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Bibliographic Details
Main Authors:	Hug, Daniel, Klatt, Michael A., Pabst, Dominik
Format:	Preprint
Published:	2025
Subjects:	Statistics Theory Disordered Systems and Neural Networks Metric Geometry Probability 94A08, 68U10, 60D05, 53C65, 28A75, 62H35, 52A22
Online Access:	https://arxiv.org/abs/2502.00092
Tags:	Add Tag No Tags, Be the first to tag this record!

The $L_p$-floating area, curvature entropy, and isoperimetric inequalities on the sphere
by: Besau, Florian, et al.
Published: (2024)

On the (outer) Minkowski content with lower-dimensional structuring element
by: Kiderlen, Markus, et al.
Published: (2025)

Asymptotic order of the quantization errors for self-affine measures on Bedford-McMullen carpets
by: Zhu, Sanguo
Published: (2016)

On the optimal Voronoi partitions for Ahlfors-David measures with respect to the geometric mean error
by: Zhu, Sanguo, et al.
Published: (2020)

The $m$th order Orlicz projection bodies
by: Zhou, Xia, et al.
Published: (2025)

Asymptotic order of the quantization error for a class of self-similar measures with overlaps
by: Zhu, Sanguo
Published: (2024)

Some comments on the mth-order Projection Bodies
by: Langharst, Dylan
Published: (2025)

Small volume bodies of constant width
by: Arman, Andrii, et al.
Published: (2024)

General Higher Order $L^p$ Mean Zonoids
by: Langharst, Dylan, et al.
Published: (2023)

On the $m\mathrm{th}$-Order Weighted Projection Body Operator and Related Inequalities
by: Langharst, Dylan, et al.
Published: (2023)

On the $m$th order $p$-affine capacity
by: Zhou, Xia, et al.
Published: (2025)

Support measures in fractal geometry
by: Radunović, Goran, et al.
Published: (2025)

Higher-Order Lp Isoperimetric and Sobolev Inequalities
by: Haddad, Julián, et al.
Published: (2023)

Weighted Berwald's Inequality
by: Langharst, Dylan, et al.
Published: (2022)

Small Volume Bodies of Constant Width with Tetrahedral Symmetries
by: Arman, Andrii, et al.
Published: (2024)

On the polar of Schneider's difference body
by: Haddad, Julián, et al.
Published: (2025)

Review of Steiner formulas in Fractal Geometry via Support measures and Complex Dimensions
by: Radunović, Goran
Published: (2025)

Parametrizability of infinitely generated attractors
by: Shaw, Eve, et al.
Published: (2023)

A geometric approach to Poincaré inequality and Minkowski content of separating sets
by: Caputo, Emanuele, et al.
Published: (2024)

The moment of inertia tensor of an oloid
by: Huisman, Sander G.
Published: (2026)

Hölder curves with exotic tangent spaces
by: Shaw, Eve, et al.
Published: (2024)

General Measure Extensions of Projection Bodies
by: Langharst, Dylan, et al.
Published: (2021)

Tropical measures, anisotropic isoperimetric inequality and honeycomb
by: Rosenmann, Amnon
Published: (2026)

On The Fourier Mean Bodies of a Convex Body
by: Langharst, Dylan, et al.
Published: (2026)

A quantitative version of the Steinhaus theorem
by: Iosevich, Alex, et al.
Published: (2024)

Pseudotangents to Lipschitz curves
by: Shaw, Eve
Published: (2025)

On the Density Problem in Heisenberg Rectifiability
by: Idu, Kennedy Obinna
Published: (2025)

An improved bound for sumsets of thick compact sets via the Shapley--Folkman theorem
by: Kominers, Scott Duke
Published: (2026)

On Busemann--Hausdorff densities of dimension two and of codimension two, with an application to Plateau Problem
by: Vasilyev, Ioann
Published: (2022)

On low-dimensional uniform rectifiability in Heisenberg groups
by: Fässler, Katrin, et al.
Published: (2026)

On Minkowski symmetrizations of $α$-concave functions and related applications
by: Hoehner, Steven
Published: (2023)

The extreme polygons for the self Chebyshev radius of the boundary
by: Nikitenko, Evgenii V., et al.
Published: (2023)

Perfect and almost perfect homogeneous polytopes
by: Berestovskii, V. N., et al.
Published: (2023)

New fiber and graph combinations of convex bodies
by: Hoehner, Steven, et al.
Published: (2025)

Isosceles trapezoids of unit area with vertices in sets of infinite planar measure
by: Koizumi, Junnosuke
Published: (2025)

On $L_p$ Brunn-Minkowski type inequalities for a general class of functionals
by: Malagón, Lidia Gordo, et al.
Published: (2025)

$C^{1,α}$-rectifiability in low codimension in Heisenberg groups
by: Idu, Kennedy Obinna, et al.
Published: (2021)

A note on the diameter of small sub-Riemannian balls
by: Di Marco, Marco, et al.
Published: (2025)

Entropic and functional forms of the dimensional Brunn--Minkowski inequality in Gauss space
by: Aishwarya, Gautam, et al.
Published: (2025)

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