Major advances in our understanding of the universe have historically arisen from dramatic
improvements in our ability to “see.” We have developed progressively larger telescopes …

The theory of random matrices plays an important role in many areas of pure mathematics
and employs a variety of sophisticated mathematical tools (analytical, probabilistic and …

The Large Synoptic Survey Telescope (LSST) is an ambitious astronomical survey with a
similarly ambitious Data Management component. Data Management for LSST includes …

We study the spectral measure of Gaussian Wigner's matrices and prove that it satisfies a
large deviation principle. We show that the good rate function which governs this principle …

BACKGROUND: Over the past decade, stenting of lateral sinus stenosis has been used to
treat idiopathic intracranial hypertension. Two types of stenoses have been identified: extrinsic …

Contents. Introduction Chapter 1. Markov semi-groups 1.1 Markov semi-groups and Generators
1.2 Invariant measures of a semi-group 1.3 Markov processes Chapter 2. Spectral gap …

Sompolinski and Zippelius (1981) propose the study of dynamical systems whose invariant
measures are the Gibbs measures for (hard to analyze) statistical physics models of interest. …

The stability properties of a class of interacting measure valued processes arising in nonlinear
filtering and genetic algorithm theory is discussed. Simple sufficient conditions are given …

We derive concentration inequalities for functions of the empirical measure of eigenvalues
for large, random, self adjoint matrices, with not necessarily Gaussian entries. The results …

Large complex systems tend to develop universal patterns that often represent their essential
characteristics. For example, the cumulative effects of independent or weakly dependent …