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Main Authors:	Dare, Emil, Kiderlen, Markus, Thaele, Christoph
Format:	Preprint
Published:	2024
Subjects:	Metric Geometry Probability 52A22, 53C65, 60D05
Online Access:	https://arxiv.org/abs/2404.14253
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Visibility and intersection density for Boolean models in hyperbolic space
by: Bühler, Tillmann, et al.
Published: (2025)

Intersections of Poisson k-flats in hyperbolic space: completing the picture
by: Bühler, Tillmann, et al.
Published: (2024)

Limit Theorems for the Volume of Random Projections and Sections of $\ell_p^N$-balls
by: Prochno, Joscha, et al.
Published: (2024)

Probabilistic intersection theory in Riemannian homogeneous spaces
by: Breiding, Paul, et al.
Published: (2025)

Random polytopes in convex bodies: Bridging the gap between extremal containers
by: Besau, Florian, et al.
Published: (2024)

On random disc-polygons in a disc-polygon
by: Fodor, Ferenc, et al.
Published: (2021)

Variance bounds for disc-polygons
by: Fodor, Ferenc, et al.
Published: (2021)

Generalised convexity with respect to families of affine maps
by: Kabluchko, Zakhar, et al.
Published: (2022)

Random approximation of convex bodies in Hausdorff metric
by: Prochno, Joscha, et al.
Published: (2024)

Discrete log-concavity and threshold phenomena for atomic measures
by: Brazitikos, Silouanos, et al.
Published: (2026)

On Random Simplex Picking Beyond the Blashke Problem
by: Beck, Dominik
Published: (2024)

The Probability that a Random Triangle in a Cube is Obtuse
by: Beck, Dominik
Published: (2025)

Central limit theorems for random boundary polytopes
by: Reitzner, Matthias, et al.
Published: (2025)

A central limit theorem for random disc-polygons in smooth convex discs
by: Fodor, Ferenc, et al.
Published: (2023)

Sharp estimates for the Cramér transform of log-concave measures and geometric applications
by: Brazitikos, Silouanos, et al.
Published: (2024)

On random approximations by generalized disc-polygons
by: Fodor, Ferenc, et al.
Published: (2019)

Sylvester's problem for beta-type distributions
by: Gusakova, Anna, et al.
Published: (2024)

Moments of the Cramér transform of log-concave probability measures
by: Giannopoulos, Apostolos, et al.
Published: (2025)

Sylvester's problem for random walks and bridges
by: Panzo, Hugo
Published: (2024)

Boolean models in hyperbolic space
by: Hug, Daniel, et al.
Published: (2024)

Geometric inequalities, stability results and Kendall's problem in spherical space
by: Hug, Daniel, et al.
Published: (2017)

Crofton formulas in pseudo-Riemannian space forms
by: Bernig, Andreas, et al.
Published: (2021)

Beta Polytopes and Beta Cones: An Exactly Solvable Model in Geometric Probability
by: Kabluchko, Zakhar, et al.
Published: (2025)

On the deterministic interior body of random polytopes
by: Pafis, Minas, et al.
Published: (2025)

Bounds on some geometric functionals of high dimensional Brownian convex hulls and their inverse processes
by: Panzo, Hugo, et al.
Published: (2024)

A refinement of the Sylvester problem: Probabilities of combinatorial types
by: Kabluchko, Zakhar, et al.
Published: (2025)

Kinematic formulas in convex geometry for non-compact groups
by: Anjos, Sílvia, et al.
Published: (2025)

Hyperbolic embedding of infinite-dimensional convex bodies
by: Long, Yusen
Published: (2023)

Fluctuations of $λ$-geodesic Poisson hyperplanes in hyperbolic space
by: Kabluchko, Zakhar, et al.
Published: (2022)

A quantitative central limit theorem for Poisson horospheres in high dimensions
by: Kabluchko, Zakhar, et al.
Published: (2023)

Expected perimeter of the convex hull of planar Brownian motion stopped upon exiting the unit disk
by: Panzo, Hugo, et al.
Published: (2026)

Random convex chains through the lens of analytic combinatorics
by: Besau, Florian, et al.
Published: (2025)

Variances and central limit theorems for random beta-polytopes and in other geometric models
by: Fodor, Ferenc, et al.
Published: (2025)

Random Polyhedral Cones I: Distributional Results via Gale Duality
by: Kabluchko, Zakhar
Published: (2026)

The probabilities for the number of intersections in the Buffon-Laplace needle problem in $\mathbb{R}^d$
by: Bäsel, Uwe
Published: (2025)

Minkowski tensors for point clouds and voxelized data: robust, asymptotically unbiased estimators
by: Hug, Daniel, et al.
Published: (2025)

A Closed Form for the Chord-Power Integral I_2 of a Triangle
by: Martirosyan, Mher, et al.
Published: (2026)

Angles of orthocentric simplices
by: Kabluchko, Zakhar, et al.
Published: (2025)

A limit theorem for Hausdorff approximation by random inscribed polytopes
by: Sonnleitner, Mathias
Published: (2025)

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