Tue, January 10, 2017
Public Access

Category: All

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10:00am [10:00am] Dr. Debanjana Mitra (Postdoc, Virginia Tech)
Title: Control of compressible Navier-Stokes system Abstract: We consider the one dimensional compressible Navier-Stokes system near a constant steady state with the periodic boundary conditions. The linearized system around the constant steady state is a hyperbolic-parabolic coupled system. We discuss some of the properties of the linearized system and its spectrum. Next we study some controllability results of the system.

3:00pm [3:00pm] Hira L. Koul Michigan State University
Title: Fitting a Two Phase Threshold Multiplicative Error Model Abstract. The class of multiplicative error models are particularly suited to model nonnegative time series such as financial durations, realized volatility, and squared returns. Threshold models are also known to play an important role in time series analysis. In this talk we shall present a lack-of-fit test for fitting a two-phase threshold model to the conditional mean function in a multiplicative error model. The proposed testing procedure can also be applied to a class of autoregressive conditional heteroscedastic threshold models. A simulation study shows some superiority of the proposed test over some commonly used existing tests. We shall illustrate the testing procedure by some data examples.

[3:30pm] S.G. Dani
Title: Diophantine Arithmetic and Homogeneous Dynamics Abstract: In this talk I will introduce generalities of the interaction between problems in Diophantine arithmetic and dynamics of flows on homogeneous spaces, and set the tone for subsequent lectures.

4:00pm [4:00pm] Prof. K B. Athreya, Iowa State University
Title: Some result in probability theory with application to analysis Abstract: attached as pdf