Random inscribing polytopes (original) (raw)
Related papers
An Inscribing Model for Random Polytopes
Discrete & Computational Geometry, 2007
On the convex hull of uniform random points in a simpled-polytope
Discrete & Computational Geometry, 1991
On the Convex Hull of Random Points in a Polytope
Journal of Applied Probability, 1988
On the isotropic constant of random polytopes
Advances in Geometry, 2000
Central limit theorems for Poisson hyperplane tessellations
The Annals of Applied Probability, 2006
Convex hulls of uniform samples from a convex polygon
Advances in Applied Probability, 2012
On the Graph-Density of Random 0/1-Polytopes
Lecture Notes in Computer Science, 2003
Few points to generate a random polytope
1997
Statistics & Probability Letters, 2021
Random spheres in a convex body
Archiv der Mathematik, 1990
Journal of Siberian Federal University. Mathematics & Physics, 2021
Limit Theorems for Functionals of Random Convex Hulls in a Unit Disk
Horizon Research Publishing(HRPUB) Kevin Nelson
Mathematics and Statistics, 2023
Random aspects of high-dimensional convex bodies
On Limit Theorem for the Number of Vertices of the Convex Hulls in a Unit Disk
Journal of Siberian Federal University. Mathematics & Physics, 2020
Universality of the Limit Shape of Random Convex Lattice Polygons
Recurrence Relationships for the Mean Number of Faces and Vertices for Random Convex Hulls
Discrete & Computational Geometry, 2010
A New Approach to Polynomial-Time Generation of Random Points in Convex Bodies
1996
Properties of convex hull generated by inhomogeneous Poisson point process
Ufimskii Matematicheskii Zhurnal, 2020
Limit theorems for functionals on the facets of stationary random tessellations
Bernoulli, 2007
Asymptotic approximation of smooth convex bodies by polytopes
Forum Mathematicum, 2000
Computational Statistics
U-max-statistics and limit theorems for perimeters and areas of random polygons
Evgeniya Koroleva, Yakov Nikitin
Limit shape of random convex polygonal lines: Even more universality
Smallest singular value of random matrices and geometry of random polytopes
Advances in Mathematics, 2005
Large planar Poisson–Voronoi cells containing a given convex body
Annales Henri Lebesgue, 2021
Expected Size of Random Tukey Layers and Convex Layers
2020
A sweep-plane algorithm for generating random tuples in simple polytopes
Mathematics of Computation, 1998
Advances in Applied Probability, 2008
Random Polygon Generation through Convex Layers
Procedia Technology, 2013
Analysis and Mathematical Physics, 2018
Random convex hulls in a product of balls
Probability Theory and Related Fields, 1990
On the mean and variance of the writhe of random polygons
Journal of Physics A: Mathematical and Theoretical, 2011
A Random Polynomial Time Algorithm for Well-rounding Convex Bodies
Discrete Applied Mathematics, 1995