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Every paper Pith has read. Search by title, abstract, or pith.
307 papers in math.MG · page 2
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Subgaussian vectors equal sum of fixed Gaussians in any dimension
On Talagrand's Convexity Conjecture
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Strip measures with pure-point spectra grow exponentially
Some properties of Fourier quasicrystals and measures on a strip
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Random lattices approximate Poisson points with exp-small error
Poisson approximation of random lattices
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Branching conditions send flats near flats in CAT(0) cube complexes
From branching quasiflats to flats in CAT(0) cube complexes
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Random shift cuts Buffon discrepancy bound to L^{1/5} (log L)^{2/5}
Randomly Shifted Steinhaus Longimeters and Buffon Discrepancy
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Excluded-minor graphs pack paths or block with f(k) balls of radius O(r)
Coarse Menger property of quasi-minor excluded graphs and length spaces
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Observable Wasserstein recovers exact distance above covering-dimension order
The Observable Wasserstein Distance
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Convex polytope uniquely fixed by its flotation surface
Uniqueness of Flotation and Buoyancy Surfaces for Convex Polytopes
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Every 3D convex body has volume product at least 64/9
The non-symmetric Mahler conjecture in dimension three
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3D convex bodies have non-symmetric volume product at least 64/9
The non-symmetric Mahler conjecture in dimension three
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Controlling maps establish coarea inequality in Lorentzian spaces
Lorentzian coarea inequality
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Coarea inequality holds for Lorentzian Hausdorff measure
Lorentzian coarea inequality
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4D point sets avoid near-integer distances at linear scale
Point sets avoiding near-integer distances
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Closed polylines with uniform k crossings per edge exist for large n
Closed polylines with fixed self-intersection index
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Closed polylines with uniform crossings per edge exist for large n
Closed polylines with fixed self-intersection index
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Closed n-edge polylines with uniform k crossings exist for k=3,4,6
Closed polylines with fixed self-intersection index
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Sections pair by harmonic homologies only if the body is an ellipsoid
A characterization of the ellipsoid in terms of pairs of sections associated by a harmonic homology
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Zonotope containment gets O(√d) approximation algorithm
Nearly-Tight Bounds for Zonotope Containment and Beyond
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Polygonal self-affine dendrites bound arc diameters by distance to a power
On metric properties of self-affine polygonal dendrites
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Mass at infinity generalizes Maz'ya-Shaposhnikova formula
Closing the gap: Maz'ya-Shaposhnikova and asymptotics of fractional perimeters
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Rotational symmetrization maximizes convex function approximations
Generalized outer linearizations and extremal properties of rotational epi-symmetrizations
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Magnitude of R-trees equals 1 plus half total length
Magnitude and diversity of trees
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Proximal splitting converges quantitatively in p-uniformly convex spaces
Quantitative Convergence of Proximal Splitting Iterations in Uniformly Convex Metric Spaces
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Knots recognized by finite patterns at ropelength scale L_char,u(K)
Finite Knot Theory via Ropelength-Filtered Reidemeister Graphs
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Graph approximations yield harmonic functions in metric spaces
Approximation of harmonic functions on metric measure spaces of controlled geometry via discrete graphs
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Timelike Ricci bounds stable under uniform metric limits
Stability of Synthetic Timelike Ricci Bounds under $C^0$-Limits and Applications to Impulsive Gravitational Waves
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Finitely presented groups with k-planar Cayley graphs have planar finite-index subgroups
Almost planar finitely presented groups
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Log-concave measures obey Brunn-Minkowski with exponent 1/(n^3 log n)
Functional perimeter and the dimensional Brunn-Minkowski inequality for log-concave measures
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Cosine matrix beats simplex for Gaussian minima moments
A revision of Litvak's conjecture on Gaussian minima and a volumetric zone conjecture
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Sierpiński triangle always contains equilateral triangle of full local radius
How Thick Is the Sierpi\'nski Triangle?
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The paper proves existence and convergence for sequences from the proximal point method…
The proximal point method and its two variants for monotone vector fields in Hadamard spaces
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Sion's minimax theorem holds in Hadamard spaces
Sion's minimax theorem and the proximal point algorithm in Hadamard spaces
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4D revolution bodies with constant tangent sections are balls under Diophantine condition
On convex bodies with constant non-central sections
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Scalar curvature rigidity holds on odd-dimensional cone singularities
Lipschitz rigidity for scalar curvature on singular manifolds in odd dimensions
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Minimal networks in hyperspaces reduce to finite-distance classes
Minimal Parametric Networks in Hyperspaces and their Properties
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Minimal networks in hyperspaces nontrivial only with finite distances
Minimal Parametric Networks in Hyperspaces and their Properties
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Knot optimizations split into distinct density and compression problems
Geometric densities and compression radii of knot types
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Expected 3D hyperbolic polytope volume equals π(n/2 minus harmonic sum)
Expected hyperbolic volumes of random beta polytopes
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Cubic support forces visible cliques of size Omega(n/s)
Visibility cliques, cubic containers, and dense orchard cores
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Every smooth Jordan curve inscribes every isosceles trapezoid
Inscriptions of Isosceles Trapezoids in Jordan Curves
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Condition on sphere sets forces infinite convex hull volume in H^3
Convex Hull Volumes in Hyperbolic 3-Space
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Geometric condition predicts infinite volume for hyperbolic convex hulls
Convex Hull Volumes in Hyperbolic 3-Space
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Planar convex bodies with one interior point have width at most 3
Exact Flatness Constant for One-Point Convex Bodies and the Discrete Isominwidth Problem: The Planar Case
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Cowaist refinement yields sharp systolic bounds on projective spaces
Stable systolic inequalities via mod n covering
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Mod n coverings give stable two-systole bound of 2 for S2×S2
Stable systolic inequalities via mod n covering
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Four-symbol coding gives bijection between words and pedal triangles
Primitive Two-Dimensional Words and Iterated Pedal Triangles via Symbolic Coding
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Stellated tetrahedron fails Rupert test in over 88% of orientations
A stellated tetrahedron that is probably not Rupert
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Directional curvature criterion reaches medial axis singularities
Directional curvature and medial axis
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Sets containing every translated meridian have dimension at least n-1
The Hausdorff dimension of sets containing circles in many directions
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Poncelet inversive circumcenter traces conic
Conic locus of inversive Poncelet circumcenter and two points of invariant circle power