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2002

Naser, Elsa.

2003

Campbell, Peter Steven

Fall 2009

Deng, Jian

Computation methods based on the Wiener chaos expansion have been developed to study the behaviors of the aeroelastic system with randomparameters. It is proven that the discrete wavelet transformation is one ofthe most accurate and efficient numerical schemes for this uncertainty...

Fall 2015

Huaman Aguilar, Ricardo

We develop stochastic control models for optimal government policies. We study three problems: (1) the optimal debt ceiling, (2) the optimal currency portfolio, and (3) the optimal management of the stabilization funds. The results of this research provide insights that are useful to...

Spring 2015

Zou, Bin

Motivated by the financial crisis of 2007-2009 and the increasing demand for portfolio and risk management, we study optimal insurance and investment problems with regime switching in this thesis. We incorporate an insurable risk into the classical consumption and investment framework and...

2008

Sotomayer, Luz Rocío, 1977-

Spring 2018

Zong, Fei

In this thesis, we study a mathematical model for the survival of a cells’ population exposed to various chemical compounds with different concentrations. For experimental planning, it is important to find the threshold value for the initial concentrations at which the cells become extinct....

Fall 2011

Bouffard, Nicolas

Left amenability, in it's modern form, was introduced by M. M. Day, in the 1940s. Amenability of groups and semigroups turned out to be quite common, and many interesting results are known, which motivated the introduction of extreme left amenability by Granirer in the 1960s. Extreme amenability...

2005

Tcaciuc, Adi

Spring 2011

Wong, Rita

Animal group formation has often been studied by mathematical biologists through PDE models, producing classical results like traveling and stationary waves. Recently, Eftimie et al. introduced a 1-D PDE model that considers three social interactions between individuals in the relevant...