Browsing Mathematics (MA) by Title
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Time Series Analysis Of Neurobiological Signals
(20110928) 
Total variation cutoff for random walks on some finite groups
This thesis studies mixing times for three random walk models. Specifically, these are random walks on the alternating group, the group of signed permutations and the complete monomial group. The details for the models are ... 
Toward Computationally Efficient Models for Nearinfrared and Photoacoustic Tomographic Imaging
(20171128)Near Infrared (NIR) and Photoacoustic (PA) Imaging are promising imaging modalities that provides functional information of the soft biological tissues invivo, with applications in breast and brain tissue imaging. These ... 
Trace Estimate For The Determinant Operator And K Homogeneous Operators
Let $\boldsymbol T=(T_1, \ldots , T_d)$ be a $d$ tuple of commuting operators on a Hilbert space $\mathcal H$. Assume that $\boldsymbol T$ is hyponormal, that is, $\big [\!\!\big [ \boldsymbol T^*, \boldsymbol T \big ]\!\! ... 
Unfolding Operators in Various Oscillatory Domains : Homogenization of Optimal Control Problems
(20180613)In this thesis, we study homogenization of optimal control problems in various oscillatory domains. Specifically, we consider four types of domains given in Figure 1 below. Figure 1: Oscillating Domains The thesis is ... 
Vector Bundles Over Hypersurfaces Of Projective Varieties
(20140602)In this thesis we study some questions related to vector bundles over hypersurfaces. More precisely, for hypersurfaces of dimension ≥ 2, we study the extension problem of vector bundles. We find some cohomological conditions ... 
Weighted Norm Inequalities for Weyl Multipliers and Hermite PseudoMultipliers
(20180530)In this thesis we deal with two problems in harmonic analysis. In the ﬁrst problem we discuss weighted norm inequalities for Weyl multipliers satisfying Mauceri’s condition. As an application, we prove certain multiplier ... 
Weights of highest weight modules over KacMoody algebras
In this dissertation, broadly, we treat the weightsets of arbitrary highest weight modules (uniformly) over all general complex KacMoody Lie algebras $\mathfrak{g}$, achieving the below. We obtain a uniform, explicit, ...