On the Convex Hull of Uniform Random Points in a Simple d-Polytope.
On the covering by small random intervals
On the decomposition of particle size distribution in the extraction replica method
This paper deals with the method for evaluating exposures of nickel alloy structures containing both extracted and sectioned particles. The presented stereological model makes it possible to estimate two unknown spatial parameters, the mean value of the particle size distribution and the depth of etching with the use of the information obtained from the combined structure of the exposures.
On the distance random variable
On the Distribution of a Distance Function on the Sphere.
On the Expected Number of k-Sets.
On the isotropic constant of marginals
We show that if μ₁, ..., μₘ are log-concave subgaussian or supergaussian probability measures in , i ≤ m, then for every F in the Grassmannian , where N = n₁ + ⋯ + nₘ and n< N, the isotropic constant of the marginal of the product of these measures, , is bounded. This extends known results on bounds of the isotropic constant to a larger class of measures.
On the Modality of Convex Polygons.
On the singular values of random matrices
We present an approach that allows one to bound the largest and smallest singular values of an random matrix with iid rows, distributed according to a measure on that is supported in a relatively small ball and linear functionals are uniformly bounded in for some , in a quantitative (non-asymptotic) fashion. Among the outcomes of this approach are optimal estimates of not only in the case of the above mentioned measure, but also when the measure is log-concave or when it a product measure...
On the spectral function of the Poisson-Voronoi cells
On the sphericity of scaling limits of random planar quadrangulations.
On the volume of the double stochastic matrices.