Mathematics (MA): Recent submissions
Now showing items 141-160 of 230
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The Green's Function, the Bergman Kernel and Quadrature Domains in Cn
(2018-06-08)In the first part of this thesis, we prove two density theorems for quadrature domains in Cn ,n≥2. It is shown that quadrature domains are dense in the class of all product domains of the form D×Ωwhere D⊂Cn−1 is a smoothly ... -
Multi-scale Modelling of HLA Diversity and Its Effect on Cytotoxic Immune Responses in Influenza H1N1 Infection
(2018-06-06)Cytotoxic T-lymphocytes (CTLs) are important components of the adaptive immune system and function by scanning the intracellular environment so as to detect and de-stroy infected cells. CTL responses play a major role in ... -
The Caratheodory-Fejer Interpolation Problems and the Von-Neumann inequality
(2018-05-30)The validity of the von-Neumann inequality for commuting $n$ - tuples of $3\times 3$ matrices remains open for $n\geq 3$. We give a partial answer to this question, which is used to obtain a necessary condition for the ... -
Weighted Norm Inequalities for Weyl Multipliers and Hermite Pseudo-Multipliers
(2018-05-30)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 ... -
Computational Studies on Structures and Functions of Single and Multi-domain Proteins
(2018-05-25)Proteins are essential for the growth, survival and maintenance of the cell. Understanding the functional roles of proteins helps to decipher the working of macromolecular assemblies and cellular machinery of living ... -
The Space of Metric Measure Spaces
(2018-05-22)This thesis is broadly divided in two parts. In the first part we give a survey of various distances between metric spaces, namely the uniform distance, Lipschitz distance, Hausdor distance and the Gramoz Hausdor distance. ... -
Stabilization Schemes for Convection Dominated Scalar Problems with Different Time Discretizations in Time dependent Domains
(2018-05-21)Problems governed by partial differential equations (PDEs) in deformable domains, t Rd; d = 2; 3; are of fundamental importance in science and engineering. They are of particular relevance in the design of many engineering ... -
Novel Upwind and Central Schemes for Various Hyperbolic Systems
(2018-05-21)The class of hyperbolic conservation laws model the phenomena of non-linear wave propagation, including the presence and propagation of discontinuities and expansion waves. Such nonlinear systems can generate discontinuities ... -
A Multiscale Modeling Study of Iron Homeostasis in Mycrobacterium Tuberculosis
(2018-05-10)Mycobacterium tuberculosis (M.tb), the causative agent of tuberculosis (TB), has remained the largest killer among infectious diseases for over a century. The increasing emergence of drug resistant varieties such as the ... -
On an ODE Associated to the Ricci Flow
(2018-04-18)We discuss two topics in this talk. First we study compact Ricci-flat four dimensional manifolds without boundary and obtain point wise restrictions on curvature( not involving global quantities such as volume and diameter) ... -
Study of Higher Order Split-Step Methods for Stiff Stochastic Differential Equations
(2018-04-06)Stochastic differential equations(SDEs) play an important role in many branches of engineering and science including economics, finance, chemistry, biology, mechanics etc. SDEs (with m-dimensional Wiener process) arising ... -
Single and Multi-player Stochastic Dynamic Optimization
(2018-04-06)In this thesis we investigate single and multi-player stochastic dynamic optimization prob-lems. We consider both discrete and continuous time processes. In the multi-player setup we investigate zero-sum games with both ... -
Development of Efficient Computational Methods for Better Estimation of Optical Properties in Diffuse Optical Tomography
(2018-04-02)Diffuse optical tomography (DOT) is one of the promising imaging modalities that pro- vides functional information of the soft biological tissues in-vivo, such as breast and brain tissues. The near infrared (NIR) light ... -
Normal Spectrum of a Subnormal Operator
(2018-03-21)Let H be a separable Hilbert space over the complex field. The class S := {N|M : N is normal on H and M is an invariant subspace for Ng of subnormal operators. This notion was introduced by Halmos. The minimal normal ... -
Subnormality and Moment Sequences
(2018-03-07)In this report we survey some recent developments of relationship between Hausdorff moment sequences and subnormality of an unilateral weighted shift operator. Although discrete convolution of two Haudorff moment sequences ... -
On the Stability of Certain Riemannian Functionals
(2018-03-06)Given a compact smooth manifold Mn without boundary and n ≥ 3, the Lp-norm of the curvature tensor, defines a Riemannian functional on the space of Riemannian metrics with unit volume M1. Consider ... -
Compactness Theorems for The Spaces of Distance Measure Spaces and Riemann Surface Laminations
(2018-02-18)Gromov’s compactness theorem for metric spaces, a compactness theorem for the space of compact metric spaces equipped with the Gromov-Hausdorff distance, is a theorem with many applications. In this thesis, we give a ... -
A Formal Proof of Feit-Higman Theorem in Agda
(2018-02-18)In this thesis we present a formalization of the combinatorial part of the proof of Feit-Higman theorem on generalized polygons. Generalised polygons are abstract geometric structures that generalize ordinary polygons and ... -
A Posteriori Error Analysis of Discontinuous Galerkin Methods for Elliptic Variational Inequalities
(2018-02-15)The main emphasis of this thesis is to study a posteriori error analysis of discontinuous Galerkin (DG) methods for the elliptic variational inequalities. The DG methods have become very pop-ular in the last two decades ... -
Central and Peripheral Correlates of Motor Planning
(2018-02-11)A hallmark of human behaviour is that we can either couple or decouple our thoughts, decision and motor plans from actions. Previous studies have reported evidence of gating of information between intention and action that ...