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Every paper Pith has read. Search by title, abstract, or pith.
307 papers in math.MG · page 1
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Signs keep vector sums in zonotopes within C sqrt(d) bound
Optimal Vector Balancing for Zonotopes
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Stokes theorem on graded groups depends only on submanifold degree
Stokes' theorem on positively graded groups
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Geodesic integrals define magnitude matching volume
Magnitude of metric measure spaces and integrals over geodesics
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Three classical theorems derived from one Gram matrix
A unified approach to Penner, Ptolemy, and Casey's theorems in several dimensions
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Full-chord sets reach polylog Buffon discrepancy
Polylogarithmic Full-Chord Buffon Discrepancy
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0/1-polytopes uniquely decompose into indecomposables
Indecomposability of 0/1-polytopes
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Orbit distances match Wasserstein distances for normal operators
A $\mathrm{C}^*$-algebraic Hoffman-Wielandt theorem
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Sphere replaces hyperplane to yield new equidistant functions
On a special class of equidistant sets in the Euclidean space
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Persistent homology extends fractal Euler number to Cantor dust
An extension of fractal Euler number via persistent homology
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Billiard paths compute optimal mower radius and length in square
Billiard Lawn Mowers
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Quasiconformal maps on closed manifolds resist small-distortion decomposition
Indecomposable Quasiconformal Maps of Manifolds
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Lower bound 2st/(s+2t) for Fourier dim of (s,t)-Kakeya sets
Fourier analytic variants of the Furstenberg and Kakeya problems
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Four minimal spheres with area bounds exist in positive-Ricci three-spheres
Minimal spheres and scalar curvature
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Uniform expansion produces thresholds for all monotone properties in geometric graphs
Thresholds for geometric graphs
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Directed landscape Martin boundary equals horofunction boundary
The Martin boundary of the Directed Landscape
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Fibonacci lattice energies equal linear growth plus constant
Precise Asymptotics and Exact Formulas for Tensor Product Energies of Fibonacci Lattices
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Proof settles L^p projection centroid conjecture
A positive solution to the $L^p$ projection centroid conjecture
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Point sets achieve over n^1.014 unit distances
An explicit lower bound for the unit distance problem
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Special groups avoid F2×F2 for linear polynomial hyperbolicity
Polynomial hyperbolicity and products of free groups
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Brascamp-Lieb inequality bounds fractal dimensions from projections
Brascamp--Lieb inequalities for fractal dimensions
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Kähler manifolds with positive curvature obey sharp 2-systole bounds
Sharp systolic inequalities for K\"ahler manifolds
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Amicable lattice rhombuses are equable
Amicable Lattice Rhombuses are Amicable
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Vanishing of W(G,N) equates mixed and ordinary stable commutator lengths
Coarse geometry of stable mixed commutator length I: duality and functional analysis on chains
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Space of ε-nets on the real line is contractible
Contractibility of the space of $\varepsilon$-nets in $\mathbb{R}$
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Three regimes fix perimeter and area limits for self-similar fractals
A Scaling-Parameter Framework for Perimeter and Area in Self-Similar Planar Fractals
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Borsuk number b(4) now at most 8
Reducing the upper bound for the Borsuk number in $\mathbb{R}^4$ to 8
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Golden ratio Thompson groups embed into asynchronous rational group
Geometric properties of the golden ration Thompson's group
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Blaschke sums maximize functional affine surface area for radial log-concave functions
Blaschke operations on log-concave functions and affine isoperimetric inequalities
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Bounded K_4 operator implies rectifiable curve in Heisenberg group
On singular integrals with non-negative kernels in the Heisenberg group
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Nil 3-manifolds wrap with flexible exponent 8/3
Flexible exponent of geometric 3-manifolds and Legendrian maps of Seifert spaces
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2-coloring of 2-sphere avoids mono unit triangles
Monochromatic unit equilateral triangle on low-dimensional spheres
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Explicit map gives first isometric immersion of flat Klein bottle
An isometric immersion of a flat Klein bottle into Euclidean 3-space
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Piecewise linear map immerses flat Klein bottle into R^3
An isometric immersion of a flat Klein bottle into Euclidean 3-space
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Eisenpint arrangement equals all primitive Eisenstein packings
Eisenstein circle packings and the Eisenpint Schmidt arrangement
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Coarea formula holds for maps from Heisenberg group to R^{2n}
Area of H\"older curves and coarea formula on the Heisenberg group
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Concentration on invariant subspaces decides dual Minkowski existence
The Dual Minkowski Problem under Group Actions
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Generalized Apollonius circle matches equioptic curves in curved spaces
Generalized Apollonius Circles As Equioptic Curves Of Circles In Constants Curvature Geometries
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Simple geodesics on punctured tori repeat any length at most C(log L)^2 times
McShane-Rivin norm balls and simple-length multiplicities
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Geometric shadow systems prove 3D symmetric Mahler bound
The Symmetric Mahler Inequality in Dimension Three via Admissible Shadow Systems
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Barriers near Jones bound must align normals with symmetrized body
Stability for barriers of n-dimensional convex bodies with surface area close to Jones' bound
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Cycle graphs allow quasiisometric embeddings of Artin groups without subgroups
Quasiisometric embeddings between right-angled Artin groups: flexibility
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Two cases control distance product optimization in triangles
An optimization problem for triangles
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Branching conditions imply rigidity for RAAG quasiisometric embeddings
Quasiisometric embeddings between right-angled Artin groups: rigidity
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Rational simplices allow any positive rational squared edge length above codim 2
Squared edge lengths of regular simplices with rational vertices
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Adaptive weights add feature selection to FGW distances
Fused Gromov-Wasserstein Distance with Feature Selection
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ℓ_p-balls have intrinsic volumes given by one-dimensional integrals
Intrinsic volumes of $\ell_p$-balls and a continuum of Maxwell--Poincar\'e--Borel laws for their curvature measures
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Sprout graph determines dendrite topology
Self-similar dendrites with finite boundary and P-sprouts
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Timelike curvature bounds survive ℓ-convergence of generalized cones
Convergence of Lorentzian spaces and curvature bounds for generalized cones
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3D Hamiltonian encodes qubit for exponential time at finite temperature
A passive self-correcting quantum memory in three dimensions
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Convex bodies have Gaussian marginals in most directions
Dimension-free Gaussian tail estimates for linear functionals on convex bodies