### Gibbs Delaunay-Voronoi tessellations

We deal with the Gibbsian modifications of the Poissonian Delaunay or
Voronoi tessellations. The Energy functions depend on the local
geometrical structure of the tessellation (i.e., the volume, the
perimeter of cells or the ratio of the volume of neigbours cells). We
consider the hardcore interaction too, in order to force some geometrical
properties of the cells (i.e., the range of size, the maximum number of
edges...). We give some theoretical existence results for these
Gibbs tessellations and we simulate them. We present a parametric
estimator based on the pseudo-likelihood procedure. An application to
the modelization of cellular tissues is presented. The works cited in
this talk are collaborations with R. Drouilhet, H.-O. Georgii and F.
Lavancier.