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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 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 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, ...
      • 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)
      • The Pick-Nevanlinna Interpolation Problem : Complex-analytic Methods in Special Domains 

        Chandel, Vikramjeet Singh (2018-06-13)
        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 

        Vishwakarma, Prateek Kumar
        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 

        Porwal, Kamana (2018-02-15)
        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 pop-ular in the last two decades ...
      • Proof Of A Conjecture Of Frankl And Furedi And Some Related Theorems 

        Ramanan, Gurumurthi V (2013-01-18)
      • Quasi-analytic Functions, Spherical Means, and Uncertainty Principles on Heisenberg Groups and Symmetric Spaces 

        Ganguly, Pritam
        This thesis has two parts. The first part revolves around certain theorems related to an uncertainty principle and quasi-analyticity. In contrast, the second part reflects a different mathematical theme, focusing on the ...

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