12 citations · 14 across the 4 of their papers we have counts for
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math.PR2015
Approaches to asymptotics for U-statistics of Gibbs facet processes
Jakub Vecera, Viktor Benes
It is shown how the central limit theorem for U-statistics of spatial Poisson point processes can help to derive the central limit theorem for U-statistics of a Gibbs facet process…
math.PR2015
Central limit theorem for Gibbsian U-statistics of facet processes
Jakub Vecera
Special case of a Gibbsian facet process on a fixed window with a discrete orientation distribution and with increasing intensity of the underlying Poisson process is studied. All…
math.PR2015★ 2 cited
Interaction processes for unions of facets, a limit behavior
Jakub Vecera, Viktor Benes
In the series of models with interacting particles in stochastic geometry, a new contribution presents the facet process which is defined in arbitrary Euclidean dimension. In 2D, 3…