Cover Image

Generalised convexity with respect to families of affine maps

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Kabluchko, Zakhar, Marynych, Alexander, Molchanov, Ilya
Format:	Preprint
Published:	2022
Subjects:	Metric Geometry Probability Primary: 60D05, secondary: 52A01, 52A22
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

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

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

Angles of orthocentric simplices
by: Kabluchko, Zakhar, 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)

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

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

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

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)

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

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)

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

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

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

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

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

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)

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

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

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

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

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

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

Volumes of Regular Hyperbolic Simplices
by: Kabluchko, Zakhar, et al.
Published: (2025)

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

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)

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

Facets of high-dimensional Gaussian polytopes
by: Boroczky, Karoly J, et al.
Published: (2018)

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

Discrete log-concavity and threshold phenomena for atomic measures
by: Brazitikos, Silouanos, 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)

Strange shadows of $\ell_p$-balls
by: Kabluchko, Zakhar, et al.
Published: (2024)

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

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)

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