Introduction to Stochastic Geometry

Related Items

Cells with many facets in a Poisson hyperplane tessellation ⋮ U-Statistics in Stochastic Geometry ⋮ Poisson Point Process Convergence and Extreme Values in Stochastic Geometry ⋮ Multivariate normal approximation for functionals of random polytopes

Cites Work

Second-order properties and central limit theorems for geometric functionals of Boolean models
Limit theorems for Betti numbers of random simplicial complexes
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Distances between Poisson $k$-flats
Extreme values for characteristic radii of a Poisson-Voronoi tessellation
Central limit theorems for random polygons in an arbitrary convex set
Vertex numbers of weighted faces in Poisson hyperplane mosaics
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The combinatorial structure of random polytopes
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Poisson process Fock space representation, chaos expansion and covariance inequalities
A general study of extremes of stationary tessellations with examples
The monotonicity of $f$-vectors of random polytopes
Portmanteau inequalities on the Poisson space: mixed regimes and multidimensional clustering
Sharp concentration of random polytopes
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Second moments related to Poisson hyperplane tessellations
Stability of the reverse Blaschke-Santaló inequality for zonoids and applications
Stein's method and normal approximation of Poisson functionals
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Poisson polytopes
Poisson-Voronoi approximation
Expectation of intrinsic volumes of random polytopes
Limit theorems for convex hulls
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On the extension of additive functionals on classes of convex sets
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On a conjecture of D. G. Kendall concerning the planar Crofton cell and on its Brownian counterpart
Random polytopes in a convex polytope, independence of shape, and concentration of vertices
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[https://portal.mardi4nfdi.de/wiki/Publication:5331598 �ber die konvexe H�lle von n zuf�llig gew�hlten Punkten. II]
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[https://portal.mardi4nfdi.de/wiki/Publication:5728818 �ber die konvexe H�lle von n zuf�llig gew�hlten Punkten]
The Malliavin–Stein Method on the Poisson Space
U-Statistics in Stochastic Geometry
Stochastic Analysis for Poisson Processes
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