Cover Image

Intersections of Poisson k-flats in hyperbolic space: completing the picture

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Bühler, Tillmann, Hug, Daniel
Format:	Preprint
Published:	2024
Subjects:	Probability Metric Geometry Primary: 60D05, 53C65, 52A22, Secondary: 52A55, 60F05
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

Visibility and intersection density for Boolean models in hyperbolic space
by: Bühler, Tillmann, et al.
Published: (2025)

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

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

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

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

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

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

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)

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

A Blaschke-Petkantschin formula for linear and affine subspaces with application to intersection probabilities
by: Dare, Emil, et al.
Published: (2024)

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

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

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

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

Expected hyperbolic volumes of random beta polytopes
by: Kabluchko, Zakhar, et al.
Published: (2026)

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

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

The volume of hyperbolic Poisson zero cells: critical divergence and exact second moment
by: Bühler, Tillmann, et al.
Published: (2026)

The radial spanning tree in hyperbolic space
by: Rosen, Daniel, et al.
Published: (2024)

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

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

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

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

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

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

Seeing Through Hyperbolic Space: Visibility for $λ$-Geodesic Hyperplanes
by: Kabluchko, Zakhar, et al.
Published: (2026)

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

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)

Degrees in the $β$- and $β'$-Delaunay graphs
by: Bonnet, Gilles, 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)

Illumination Bodies in Projective Geometries
by: Assouline, Rotem, et al.
Published: (2026)

On creating convexity in high dimensions
by: Johnston, Samuel G. G.
Published: (2025)

Maximal sections of the unit ball of $l^n_p(\mathbb{C})$ for $p > 2$
by: Jakimiuk, Jacek, et al.
Published: (2024)

Intersections of randomly translated sets
by: Visonà, Tommaso
Published: (2023)

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

Intrinsic volumes of $\ell_p$-balls and a continuum of Maxwell--Poincaré--Borel laws for their curvature measures
by: Kabluchko, Zakhar, et al.
Published: (2026)

Iterated-logarithm laws for convex hulls of random walks with drift
by: Cygan, Wojciech, et al.
Published: (2023)