Latino Policy Institute at RWU Names New Director

Gabriela Domenzain brings national experience in Latino policy, politics and the press

On the parametric representation of univalent functions on the polydisc

We consider support points of the class $S^0(\mathbb{D}^n)$ of normalized univalent mappings on the polydisc $\mathbb{D}^n$ with parametric representation and we prove sharp estimates for coefficients of degree 2.Comment: Minor corrections, references added. Thanks to Iason Efraimidis and Gabriela Koh

BRS Gabriela.

bitstream/item/61844/1/Folder-BRS-Gabriela.pd

Quantile regression in high-dimension with breaking

The paper considers a linear regression model in high-dimension for which the predictive variables can change the influence on the response variable at unknown times (called change-points). Moreover, the particular case of the heavy-tailed errors is considered. In this case, least square method with LASSO or adaptive LASSO penalty can not be used since the theoretical assumptions do not occur or the estimators are not robust. Then, the quantile model with SCAD penalty or median regression with LASSO-type penalty allows, in the same time, to estimate the parameters on every segment and eliminate the irrelevant variables. We show that, for the two penalized estimation methods, the oracle properties is not affected by the change-point estimation. Convergence rates of the estimators for the change-points and for the regression parameters, by the two methods are found. Monte-Carlo simulations illustrate the performance of the methods

Angular Noise in Gravitational Wave Detectors

Angular fluctuations of suspended mirrors in gravitational wave interferometers are a source of noise both for the locking and the operation of the detectors. We describe here some of the sources of these fluctuations and methods for the estimation of their order of magnitude.Comment: 2 pages, to appear in proceedings of the IX Marcel Grossmann meeting, Rome, 200