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 certain invariant measures for correspondences, their analysis, and an application to recurrence
The aim of this dissertation is to analyse a certain class of dynamically interesting mea sures arising in holomorphic dynamics that goes beyond the classical framework of maps. We study measures associated with semigroups ... 
On commuting isometries and commuting isometric semigroups
This thesis consists of two parts commuting isometries and commuting isometric semigroups. In the first part, we study the Taylor joint spectrum for a pair of commuting isometries in certain cases. We show that the joint ... 
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 some canonical metrics on holomorphic vector bundles over Kahler manifolds
This thesis consists of two parts. In the first part, we introduce coupled Kähler Einstein and HermitianYangMills equations. It is shown that these equations have an interpretation in terms of a moment map. We identify ... 
On The Analytic Theory Of Explosions
(20120531) 
On the Geometry and Operator Theory of the Bidisc and the Symmetrized Bidisc
This work is concerned with the geometric and operator theoretic aspects of the bidisc and the symmetrized bidisc. First we have focused on the geometry of these two do mains. The symmetrized bidisc, a nonhomogeneous ... 
On the Kobayashi geometry of domains
In this thesis we study questions broadly related to the Kobayashi (pseudo)distance and (pseudo)metric on domains in ℂn. Specifically, we study the following subjects: Estimates for holomorphic images of subsets in convex ... 
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 ... 
Positivity preservers forbidden to operate on diagonal blocks
The question of which functions acting entrywise preserve positive semidefiniteness has a long history, beginning with the Schur product theorem [Crelle 1911], which implies that absolutely monotonic functions (i.e., ... 
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 ...