Lefschetz Center for Dynamical Systems Seminar
Abstract: We want to study the dynamics near homoclinic points in periodically forced systems by introducing an appropriate Poincare-map. However, we start with the consideration of the more general situation of a discrete system having a homoclinic orbit. To study particular orbits nearby the distinguished one we carry forward the ideas of Lin's method to discrete systems.
With that we detect homoclinic and periodic orbits nearby the primary homoclinic orbit. We demonstrate the results on the example of an homoclinic point with quadratic tangencies and on a Poincare-map associated with a periodically forced system. Finally we give an idea how to detect n-periodic and n-homoclinic orbits as well.
Brown University Center for Statistical Sciences Seminar
Abstract: A latent variable model for mixed discrete and continuous outcomes is proposed. The model accommodates any mixture of outcomes from an exponential family, and allows for arbitrary covariate effects, as well as direct modeling of covariates on the latent variable. An EM algorithm is proposed for parameter estimation and estimates of the latent variables are produced as a by-product of the analysis. A generalized likelihood ratio test can be used to test the significance of covariates affecting the latent outcomes. This method is applied to birth defects data, where the outcomes of interest are continuous measures of size and binary indicators of minor physical anomalies. Infants who were exposed in utero to anticonvulsant medications are compared to controls.
Stochastic Systems Seminar
LEMS and Electrical Science Seminar
Abstract: Alpha microprocessors have maintained leadership performance since their introduction in 1992. Three generations of microprocessors have been designed by an experienced, highly skilled design team using a proven design methodology. These microprocessors achieve performance by focusing on high frequency design. To facilitate this type of design, the Alpha instruction set architecture (ISA) uses simple fixed length instructions. In addition, Digital's CMOS technologies include specific features to enable high frequency, low-skew clock distribution. Complex circuit styles are used throughout these designs to meet aggressive cycle time goals. Close interaction between all of these disciplines was essential to the success of these microprocessors. The talk will discuss some of the key techniques and their evolution, which enabled Alpha microprocessors to deliver leadership performance.
Brown Analysis Seminar
PDE Seminar
Department of Mathematics Colloquium
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