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    Browsing Mathematics (MA) by Title

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      • Maps Between Non-compact Surfaces 

        Das, Sumanta
        This thesis focuses on studying proper maps between two non-compact surfaces with a particular emphasis on the topological rigidity and the Hopfian property. Topological rigidity is the property that every homotopy equivalence ...
      • Matchings Between Point Processes 

        Jana, Indrajit (2014-06-20)
      • Mechanising knot Theory 

        Prathamesh, Turga Venkata Hanumantha (2018-01-31)
        Mechanisation of Mathematics refers to use of computers to generate or check proofs in Mathematics. It involves translation of relevant mathematical theories from one system of logic to another, to render these theories ...
      • Minimal Crystallizations of 3- and 4- Manifolds 

        Basak, Biplab (2018-06-11)
        A simplicial cell complex K is the face poset of a regular CW complex W such that the boundary complex of each cell is isomorphic to the boundary complex of a simplex of same dimension. If a topological space X is homeomorphic ...
      • Mixed Norm Estimates in Dunkl Setting and Chaotic Behaviour of Heat Semigroups 

        Boggarapu, Pradeep (2018-01-03)
        This thesis is divided into three parts. In the first part we study mixed norm estimates for Riesz transforms associated with various differential operators. First we prove the mixed norm estimates for the Riesz transforms ...
      • The Momentum Construction Method for Higher Extremal Kähler and Conical Higher cscK Metrics 

        Sompurkar, Rajas Sandeep
        This thesis consists of two parts. In both the parts we study two new notions of canonical K\"ahler metrics on compact K\"ahler manifolds which were introduced by Pingali, viz. `higher extremal K\"ahler metric' and ...
      • The monopole-dimer model and eccentricities for Cartesian product of graphs 

        Arora, Anita
        This thesis comprises two main parts. The details of the two parts are as follows: The first part of the thesis deals with the monopole-dimer model. The dimer (resp. monomer-dimer) model deals with weighted enumeration of ...
      • Multi-scale Modelling of HLA Diversity and Its Effect on Cytotoxic Immune Responses in Influenza H1N1 Infection 

        Mukherjee, Sumanta (2018-06-06)
        Cytotoxic T-lymphocytes (CTLs) are important components of the adaptive immune system and function by scanning the intracellular environment so as to detect and de-stroy infected cells. CTL responses play a major role in ...
      • A Multiscale Modeling Study of Iron Homeostasis in Mycrobacterium Tuberculosis 

        Ghosh, Soma (2018-05-10)
        Mycobacterium tuberculosis (M.tb), the causative agent of tuberculosis (TB), has remained the largest killer among infectious diseases for over a century. The increasing emergence of drug resistant varieties such as the ...
      • 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 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. ...

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