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math.PR2005★ 32 cited
Limit theorems for the typical Poisson-Voronoi cell and the Crofton cell with a large inradius
Pierre Calka, Tomasz Schreiber
In this paper, we are interested in the behavior of the typical Poisson-Voronoi cell in the plane when the radius of the largest disk centered at the nucleus and contained in the c…
math.PR2005
Random dynamics and thermodynamic limits for polygonal Markov fields in the plane
Tomasz Schreiber
We construct random dynamics on collections of non-intersecting planar contours, leaving invariant the distributions of length- and area-interacting polygonal Markov fields with V-…