[图书][B] Stochastic geometry and its applications
SN Chiu, D Stoyan, WS Kendall, J Mecke - 2013 - books.google.com
An extensive update to a classic text Stochastic geometry and spatial statistics play a
fundamental role in many modern branches of physics, materials sciences, engineering …
fundamental role in many modern branches of physics, materials sciences, engineering …
[图书][B] Stochastic and integral geometry
R Schneider, W Weil - 2008 - Springer
Stochastic and Integral Geometry | SpringerLink Skip to main content Advertisement
SpringerLink Log in Menu Find a journal Publish with us Search Cart Book cover Book © 2008 …
SpringerLink Log in Menu Find a journal Publish with us Search Cart Book cover Book © 2008 …
Random polytopes
D Hug - Stochastic Geometry, Spatial Statistics and Random …, 2012 - Springer
Random polytopes arise naturally as convex hulls of random points selected according to a
given distribution. In a dual way, they can be derived as intersections of random halfspaces …
given distribution. In a dual way, they can be derived as intersections of random halfspaces …
Poisson process approximation under stabilization and Palm coupling
We present new Poisson process approximation results for stabilizing functionals of Poisson
and binomial point processes. These functionals are allowed to have an unbounded range …
and binomial point processes. These functionals are allowed to have an unbounded range …
[HTML][HTML] The scaling limit of Poisson-driven order statistics with applications in geometric probability
M Schulte, C Thäle - Stochastic Processes and their Applications, 2012 - Elsevier
Let ηt be a Poisson point process of intensity t≥ 1 on some state space Y and let f be a non-
negative symmetric function on Yk for some k≥ 1. Applying f to all k-tuples of distinct points …
negative symmetric function on Yk for some k≥ 1. Applying f to all k-tuples of distinct points …
[HTML][HTML] Poisson polyhedra in high dimensions
J Hörrmann, D Hug, M Reitzner, C Thäle - Advances in Mathematics, 2015 - Elsevier
The zero cell of a parametric class of random hyperplane tessellations depending on a
distance exponent and an intensity parameter is investigated, as the space dimension tends …
distance exponent and an intensity parameter is investigated, as the space dimension tends …
Poisson approximation of Poisson-driven point processes and extreme values in stochastic geometry
M Otto - Bernoulli, 2025 - projecteuclid.org
Poisson approximation of Poisson-driven point processes and extreme values in stochastic
geometry Page 1 Bernoulli 31(1), 2025, 30–54 https://doi.org/10.3150/23-BEJ1688 Poisson …
geometry Page 1 Bernoulli 31(1), 2025, 30–54 https://doi.org/10.3150/23-BEJ1688 Poisson …
Expected sizes of Poisson–Delaunay mosaics and their discrete Morse functions
H Edelsbrunner, A Nikitenko… - Advances in Applied …, 2017 - cambridge.org
Mapping every simplex in the Delaunay mosaic of a discrete point set to the radius of the
smallest empty circumsphere gives a generalized discrete Morse function. Choosing the …
smallest empty circumsphere gives a generalized discrete Morse function. Choosing the …
Phase transitions and noise sensitivity on the Poisson space via stopping sets and decision trees
Proofs of sharp phase transition and noise sensitivity in percolation have been significantly
simplified by the use of randomized algorithms, via the OSSS inequality (proved by …
simplified by the use of randomized algorithms, via the OSSS inequality (proved by …
Weighted faces of Poisson hyperplane tessellations
R Schneider - Advances in applied probability, 2009 - cambridge.org
We study lower-dimensional volume-weighted typical faces of a stationary Poisson
hyperplane tessellation in d-dimensional Euclidean space. After showing how their …
hyperplane tessellation in d-dimensional Euclidean space. After showing how their …