Browsing IMSc Theses/ Dissertations by Title

Browsing IMSc Theses/ Dissertations by Title

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  • Next-to-Soft Virtual resummed corrections to processes at the LHC [HBNI Th237] 
    Surabhi Tiwari (The Institute of Mathematical Sciences, )
    This thesis contains works mainly on soft-virtual approximation to inclusive and differ- ential observables for various Sudakov-type processes at the hadron colliders. Threshold resummation for a generic n-colorless final ...
  • Non-equilibrium dynamics in complex networks [HBNI Th141] 
    Rishu Kumar Singh (The Institute of Mathematical Sciences, 2017)
    Complex systems comprising a large number of strongly interacting components that possess non-trivial dynamics are ubiquitous in nature, examples ranging from the immune system of organisms to ecological food. In the ...
  • Non-Perturbative aspects of Supersymmetric Gauge Theories with surface operators[HBNI Th124] 
    Renjan Rajan John (The Institute of Mathematical Sciences, 2017)
    In this thesis, we study gauge theories with N = 2 supersymmetry in four dimensions. The low energy effective action of these theories on their Coulomb branch is described by a holomorphic function called the prepotential. ...
  • Nonclassicality and entanglement in continuous variable systems[HBNI Th34] 
    Jebathilagar Solomon Ivan (The Institute of Mathematical Sciences, 2011)
    Nonclassicality and entanglement are two important features exhibited by continuous variable quantum states. This thesis is centered on the connection between nonclassicality and entanglement in the context of continuous ...
  • Nonclassicality and photon number distributions in quantum Optics 
    Mary Elizabeth, Selvadoray (, 2009-08-17)
    The nonclassical oscillations in photon number distribution exhibits collapses and revivals similar to those exhibited in the Jaynes-Cumming's model. These oscillations are considered as a qualitative signature of ...
  • Nonlinear Dynamics of wave propagation in Heterogeneous Excitable Media[UNM Th 88] 
    Sridhar, S. (2011-10-14)
    Excitable media is a generic term for a wide range of physical, chemical and biological systems that exhibit spontaneous formation of spatial patterns. Examples of such patterns include spiral waves in a two-dimensional ...
  • Nuclear Architecture from Chromosomes to Motifs[HBNI Th158] 
    Ankit Agrawal (The Institute of Mathematical Sciences, 2019)
    This thesis is divided into 5 chapters. In Chapter 1, the Introduction, we summarise the necessary background to the work described in this thesis, including a discussion of major features of nuclear architecture, the ...
  • Null correlation bundle and secant bundles [HBNI Th86] 
    Krishanu Dan (The Institute of Mathematical Sciences, 2015)
  • On certain invariants of random digraphs and uniform hypergraphs[HBNI Th68] 
    Kunal Dutta (The Institute of Mathematical Sciences, 2014)
    This thesis studies four problems on graphs using the Probabilistic Method. The first two are finding the maximum size of an induced acyclic tournament and acyclic subgraph respectively, in random directed graphs. The ...
  • On Continuous and Discrete Inequalities 
    Thandapani, E. (, 2009-08-06)
    The inequalities furnish a very general comparison principle in studying many qualitative as well as quantitative properties of solutions of related equations. The Gronwall inequality, an example of an inequality for ...
  • On Euclidean ideal classes in abelian extensions[HBNI Th152] 
    Jyothsnaa, S. (The Institute of Mathematical Sciences, 2019)
    The study of growth and distribution of class numbers of number fields constitutes a venerable theme in number theory. The origin of this theory can be traced to Gauss’s Disquisitiones Arithmeticae. One is immediately ...
  • On Intermediate Subfactors[HBNI Th127] 
    Keshab Chandra Bakshi (The Institute of Mathematical Sciences, 2017)
    In this thesis we examine Pimsner-Popa bases which are not necessarily orthonormal (as in the book of Jones and Sunder) for an inclusion of subfactors of finite Jones' index and showed that this can also be done for ...
  • On polynomial algebras and relativistic wave equations 
    Nalini, B. Menon (2009-08-04)
    This thesis deals with polynomial algebras and applications to relativistic wave equations. It consists of three parts, Part I deals with polynomial algebras and some applications to the higher spin theories of relativistic ...
  • On Polynomial Identity Testing and Related Problems[HBNI Th12] 
    Partha Mukhopadhyay (The Institute of Mathematical Sciences, 2009)
    The polynomial identity Testing problem and its connection to several other important complexity theoretic problems are studied in this thesis. Polynomial identity testing problem is considered over commutative and non ...
  • On Proof Complexity for Quantified Boolean Formulas[HBNI Th112] 
    Anil Shukla (The Institute of Mathematical Sciences, 2017)
    Propositional proof complexity–a sub-branch of computational complexity–is an extensively studied area, with a number of lower bound techniques for various propositional proof systems (for example Resolution, and Cutting ...
  • On rings of integers of relative abelian extensions of number fields 
    Venkataraman, S. (, 2009-08-11)
    By a number field, we mean a finite extension of Q. If F is a number field, the ring of integers of F is the integral closure of Z in F. Since the ring of integers of F is finitely generated and torsion free, it is free ...
  • On some group theoretic, ergodic theoretic and operator algebraic aspects of compact quantum groups[HBNI Th104] 
    Issan Patri (The Institute of Mathematical Sciences, 2016)
    In this thesis, we make study compact quantum groups from the viewpoint of group theory, ergodic theory and operator algebras. We define and study the notion of inner automorphisms of compact quantum groups and topological ...
  • On some methods of solutions of stochastic differential equations 
    Parthasarathy, K.V. (, 2009-08-06)
    The main theme of this thesis is to study the Langevin equations arising in different physical contexts, in the light of Ito and Stratonovich theories. The areas of investigation broadly include fluctuation, dissipation ...
  • On some problems in Additive number theory 
    Gyan Prakash (, 2009-11-04)
    This thesis discusses some problems relating the properties of a set A and those of A+A, when A is a subset of an abelian group. Given a finite abelian group G and A is a subset of G, it is said that A is sum-free if the ...
  • On Structure and Lower Bounds in Restricted Models of Arithmetic Computations[HBNI Th118] 
    Raja, S. (The Institute of Mathematical Science, 2017)
    In this thesis some restricted models of arithmetic computation are explored. The main results obtained are summarized below: 1. Depth reduction and lower bound questions for set-multilinear computational models ...

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