Convergence of Probability Measures

TL;DR: In this paper, the authors introduced the extended Skorokhod problem (ESP) and associated extended Skors map (ESM) that enable a pathwise construction of reflected diffusions that are not necessarily semimartingales.

TL;DR: In this article, the authors focus on one-sample and two-sample microarray experiments and establish uniform consistency of certain estimators of marginal distribution functions, sample means and sample medians under the large p small n assumption.

TL;DR: For rank-1 inhomogeneous random graphs with power-law degrees, Bhamidi, van der Hofstad and van Leeuwaarden as discussed by the authors showed that the largest components at criticality converged to the hitting times of a thinned Levy process, a special case of the general multiplicative coalescents.

TL;DR: In this paper, the existence of a Gibbs measure on nongeneric planar trees has been proved and the rate of divergence of the degree of the highest order vertex of finite trees in the thermodynamic limit has been studied.