Cover Image

The Sylvester question in $\mathbb{R}^d$: convex sets with a flat floor

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Marckert, Jean-François, Morin, Ludovic
Format:	Preprint
Published:	2024
Subjects:	Combinatorics Probability 60D05(Primary), 52A22(Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Conditioning random points by the number of vertices of their convex hull: the bi-pointed case
by: Marckert, Jean-François, et al.
Published: (2025)

Probability that $n$ points are in convex position in a general convex polygon: Asymptotic results
by: Morin, Ludovic
Published: (2024)

Probability that $n$ points are in convex position in a regular $κ$-gon : Asymptotic results
by: Morin, Ludovic
Published: (2024)

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

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

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

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

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

Straight-line optimality in Bellman's lost-in-a-forest problem for Euclidean balls
by: Treeby, David, et al.
Published: (2026)

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

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

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

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

On the moments of the volume for random convex chains
by: Gusakova, Anna, et al.
Published: (2025)

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

Non-Gaussian limits for diameter and perimeter of convex hulls of multiple random walks
by: Cygan, Wojciech, et al.
Published: (2025)

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

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

Bounds on the size of the convex hull of planar Brownian motion and related inverse processes
by: Cygan, Wojciech, et al.
Published: (2023)

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)

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

Central limit theorems for high dimensional lattice polytopes: cosmological polytopes
by: Donzelmann, Torben, et al.
Published: (2026)

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

Moments of the Cramér transform of log-concave probability measures
by: Giannopoulos, Apostolos, 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 approximation of convex bodies in Hausdorff metric
by: Prochno, Joscha, et al.
Published: (2024)

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

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

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

Thresholds for geometric graphs
by: Narayanan, Bhargav
Published: (2026)

Covariance matrices of volume power functionals of random simplicial complexes -- an asymptotic analysis
by: von Westenholz, Mandala
Published: (2025)

Degrees in the $β$- and $β'$-Delaunay graphs
by: Bonnet, Gilles, et al.
Published: (2025)

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

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

Asymptotic theory of Schatten classes
by: Juhos, Michael, et al.
Published: (2024)

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

Unimodality for Radon partitions of random vectors
by: Chan, Swee Hong, et al.
Published: (2025)

Sharp concentration phenomena in high-dimensional Orlicz balls
by: Frühwirth, Lorenz, et al.
Published: (2024)

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