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    Browsing Mathematics (MA) by Title

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      • On an ODE Associated to the Ricci Flow 

        Bhattacharya, Atreyee (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 

        Mahadeo, Londhe Mayuresh
        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 

        Rastogi, Shubham
        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 

        Annapareddy, Tulasi Ram Reddy (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 

        Sivaram, P
        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 regular subalgebras of symmetrizable Kac-Moody algebras and related combinatorics 

        Habib, Md Irfan
        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 

        Ghosh, Kartick
        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 The Analytic Theory Of Explosions 

        Yogi, A M Nageswara (2012-05-31)
      • On the Geometry and Operator Theory of the Bidisc and the Symmetrized Bidisc 

        Biswas, Anindya
        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 

        Maitra, Anwoy
        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 

        Paul, Prabal (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 Role Of The Bargmann Transform In Uncertainty Principles 

        Garg, Rahul (2014-04-07)
      • On the Stability of Certain Riemannian Functionals 

        Maity, Soma (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 

        Jaikrishnan, J (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 

        Mete, Ramesh
        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 

        Sau, Haripada (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 Of A Stochastic Hybrid System 

        Sahay, Pankaj (2012-11-21)
      • Orbit Model Analysis And Dynamic Filter Compensation For Onboard Autonomy 

        Akila, S (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, ...
      • Peristaltic Flows With Some Applications 

        Mishra, Manoranjan (2007-12-29)
        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 

        Usha, S (2012-05-31)

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