Browsing Division of Physical and Mathematical Sciences by Title
Now showing items 755-774 of 1368
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Observational Constraints on Global 21-cm Signal from the Epoch of Reionization
One of the most promising probes of Cosmic Dawn (CD) and Epoch of Reionization (EoR) is the rest-frame global 21-cm signal of neutral hydrogen (HI) produced by the intergalactic medium (IGM) prior to the end of the EoR ... -
Observational constraints on the formation of pre-galactic condensates in the universe.
The distribution of galaxies in the Universe displays structure on a variety of scales, ranging from groups of a few galaxies to rich clusters containing thousands of galaxies. These clusters are in turn clustered to form ... -
Observational study of Core-Collapse Supernovae
The advent of dedicated surveys for studying transient events has invoked a great interest in the study of supernovae (SNe). The rate of discovery of SNe has hence gone up ten-fold relinquishing their diversity. SNe not ... -
Observational study of decayless waves across different scales in the solar corona
The long-standing problem of coronal heating focuses on probing sources that can continuously supply energy to sustain million-degree temperatures. Magnetohydrodynamic (MHD) waves play a crucial role because their dissipation ... -
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 Fluidic Plasmonics: Harnessing Liquid Metals for Tunable Nanophotonics
Low melting point metals, in particular, Ga and its alloys, have been used in electronics applications extensively, while their photonic applications in the visible region (2-3eV photon energy) of the electromagnetic ... -
On Hypergeometric solutions of Feynman integrals using Mellin-Barnes Integrals with Applications
Experimental measurements of physical observables in particle colliders rely on high-precision theoretical calculations to validate the predictions of any theoretical model and detect signals of new physics. These theoretical ... -
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 electrical transport of weak topological insulators and Weyl semimetals
Topological insulators have garnered enormous amount of attention owing to their unique topological properties. The surface states protected by the topology of the system hold limitless potentials including topological ... -
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 ...