2 citations · 4 across the 6 of their papers we have counts for
6 papers
Fitting regular point patterns with a hyperuniform perturbed lattice
Daniela Flimmel
We introduce a flexible methodology for modelling regular spatial point patterns using hyperuniform perturbed lattices. We show that, under suitable mixing conditions on the displa…
(Non)-hyperuniformity of perturbed lattices
David Dereudre, Daniela Flimmel, Martin Huesmann +1
We ask whether a stationary lattice in dimension whose points are shifted by identically distributed but possibly dependent perturbations remains hyperuniform. When or…
Non-hyperuniformity of Gibbs point processes with short range interaction
David Dereudre, Daniela Flimmel
We investigate the hyperuniformity of marked Gibbs point processes with weak dependencies among distant points whilst the interactions of close points are kept arbitrary. Some vari…
On the Variance of the Area of Planar Cylinder Processes Driven by Brillinger-Mixing Point Processes
Daniela Flimmel, Lothar Heinrich
We study some asymptotic properties of cylinder processes in the plane defined as union sets of dilated straight lines (appearing as mutually overlapping infinitely long strips) de…
Limit theory for unbiased and consistent estimators of statistics of random tessellations
Daniela Flimmel, Zbyněk Pawlas, Joseph E. Yukich
We observe a realization of a stationary generalized weighted Voronoi tessellation of the d-dimensional Euclidean space within a bounded observation window. Given a geometric chara…
Gaussian approximation for functionals of Gibbs particle processes
Daniela Novotna, Viktor Benes
In the paper asymptotic properties of functionals of stationary Gibbs particle processes are derived. Two known techniques from the point process theory in the Euclidean space R^d…