0. Introduction. Throughout this paper T will denote a measure preserving transformation on a cr-finite infinite measure space (X, (B, m) which is point isomorphic with the Lebesgue measure space of the real line. Unless otherwise stated, T will be one-one. Equations involving functions or sets will always be interpreted modulo sets of measure zero. T is said to be ergodic if T~1E = E, ££(B, im...

– We derive a moderate deviations principle for matrices of the form XN = DN + WN where WN are Wigner matrices and DN is a sequence of deterministic matrices whose spectral measures converge in a strong sense to a limit μD . Our techniques are based on a dynamical approach introduced by Cabanal-Duvillard and Guionnet.  2003 Éditions scientifiques et médicales Elsevier SAS MSC: 60F99; 15A52

We consider spectral properties of a Schrödinger operator perturbed by a potential vanishing at infinity and prove that the corresponding spectral measure satisfies a Szegő type condition.

In Audio fingerprinting, a song must be recognized by matching an extracted fingerprint to a database of previously computed fingerprints. One of the key issues in fingerprinting is the generation of fingerprints that provide discrimination among different songs and at the same time invariant to the distorted versions of the same song. In this paper, we evaluate various features such as spectra...

Linguistic control factors such as word stress and phrasefinality affect not only duration and pitch, but also spectral structure and spectral dynamics. We propose methods for predicting and synthesizing prosodic effects on spectral balance: (i) A new multi-dimensional measure of spectral balance, in which energy is measured in five ”formant frequency range” bands. (ii) Statistical methods for ...

Spectral Flatness Measure is a well-known method for quantifying the amount of randomness (or “stochasticity”) that is present in a signal. This measure has been widely used in signal compression, audio characterization and retrieval. In this paper we present an information-theoretic generalization of this measure that is formulated in terms of a rate of growth of multi-information of a nonGaus...

Articulatory and acoustic reduction can manifest itself in the temporal and spectral domains. This study introduces a measure of spectral reduction, which is based on the speech decoding techniques commonly used in automatic speech recognizers. Using data for four frequent Dutch affixes from a large corpus of spontaneous face-to-face conversations, it builds on an earlier study examining the ef...

We announce three results in the theory of Jacobi matrices and Schrödinger operators. First, we give necessary and sufficient conditions for a measure to be the spectral measure of a Schrödinger operator − d dx +V (x) on L2(0,∞) with V ∈ L2(0,∞) and u(0) = 0 boundary condition. Second, we give necessary and sufficient conditions on the Jacobi parameters for the associated orthogonal polynomials...

We study the problem of sampling high and infinite dimensional target measures arising in applications such as conditioned diffusions and inverse problems. We focus on those that arise from approximating measures on Hilbert spaces defined via a density with respect to a Gaussian reference measure. We consider the Metropolis–Hastings algorithm that adds an accept– reject mechanism to a Markov ch...