Variances and central limit theorems for random beta-polytopes and in other geometric models
Fuente:
arXiv
Saved in:
| Main Authors: | Fodor, Ferenc, Grünfelder, Balázs |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
On random approximations by generalized disc-polygons
by: Fodor, Ferenc, et al.
Published: (2019)
by: Fodor, Ferenc, et al.
Published: (2019)
Variance bounds for disc-polygons
by: Fodor, Ferenc, et al.
Published: (2021)
by: Fodor, Ferenc, et al.
Published: (2021)
Note on the variances of random beta-prime polytopes
by: Fodor, Ferenc, et al.
Published: (2026)
by: Fodor, Ferenc, et al.
Published: (2026)
A central limit theorem for random disc-polygons in smooth convex discs
by: Fodor, Ferenc, et al.
Published: (2023)
by: Fodor, Ferenc, et al.
Published: (2023)
Central limit theorems for random boundary polytopes
by: Reitzner, Matthias, et al.
Published: (2025)
by: Reitzner, Matthias, et al.
Published: (2025)
A limit theorem for Hausdorff approximation by random inscribed polytopes
by: Sonnleitner, Mathias
Published: (2025)
by: Sonnleitner, Mathias
Published: (2025)
Sylvester's problem for beta-type distributions
by: Gusakova, Anna, et al.
Published: (2024)
by: Gusakova, Anna, et al.
Published: (2024)
Random polytopes in convex bodies: Bridging the gap between extremal containers
by: Besau, Florian, et al.
Published: (2024)
by: Besau, Florian, et al.
Published: (2024)
On random disc-polygons in a disc-polygon
by: Fodor, Ferenc, et al.
Published: (2021)
by: Fodor, Ferenc, et al.
Published: (2021)
On the deterministic interior body of random polytopes
by: Pafis, Minas, et al.
Published: (2025)
by: Pafis, Minas, et al.
Published: (2025)
On the minimal area of quadrangles circumscribed about planar convex bodies
by: Fodor, Ferenc, et al.
Published: (2025)
by: Fodor, Ferenc, et al.
Published: (2025)
Expected hyperbolic volumes of random beta polytopes
by: Kabluchko, Zakhar, et al.
Published: (2026)
by: Kabluchko, Zakhar, et al.
Published: (2026)
Random approximation of convex bodies in Hausdorff metric
by: Prochno, Joscha, et al.
Published: (2024)
by: Prochno, Joscha, et al.
Published: (2024)
Geometric inequalities, stability results and Kendall's problem in spherical space
by: Hug, Daniel, et al.
Published: (2017)
by: Hug, Daniel, et al.
Published: (2017)
Sylvester's problem for random walks and bridges
by: Panzo, Hugo
Published: (2024)
by: Panzo, Hugo
Published: (2024)
Beta Polytopes and Beta Cones: An Exactly Solvable Model in Geometric Probability
by: Kabluchko, Zakhar, et al.
Published: (2025)
by: Kabluchko, Zakhar, et al.
Published: (2025)
Boolean models in hyperbolic space
by: Hug, Daniel, et al.
Published: (2024)
by: Hug, Daniel, et al.
Published: (2024)
Perimeter approximation of convex discs in the hyperbolic plane and on the sphere
by: Fodor, Ferenc
Published: (2019)
by: Fodor, Ferenc
Published: (2019)
Approximation of the Euclidean ball by polytopes with a fixed number of $k$-faces
by: Hoehner, Steven, et al.
Published: (2025)
by: Hoehner, Steven, et al.
Published: (2025)
Generalised convexity with respect to families of affine maps
by: Kabluchko, Zakhar, et al.
Published: (2022)
by: Kabluchko, Zakhar, et al.
Published: (2022)
Intersections of Poisson k-flats in hyperbolic space: completing the picture
by: Bühler, Tillmann, et al.
Published: (2024)
by: Bühler, Tillmann, et al.
Published: (2024)
On creating convexity in high dimensions
by: Johnston, Samuel G. G.
Published: (2025)
by: Johnston, Samuel G. G.
Published: (2025)
One polytope fits all: Characterization of the Euclidean ball via simultaneous intrinsic volume approximation
by: Hoehner, Steven
Published: (2026)
by: Hoehner, Steven
Published: (2026)
A quantitative central limit theorem for Poisson horospheres in high dimensions
by: Kabluchko, Zakhar, et al.
Published: (2023)
by: Kabluchko, Zakhar, et al.
Published: (2023)
Visibility and intersection density for Boolean models in hyperbolic space
by: Bühler, Tillmann, et al.
Published: (2025)
by: Bühler, Tillmann, et al.
Published: (2025)
Angles of orthocentric simplices
by: Kabluchko, Zakhar, et al.
Published: (2025)
by: Kabluchko, Zakhar, et al.
Published: (2025)
Strengthened inequalities for the mean width and the $\ell$-norm of origin symmetric convex bodies
by: Böröczky, Károly J., et al.
Published: (2024)
by: Böröczky, Károly J., et al.
Published: (2024)
Strengthened inequalities for the mean width and the $\ell$-norm
by: Böröczky, Károly J., et al.
Published: (2020)
by: Böröczky, Károly J., et al.
Published: (2020)
Random Polyhedral Cones I: Distributional Results via Gale Duality
by: Kabluchko, Zakhar
Published: (2026)
by: Kabluchko, Zakhar
Published: (2026)
Moments of the Cramér transform of log-concave probability measures
by: Giannopoulos, Apostolos, et al.
Published: (2025)
by: Giannopoulos, Apostolos, et al.
Published: (2025)
Limit Theorems for the Volume of Random Projections and Sections of $\ell_p^N$-balls
by: Prochno, Joscha, et al.
Published: (2024)
by: Prochno, Joscha, et al.
Published: (2024)
From Circles to Convex Bodies: Approximating Curved Shapes by Polytopes
by: Hoehner, Steven
Published: (2025)
by: Hoehner, Steven
Published: (2025)
An Algorithm for Approximating the Metric Projection onto a Superelliptic Disk
by: Fodor, Valerian-Alin, et al.
Published: (2026)
by: Fodor, Valerian-Alin, et al.
Published: (2026)
A refinement of the Sylvester problem: Probabilities of combinatorial types
by: Kabluchko, Zakhar, et al.
Published: (2025)
by: Kabluchko, Zakhar, et al.
Published: (2025)
Sharp estimates for the Cramér transform of log-concave measures and geometric applications
by: Brazitikos, Silouanos, et al.
Published: (2024)
by: Brazitikos, Silouanos, et al.
Published: (2024)
On Sections of Convex Bodies in John's Position and of Generalised $B_p^n$ Balls
by: Alonso-Gutiérrez, David, et al.
Published: (2025)
by: Alonso-Gutiérrez, David, et al.
Published: (2025)
Hadwiger's conjecture for cap bodies
by: Arman, Andrii, et al.
Published: (2025)
by: Arman, Andrii, et al.
Published: (2025)
A Sharp Bound on Large Planar Signed Vector Sums
by: Grundbacher, Florian
Published: (2025)
by: Grundbacher, Florian
Published: (2025)
Thresholds for geometric graphs
by: Narayanan, Bhargav
Published: (2026)
by: Narayanan, Bhargav
Published: (2026)
Surface areas of equifacetal polytopes inscribed in the unit sphere $\mathbb{S}^2$
by: Freeman, Nicolas, et al.
Published: (2022)
by: Freeman, Nicolas, et al.
Published: (2022)
Similar Items
-
On random approximations by generalized disc-polygons
by: Fodor, Ferenc, et al.
Published: (2019) -
Variance bounds for disc-polygons
by: Fodor, Ferenc, et al.
Published: (2021) -
Note on the variances of random beta-prime polytopes
by: Fodor, Ferenc, et al.
Published: (2026) -
A central limit theorem for random disc-polygons in smooth convex discs
by: Fodor, Ferenc, et al.
Published: (2023) -
Central limit theorems for random boundary polytopes
by: Reitzner, Matthias, et al.
Published: (2025)