A Bilateral version of Shannon-Breiman-McMillan Theorem

In fact, we shall prove that there exist a symmetric singular measure for which the convolution is absolutely continuous with continuous Radon-Nikodym derivative.. Our

The proof relies on upper estimates for the variance of the Bessel point process and the Plancherel measure, which are obtained using the classical contour integral representations

Indeed, it has been proved in [7] that in general the empir- ical measure of Y t does not satisfy a large deviations principle, and in the special case it does (which depends on the

A regular binary tree T having s as generating sequene of leaves, is given in.

Keywords: Sum rules, Szeg˝ o’s theorem, Verblunsky coefficients, matrix measures on the unit circle, relative entropy.. A sum rule is an identity between an entropy-like functional

In a second step, we will use an analogue of the well-known closed subgroup theorem (also called Cartan theorem for finite dimensional Lie groups) which, in the Banach Lie context

In Section 2, we recall the notions of isomorphic left D-modules and equivalent matrices, as well as the effective version of Fitting’s result and the statement of Warfield’s

Below, we briefly mention four classical beta ensembles, namely the Hermite (Gaussian) beta ensemble, the Circular beta ensemble, the Laguerre (Wishart) beta ensemble, and the