Browsing Mathematics (MA) by Title
Now showing items 142-161 of 263
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Numerical Techniques for reconstruction of objects from projections
In this dissertation we consider certain alternative procedures, viz., the g-inverse method as well as an iterative technique based on probabilistic estimation for the reconstruction of objects from their projections. ... -
ome boundary value problems for helmholtz equation arising in diffraction theory
In recent years, the problem of wave diffraction by semi?infinite obstacles with edges, in particular half plane and strip under mixed boundary conditions (Dirichlet on the top and Neumann condition on the bottom surface) ... -
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) ... -
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
(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 ...