SLE coordinate changes.
Some geometric probability problems involving the Eulerian numbers.
Some properties of annulus SLE.
Some results on the integral geometry of unions of independent families.
Spatio-temporal modelling of a Cox point process sampled by a curve, filtering and Inference
The paper deals with Cox point processes in time and space with Lévy based driving intensity. Using the generating functional, formulas for theoretical characteristics are available. Because of potential applications in biology a Cox process sampled by a curve is discussed in detail. The filtering of the driving intensity based on observed point process events is developed in space and time for a parametric model with a background driving compound Poisson field delimited by special test sets. A...
Stability Properties of Cauchy's Surface Area Formula.
Stationary map coloring
We consider a planar Poisson process and its associated Voronoi map. We show that there is a proper coloring with 6 colors of the map which is a deterministic isometry-equivariant function of the Poisson process. As part of the proof we show that the 6-core of the corresponding Delaunay triangulation is empty. Generalizations, extensions and some open questions are discussed.
Stereology of dihedral angles
The paper presents a short survey of stereological problems concerning dihedral angles, their solutions and applications, and introduces a graph for determining the distribution functions of planar angles under the hypothesis that dihedral angles in are of the same size and create a random field.
Stereology of grain boundary precipitates
Precipitates modelled by rotary symmetrical lens-shaped discs are situated on matrix grain boundaries and the homogeneous specimen is intersected by a plate section. The stereological model presented enables one to express all basic parameters of spatial structure and moments of the corresponding probability distributions of quantitative characteristics of precipitates in terms of planar structure parameters the values of which can be estimated from measurements carried out in the plane section....
Stochastic processes on random domains
Stochastical Approximation of Convex Bodies.
Strictly balanced submatroids in random subsets of projective geometries
Strictly stable distributions on convex cones.
Sur une conjecture de L. E. Dubins
Sur une question de probabilité
Systems of dyadic cubes in a doubling metric space
A number of recent results in Euclidean harmonic analysis have exploited several adjacent systems of dyadic cubes, instead of just one fixed system. In this paper, we extend such constructions to general spaces of homogeneous type, making these tools available for analysis on metric spaces. The results include a new (non-random) construction of boundedly many adjacent dyadic systems with useful covering properties, and a streamlined version of the random construction recently devised by H. Martikainen...
Systems of stochastically independent and normally distributed random points in the Euclidean space .
Tesselation of a triangle by repeated barycentric subdivision.
The Apollonian decay of beer foam bubble size distribution and the lattices of Young diagrams and their correlated mixing functions.
The asymptotic behavior of the average -discrepancies and a randomized discrepancy.