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    Browsing Mathematics (MA) by Title

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      • Near Optimal Non-malleable Codes and Leakage Resilient Secret Sharing Schemes 

        Sekar, Sruthi
        A well-studied class of attacks on cryptosystems called "side-channel attacks", stems from the additional access that an adversary can get due to the susceptibility of the hardware on which the cryptosystem (e.g., digital ...
      • Nodal sets of random functions 

        Lakshmi Priya, M E
        This thesis is devoted to the study of nodal sets of random functions. The random functions and the specific aspect of their nodalset that we study fall into two broad categories: nodal component count of Gaussian Laplace ...
      • Normal Spectrum of a Subnormal Operator 

        Kumar, Sumit (2018-03-21)
        Let H be a separable Hilbert space over the complex field. The class S := {N|M : N is normal on H and M is an invariant subspace for Ng of subnormal operators. This notion was introduced by Halmos. The minimal normal ...
      • Novel Upwind and Central Schemes for Various Hyperbolic Systems 

        Garg, Naveen Kumar (2018-05-21)
        The class of hyperbolic conservation laws model the phenomena of non-linear wave propagation, including the presence and propagation of discontinuities and expansion waves. Such nonlinear systems can generate discontinuities ...
      • Numerical Methods for Elliptic Variational Inequalities in Higher Dimensions 

        Sharat, Gaddam
        The main emphasis of this thesis is on developing and implementing linear and quadratic finite element methods for 3-dimensional (3D) elliptic obstacle problems. The study consists of a priori and a posteriori error ...
      • Numerical Simulation Of Converging Nonlinear Wavefronts 

        Sangeeta, K (2013-01-24)
      • Numerical Study Of Regularization Methods For Elliptic Cauchy Problems 

        Gupta, Hari Shanker (2011-06-30)
        Cauchy problems for elliptic partial differential equations arise in many important applications, such as, cardiography, nondestructive testing, heat transfer, sonic boom produced by a maneuvering aerofoil, etc. Elliptic ...
      • 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, ...

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