence describe graphs at infinity
Graphs at infinity: Liouville theorems, Recurrence and Characterization of Dirichlet forms
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Almost all projections match Φ-intermediate dimension profiles
Projection Theorems for $\Phi$-Intermediate Dimensions
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Double-twist Laves network built on the three-sphere
Variations on the Three-Sphere: Laves' Labyrinth Lopped
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Log-concave samples yield random spaces at distance cn/log(1+m/n)
Banach-Mazur distances and basis constants of isotropic log-concave random spaces
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Every pyramid has a unique direct sum decomposition
Direct sums and decompositions of Gromov's pyramids
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Lattice points in 4D cones parametrize 4-colored sphere triangulations
The Four Color Theorem meets Shapes of Polyhedra
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Hausdorff metric completes the space of Cauchy hypersurfaces
Hausdorff-type metric geometry of the space of Cauchy hypersurfaces
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Curvature equals Brunn-Minkowski inequality in synthetic spacetimes
The equivalence between timelike Ricci curvature and the timelike Brunn Minkowski inequality on synthetic Lorentzian spaces
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Disk is only convex shape floating in equilibrium at every angle for density 1/6
Rigidity in the Planar Ulam Floating Body Problem with perimetral density $\sigma=\tfrac16$
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Metrics and measures alone characterize Ricci flows
On weak formulations of (super) Ricci flows
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Uncovered sphere volume after random caps is asymptotically normal
Central Limit Theorem for Random Partial Sphere Coverings in High Dimensions
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Ptolemaic graphs are smooth exactly when K1,1,3-free
Smooth Graphs
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Quasi-median graph actions determine relative ends and coends
Relative numbers of ends and quasi-median graphs
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Sphere characterized by axial symmetry and homothety in projections
A characterization of the sphere in terms of the stereographic projection
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Nested tree space is CAT(0) with unique geodesics
Nested tree space: a geometric framework for co-phylogeny