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    Browsing Mathematics (MA) by Title

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      • Controlled Semi-Markov Processes With Partial Observation 

        Goswami, Anindya (2011-09-28)
      • Correlation Functions in the Finite Toom Model 

        Gupta, Himanshu
        This thesis is divided into four chapters. In Chapter 1, we give some basic definitions and results that we need throughout the thesis. In Chapter 2, we describe the pn0;n1q-Toom model and prove some known results about ...
      • Correlations in multispecies asymmetric exclusion processes 

        Pahuja, Nimisha
        The main aim of this thesis is to study the correlations in multispecies exclusion processes inspired by the research of Ayyer and Linusson (Trans. AMS., 2017) where they studied correlations in the multispecies TASEP on ...
      • Curvature Calculations Of The Operators In Cowen-Douglas Class 

        Deb, Prahllad (2014-03-03)
        In a foundational paper “Operators Possesing an Open Set of Eigenvalues” written several decades ago, Cowen and Douglas showed that an operator T on a Hilbert space ‘H possessing an open set Ω C of eigenvalues determines ...
      • Curvature Inequalities for Operators in the Cowen-Douglas Class of a Planar Domain 

        Reza, Md. Ramiz (2018-01-04)
      • Decomposition of the tensor product of Hilbert modules via the jet construction and weakly homogeneous operators 

        Ghara, Soumitra
        Let ­½ Cm be a bounded domain and K :­£­!C be a sesqui-analytic function. We show that if ®,¯ È 0 be such that the functions K® and K¯, defined on ­£­, are non-negative definite kernels, then theMm(C) valued function ...
      • Degree-Regular Triangulations Of The Torus, The Klein Bottle And The Double-Torus 

        Upadhyay, Ashish Kumar (2011-09-28)
      • Development of Efficient Computational Methods for Better Estimation of Optical Properties in Diffuse Optical Tomography 

        Ravi Prasad, K J (2018-04-02)
        Diffuse optical tomography (DOT) is one of the promising imaging modalities that pro- vides functional information of the soft biological tissues in-vivo, such as breast and brain tissues. The near infrared (NIR) light ...
      • Development Of NMR Methods For Metabolomics And Protein Resonance Assignments 

        Dubey, Abhinav (2017-05-25)
        Nuclear Magnetic Resonance (NMR) spectroscopy is a quantitative, non-invasive and non-destructive technique useful in biological studies. By manipulating the magnetization of nuclei with non-zero spin, NMR gives insights ...
      • Dilation Theory of Contractions and Nevanlinna-Pick Interpolation Problem 

        Mandal, Samir Ch
        In this article, we give two different proofs of the existence of the minimal isometric dilation of a single contraction. Then using the existence of a unitary dilation of a contraction, we prove the `von Neumann's ...
      • Dilations, Functoinal Model And A Complete Unitary Invariant Of A r-contraction. 

        Pal, Sourav (2013-08-02)
        A pair of commuting bounded operators (S, P) for which the set r = {(z 1 +z 2,z 1z 2) : |z 1| ≤1, |z 2| ≤1} C2 is a spectral set, is called a r-contraction in the literature. For a contraction P and a bounded commutant ...
      • Dominating surface-group representations via Fock-Goncharov coordinates 

        Barman, Pabitra
        Pls see Abstract pdf file
      • Duality for Spaces of Holomorphic Functions into a Locally Convex Topological Vector Space 

        Sehgal, Kriti
        Consider an open subset O of the complex plane and a function f : O ÝÑ C. We understand the concept of holomorphicity of a complex-valued function. Suppose a function f defined on O takes values in a locally convex ...
      • Dynamic Flow Rules in Continuum Visco-plasticity and Damage Models for Poly-crystalline Solids 

        Rahaman, Md Masiur
        Modelling highly non-linear, strongly temperature- and rate-dependent visco-plastic behaviour of poly-crystalline solids (e.g., metals and metallic alloys) is one of the most challenging topics of contemporary research ...
      • Dynamical Properties of Families of Holomorphic Mappings 

        Pal, Ratna (2018-06-08)
        Thesis Abstract In the first part of the thesis, we study some dynamical properties of skew products of H´enon maps of C2 that are fibered over a compact metric space M . The problem reduces to understanding the dynamical ...
      • Eigenvalues of Products of Random Matrices 

        Nanda Kishore Reddy, S (2018-02-07)
        In this thesis, we study the exact eigenvalue distribution of product of independent rectangular complex Gaussian matrices and also that of product of independent truncated Haar unitary matrices and inverses of truncated ...
      • Existence and implications of positively curved metrics on holomorphic vector bundles 

        Mandal, Arindam
        This thesis is divided into two parts. In the first part, we study interpolating and uniformly flat hypersurfaces in complex Euclidean space. The study of interpolation and sampling in the Bargmann-Fock spaces on the complex ...
      • Exploring Polynomial Convexity Of Certain Classes Of Sets 

        Gorai, Sushil (2011-07-18)
        Let K be a compact subset of Cn . The polynomially convex hull of K is defined as The compact set K is said to be polynomially convex if = K. A closed subset is said to be locally polynomially convex at if there ...
      • Finite Element Analysis of Interior and Boundary Control Problems 

        Chowdhury, Sudipto (2018-06-18)
        The primary goal of this thesis is to study finite element based a priori and a posteriori error estimates of optimal control problems of various kinds governed by linear elliptic PDEs (partial differential equations) of ...
      • Finite Element Analysis of Optimal Control Problems Governed by Certain PDEs 

        Sau, Ramesh Chandra
        The primary goal of this thesis is to study finite element based \textit{a priori} and \textit{a posteriori} error analysis of optimal control problems of various kinds governed by linear elliptic PDEs of second order. ...

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