Identities linking volumes of convex hulls (original) (raw)

Generalization of a formula of C. Buchta about the convex hull of random points

Fernando Affentranger

1988

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Recurrence Relationships for the Mean Number of Faces and Vertices for Random Convex Hulls

Richard Cowan

Discrete & Computational Geometry, 2010

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On the convex hull of uniform random points in a simpled-polytope

Fernando Affentranger

Discrete & Computational Geometry, 1991

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Remarks on the note "Generalization of a formula of C. Buchta about the convex hull of random points

Fernando Affentranger

1988

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Random convex hulls in a product of balls

Rex Dwyer

Probability Theory and Related Fields, 1990

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On the Convex Hull of Random Points in a Polytope

Rex Dwyer

Journal of Applied Probability, 1988

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On joint probability distribution of the number of vertices and area of the convex hulls generated by a Poisson point process

Isakjan Khamdamov

Statistics & Probability Letters, 2021

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Convex hulls of uniform samples from a convex polygon

Piet Groeneboom

Advances in Applied Probability, 2012

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Random Convex Hulls and Extreme Value Statistics

A. Comtet

Journal of Statistical Physics, 2010

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Joint Distribution of the Number of Vertices and the Area of Convex Hulls Generated by a Uniform Distribution in a Convex Polygon

Isakjan Khamdamov

Journal of Siberian Federal University. Mathematics & Physics, 2021

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Random aspects of high-dimensional convex bodies

Sake Delic

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Limit Theorems for Functionals of Random Convex Hulls in a Unit Disk

Horizon Research Publishing(HRPUB) Kevin Nelson

Mathematics and Statistics, 2023

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On Multiple Integral Geometric Integrals and Their Applications to Probability Theory

Franz Streit

Canadian Journal of Mathematics, 1970

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A new integral representation of the coverage probability of a random convex hull

Chi Tim Ng

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Random spheres in a convex body

Fernando Affentranger

Archiv der Mathematik, 1990

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Voronoi Diagrams and Convex Hulls of Random Moving Points

Rex Dwyer

Discrete & Computational Geometry, 2000

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Letter to the Editor: Convex hulls on a hemisphere

Richard Cowan

Advances in Applied Probability, 2009

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Computing Volumes and Convex Hulls: Variations and Extensions

Dr. Hakan Yıldız

2014

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Lift Zonoids, Random Convex Hulls and the Variability of Random Vectors

Gleb Koshevoy

Bernoulli, 1998

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On the isotropic constant of random polytopes

N. Tomczak-Jaegermann

Advances in Geometry, 2000

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Central limit theorems for Poisson hyperplane tessellations

Lothar Heinrich

The Annals of Applied Probability, 2006

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Convex hulls of samples from spherically symmetric distributions

Rex Dwyer

Discrete Applied Mathematics, 1991

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Random Point Sets on the Sphere—Hole Radii, Covering, and Separation

Ian Sloan

Experimental Mathematics

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On Limit Theorem for the Number of Vertices of the Convex Hulls in a Unit Disk

Isakjan Khamdamov

Journal of Siberian Federal University. Mathematics & Physics, 2020

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Maximal and Convex Layers of Random Point Sets

Cuong Nguyen

Lecture Notes in Computer Science, 2018

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Expected Size of Random Tukey Layers and Convex Layers

Shaoyu Pei

2020

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A fast algorithm to sample the number of vertexes and the area of the random convex hull on the unit square

Chi Tim Ng

Computational Statistics

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An Inscribing Model for Random Polytopes

Ross Richardson

Discrete & Computational Geometry, 2007

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Limit shape of random convex polygonal lines: Even more universality

Leonid Bogachev

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Random inscribing polytopes

Ross Richardson

European Journal of Combinatorics, 2007

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On the Graph-Density of Random 0/1-Polytopes

Anja Remshagen

Lecture Notes in Computer Science, 2003

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Properties of convex hull generated by inhomogeneous Poisson point process

Isakjan Khamdamov

Ufimskii Matematicheskii Zhurnal, 2020

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Universality of the Limit Shape of Random Convex Lattice Polygons

Leonid Bogachev

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On the Euclidean Metric Entropy of Convex Bodies

N. Tomczak-Jaegermann

Lecture Notes in Mathematics, 2007

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A New Approach to Polynomial-Time Generation of Random Points in Convex Bodies

Russ Bubley

1996

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