Browsing Mathematics (MA) by Title
Now showing items 146-165 of 262
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On Critical Points of Random Polynomials and Spectrum of Certain Products of Random Matrices
(2018-07-30)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 existence and regularity of some complex Hessian equations on Kahler and transverse Kahler manifolds
The thesis consists of two parts. In the first part of the thesis, we classify the convergence behaviour of rotationally symmetric solutions to the modified J-flow on the blow-up of the complex projective space at a ... -
On numerical solution of first order system of hyperbolic equations
This thesis is based on the investigations carried out by the author on the numerical solution of first-order systems of hyperbolic equations. The thesis has been organized into four chapters. The first chapter is introductory ... -
On regular subalgebras of symmetrizable Kac-Moody algebras and related combinatorics
In this thesis, we study two aspects of Kac-Moody algebras. One is to understand the subalgebras that can be embedded inside a Kac-Moody algebra as subalgebras generated by real root vectors. The other one is to explicitly ... -
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 Hermitian-Yang-Mills equations. It is shown that these equations have an interpretation in terms of a moment map. We identify ... -
On some structural problems in the theory of infinite-dimensional Lie (super)algebras
In this thesis, we examine two facets of infinite-dimensional Lie algebras. The first part focuses on the classification of $\pi$-systems in rank 2 Kac-Moody Lie algebras. In one of his seminal works, Dynkin classified the ... -
On The Analytic Theory Of Explosions
(2012-05-31)The physical problem that we study in this thesis may be stated as follows A perfect idealized gas at high pressure is held stationary by a thn spherical diaphragm of umt radius, and is surrounded by a second perfect gas ... -
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 non-homogeneous ... -
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 Peak-To-Average-Power-Ratio Of Affine Linear Codes
(2008-01-25)Employing an error control code is one of the techniques to reduce the Peak-to-Average Power Ratio (PAPR) in an Orthogonal Frequency Division Multiplexing system; a well known class of such codes being the cosets of ... -
On the reconstruction problems in graph theory
One of the most difficult unsolved problems in graph theory is the Reconstruction Conjecture. Harary even referred to problems like the Four Colour Problem (now a theorem), the Hamiltonian Circuit Problem, and the ... -
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 ... -
On The Structure of Proper Holomorphic Mappings
(2017-09-28)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, ... -
On two complex Hessian equations and convergence of corresponding flows
This thesis consists of three parts. Two important complex Hessian equations are studied on certain compact K\"ahler manifolds from different perspectives. The first one is the {\em J-equation} introduced independently by ... -
Operator Theory on Symmetrized Bidisc and Tetrablock-some Explicit Constructions
(2018-07-26)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 and differential games in a Hilbert space
In this thesis, we study some aspects of optimal control and differential game problems in an infinite-dimensional Hilbert space. We mainly discuss the dynamic programming and viscosity solution approach to these problems. ... -
Optimal Control Of A Stochastic Hybrid System
(2012-11-21) -
Optimal control, Differential games and quasivaritional inequalities
In this thesis, we study value functions of a class of optimal control and differential game problems which satisfy certain quasivariational inequalities (QVI). We study the smoothness properties of the value functions and ... -
Orbit Model Analysis And Dynamic Filter Compensation For Onboard Autonomy
(2009-03-04)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, ...