Browsing Mathematics (MA) by Title
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On an ODE Associated to the Ricci Flow
(20180418)We discuss two topics in this talk. First we study compact Ricciflat four dimensional manifolds without boundary and obtain point wise restrictions on curvature( not involving global quantities such as volume and diameter) ... 
On Critical Points of Random Polynomials and Spectrum of Certain Products of Random Matrices
(20180730)In the first part of this thesis, we study critical points of random polynomials. We choose two deterministic sequences of complex numbers, whose empirical measures converge to the same probability measure in complex plane. ... 
On The Analytic Theory Of Explosions
(20120531) 
On The PeakToAveragePowerRatio Of Affine Linear Codes
(20080125)Employing an error control code is one of the techniques to reduce the PeaktoAverage Power Ratio (PAPR) in an Orthogonal Frequency Division Multiplexing system; a well known class of such codes being the cosets of ... 
On the Stability of Certain Riemannian Functionals
(20180306)Given a compact smooth manifold Mn without boundary and n ≥ 3, the Lpnorm of the curvature tensor, defines a Riemannian functional on the space of Riemannian metrics with unit volume M1. Consider ... 
On The Structure of Proper Holomorphic Mappings
(20170928)The aim of this dissertation is to give explicit descriptions of the set of proper holomorphic mappings between two complex manifolds with reasonable restrictions on the domain and target spaces. Without any restrictions, ... 
Operator Theory on Symmetrized Bidisc and Tetrablocksome Explicit Constructions
(20180726)A pair of commuting bounded operators (S; P ) acting on a Hilbert space, is called a contraction, if it has the symmetrised bides = f(z1 + z2; z1z2) : jz1j 1; jz2j 1g C2 as a spectral set. For every contraction (S; P ), ... 
Optimal Control Of A Stochastic Hybrid System
(20121121) 
Orbit Model Analysis And Dynamic Filter Compensation For Onboard Autonomy
(20090304)Orbit of a spacecraft in three dimensional Inertial Reference Frame is in general represented by a standard set of six parameters like Keplerian Orbital Elements namely semimajor axis, eccentricity, inclination, ... 
Peristaltic Flows With Some Applications
(20071229)Peristalsis is a mechanism of pumping fluids in ducts when a progressive wave of area contraction or expansion propagates along the length of a distensible tube containing fluid. It induces in general propulsive and mixing ... 
Peristaltic Transport Of Biofluids
(20120531) 
The PickNevanlinna Interpolation Problem : Complexanalytic Methods in Special Domains
(20180613)The Pick–Nevanlinna interpolation problem, in its fullest generality, is as follows: Given domains D1, D2 in complex Euclidean spaces, and a set f¹ zi; wiº : 1 i N g D1 D2, where zi are distinct and N 2 š+, N 2, find ... 
A Posteriori Error Analysis of Discontinuous Galerkin Methods for Elliptic Variational Inequalities
(20180215)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 popular in the last two decades ... 
Recognition of Structures, Functions and Interactions of Proteins of Pathogens : Implications in Drug Discovery
(20180714)Significant advancements in genome sequencing techniques and other highthroughput initiatives have resulted in the availability of complete sequences of genomes of a large number of organisms, which provide an opportunity ... 
Relative Symplectic Caps, Fibered Knots And 4Genus
(20140407)The 4genus of a knot in S3 is an important measure of complexity, related to the unknotting number. A fundamental result used to study the 4genus and related invariants of homology classes is the Thom conjecture, proved ... 
Ricci Flow And Isotropic Curvature
(20140903)This thesis consists of two parts. In the first part, we study certain Ricci flow invariant nonnegative curvature conditions as given by B. Wilking. We begin by proving that any such nonnegative curvature implies nonnegative ... 
Riemann Roch Theorem For Algebraic Curves
(20110928)