archive
Every paper Pith has read. Search by title, abstract, or pith.
307 papers in math.MG · page 4
-
Sum of thick compact sets has interior after n > sqrt(d)/c^2
An improved bound for sumsets of thick compact sets via the Shapley--Folkman theorem
-
Midpoint hexagons lock all later centroids onto one fixed line
Exact colinearity of centroids of iterated midpoint hexagons
-
Triangles classified that tile only in square numbers
Solution of Erd\H{o}s Problem 633
-
Apollonius centers from n+2 spheres meet at one point
On the Inscribed Sphere and Concurrent Lines through the Centers of Apollonius Spheres in $\mathbb{R}^n$
-
New Lemoine-type circle from six cocyclic points on triangle
A New Lemoine-Type Circle
-
Minimal area of polynomial lemniscates resolved for capacity >1 sets
A note on the Erd\"os minimal area problem
-
Bilinear Kakeya inequality holds in Heisenberg group
A Bilinear Kakeya Inequality in the Heisenberg Group
-
Non-convex shapes always enclose more volume than convex ones under fixed paper
On the maximum volume solid wrappable by a given sheet of paper
-
Convex hypersurfaces satisfy sphere volume bound in all dimensions
Area and antipodal distance in convex hypersurfaces
-
Self-volume keeps perimeter-to-volume ratio exactly n
Self perimeter of convex sets
-
Varifold distances on RNA velocity curves recover cell trees
VeloTree: Inferring single-cell trajectories from RNA velocity fields with varifold distances
-
Counterexamples refute shifted Lonely Runner Conjecture at five runners
Coloopless zonotopes and counterexamples to the Shifted Lonely Runner Conjecture
-
Analytic sub-Riemannian manifolds admit interior singularities in minimizing geodesics
Interior singularity and branching of geodesics in real-analytic sub-Riemannian manifolds
-
Quasi-isometry to bounded graph yields triangulation
Triangulating surfaces quasi-isometrically
-
Hilbert ball coverings dual under polarity with c^d bounds
On the Duality of Coverings in Hilbert Geometry
-
Borsuk-Ulam on Stiefel manifolds gives orthogonal hyperplane partitions
Borsuk-Ulam type theorem for Stiefel manifolds and orthogonal mass partitions
-
Minkowski bodies differ by measure distance to power 1/(n-1)
Quantitative Stability for Minkowski's problem
-
Spherical 3-manifolds arise as limits of flat SU(2)-bundles over hyperbolic surfaces
Collapsing Flat ${\rm{SU}}(2)$-Bundles to Spherical 3-Manifolds
-
Radial mean bodies convex for all p > -1
Convexity of Radial Mean Bodies via an extension of Ball's Bodies
-
Plane point sets obey square-root neighbor-antipode ratio
Spectral Bounds for Antipodal Graphs
-
Nonlinear Fubini theorem gives pointwise geometry for L^p curves
Nonlinear Lebesgue spaces: Curves and geometry
-
Kähler-Ricci flows converge to twisted Einstein metric completions
Gromov-Hausdorff limits of immortal K\"ahler-Ricci flows
-
Polynomial root decides if vectors admit equal-angle sectors
Algebraic Characterizations of Angle Multisections over Rings
-
Strength function makes simplices stable under small moves
The strength of a geometric simplex
-
Cantor sets gain stable intersections above dimension sum d
Cantor sets in higher dimensions II: Optimal dimension constraint for stable intersections
-
Chord Sobolev inequalities complete sharp analytic family
Chord Sobolev inequalities
-
The paper proves that Steiner trees away from the terminals satisfy Ahlfors-David…
Universal Ahlfors--David regularity of Steiner trees
-
Numerical method tracks genuine motions in geometric constraints
Approximating Continuous Motions of Geometric Constraint Systems
-
Complete Busemann spaces with MCP measures are rigid
Busemann and MCP
-
Permutons have Chebyshev radius 1/4
Chebyshev centers and radius of the set of permutons
-
Square covering size matches for boundary and full only up to n=4
Covering a square by congruent squares
-
Covering minima bounded above by projections and intersections
Upper Bounds on Covering Minima of Convex Bodies
-
Road graphs flag rural areas via hyperbolic triangles
Observing rurality of a geographical area from road graph geometry -- a qualitative study
-
Fixed point theorems proven for F-perturbed mappings in perturbed spaces
Fixed point theorems on perturbed metric space with an application
-
Incenter stays rational over k exactly when bisectors do
Rational Angle Bisection Problem in Higher Dimensional Spaces and Incenters of Simplices over Fields
-
Closed-form conditions classify all finite groups of quarter-plane walks
Finite Groups of Random Walks in the Quarter Plane and Periodic $4$-bar Links
-
Positive-reach sets get full local structure map in two dimensions
A characterization of the local structure of two-dimensional sets with positive reach
-
Lipschitz harmonic functions on nilpotent groups are affine
The Lipschitz Liouville Property, Affine Rigidity, and Coarse Harmonic Coordinates on Groups of Polynomial Growth
-
Global maps from local sections solve Banach subspace problem
A solution to Banach conjecture
-
Flat hulls organize ranks, regularity and parallelity
Linear Geometry: flats, ranks, regularity, parallelity
-
Explicit upper bound derived for Brascamp-Lieb constants
Effective Brascamp-Lieb inequalities
-
Uniformization classifies infinite regular circle patterns
Characterizations of infinite circle patterns and convex polyhedra in hyperbolic 3-space
-
Functions preserve matrix positivity in every dimension
The entrywise calculus and dimension-free positivity preservers, with an Appendix on sphere packings
-
AI agent rediscovers best math solutions and finds improvements
Mathematical exploration and discovery at scale
-
Triangle unions reach linear side maxima via shifts
Regular triangle unions with maximal number of sides
-
Sorted projections embed point sets with quadratic distortion
Quantitative Bounds for Sorting-Based Permutation-Invariant Embeddings
-
Angles alone fix all edge-to-edge pentagon tilings of the sphere
Edge-to-edge Tilings of the Sphere by Angle Congruent Pentagons
-
Finitely many quasi-homogeneous domains in Einstein-de Sitter space
On Markowitz's pseudodistance for conformal manifolds
-
Disintegration maps flag metric measure foliations
Characterization of foliations via disintegration maps
-
Relative hyperbolicity reduces twisted coarse conjecture to subgroups
The twisted coarse Baum--Connes conjecture and relative hyperbolic groups