The gap between the past supremum and the future infimum of a transient Bessel process
The gauge and conditional gauge theorem
The genealogy of self-similar fragmentations with negative index as a continuum random tree.
The generalized commutativity degree in a finite group.
The generalized FGM distribution and its application to stereology of extremes
The generalized FGM distribution and related copulas are used as bivariate models for the distribution of spheroidal characteristics. It is shown that this model is suitable for the study of extremes of the 3D spheroidal particles observed in terms of their random planar sections.
The generalized weighted probability measure on the symmetric group and the asymptotic behavior of the cycles
The goal of this paper is to analyse the asymptotic behaviour of the cycle process and the total number of cycles of weighted and generalized weighted random permutations which are relevant models in physics and which extend the Ewens measure. We combine tools from combinatorics and complex analysis (e.g. singularity analysis of generating functions) to prove that under some analytic conditions (on relevant generating functions) the cycle process converges to a vector of independent Poisson variables...
The geometric structure of the inverse gamma distribution.
The geometry of Brownian surfaces.
The geometry of Markov diffusion generators
The Geometry of Model Spaces for Probability-Preserving Actions of Sofic Groups
Bowen’s notion of sofic entropy is a powerful invariant for classifying probability-preserving actions of sofic groups. It can be defined in terms of the covering numbers of certain metric spaces associated to such an action, the ‘model spaces’. The metric geometry of these model spaces can exhibit various interesting features, some of which provide other invariants of the action. This paper explores an approximate connectedness property of the model spaces, and uses it give a new proof that certain...
The GI/G/1 model with warming-up time
The graph of generating sets of an abelian group
The Green formula and HP Spaces on trees.
The growth exponent for planar loop-erased random walk.
The Hájek asymptotics for finite population sampling and their ramifications
The Harmonic Functions of Mean Ergodic Markov Semigroups.
The Harmonie Space Associated with a "Reasonable" Standard Process.
The Hausdorff a-Dimensional Measures of the Level Sets and the Graph of the TV-Parameter Wiener Process.
The Hausdorff dimension and exact Hausdorff measure of random recursive sets with overlapping.
The Hausdorff measure of the closed support of super-brownian motion