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DSpace at IMSc: Recent submissions

  • Regular quantifiers in Logics[HBNI Th64] 
    Sreejith, A.V. (The Institute of Mathematical Sciences, 2014)
    In this thesis, we study logic on words extended with regular quantifiers. Modulo counting quantifiers are one particular example of such quantifiers, which have been well studied in the past. These quantifiers can be ...
  • Twisted Conjugacy classes in lattices in semisimple lie groups [HBNI Th63] 
    Mubeena, T. (The Institute of Mathematical Sciences, 2013)
    Let G be a group and let Ø : Γ → Γ be an endomorphism. We define an action g.x := gxØ(g-1), for g,x ε Γ, of Γ on itself. The Ø-twisted conjugacy class of an element x ε Γ is the orbit of this action containing x. ...
  • Model independent extraction of new physics from Hadronic uncertainties in B ---> K* l+ l- Decay[HBNI Th62] 
    Diganta Das (The Institute of Mathematical Sciences, 2013)
    In this thesis using the semi-leptonic decay B → K* l+ l- , it is shown how NP signal can be extracted to all orders in α(s) in perturbation theory, including ‘non-factorizable’ corrections at leading order in ...
  • Extendable endomorphisms of factors [HBNI Th61] 
    Panchugopal Bikram (The Institute of Mathematical Sciences, 2013)
    This thesis is devoted to the study of weak-* continuous semigroups of unital normal *-endomorphisms on arbitrary factors. It is divided into three chapters. The first chapter proposes a rephrasing of the notion of a ...
  • Attractor mechanism in gauged Supergravity[HBNI Th58] 
    Inbasekar Karthik (The Institute of Mathematical Sciences, 2013)
    Theme of Thesis: One of the significant successes of string theory as a quantum theory of gravity is that it can give a statistical description of the thermodynamic black hole entropy via microstate counting and a macroscopic ...
  • L0-Types common to a Borel-De Siebenthal Discrete series and its associated holomorphic discrete series[HBNI Th60] 
    Pampa Paul (The Institute of Mathematical Sciences, 2013)
    In this thesis, to each Borel-de Siebenthal discrete series representation of G(0), the author would associate a holomorphic discrete series representation of K*(0). The main aim of the thesis is to compare the restrictions ...
  • Probability in von Neumann Algebras[HBNI Th57] 
    Madhushree Basu (The Institute of Mathematical Sciences, 2013)
    This thesis is based on a few observations on applications and analogues of certain features of Probability theory in non-commutative W*-probability spaces. A non-commutative W* probability space is a pair (A, φ ) of an ...
  • Phase transitions in Polyelectrolyte systems[HBNI Th56] 
    Anoop Varghese (The Institute of Mathematical Sciences, 2013)
    Polyelectrolytes (PEs) are polymers whose monomers contain ionizable groups that dissociate in polar solvents, releasing charged counterions into the solvent, thereby making the polymer backbone charged. The thermodynamic ...
  • Parameterized graph separation problems: new techniques and algorithms[HBNI Th59] 
    Ramanujan, M.S. (The Institute of Mathematical Sciences, 2013)
    Menger's theorem, which states that the minimum number of vertices whose removal disconnects two vertices s and t in a graph is equal to the maximum number of pairwise vertex disjoint paths from s to t in the graph, is an ...
  • Unique factorization of tensor products for Kac-Moody Algebras [HBNI Th55] 
    Venkatesh, R. (The Institute of Mathematical Sciences, 2013)
    In the first part, we address a fundamental question, unique factorization of tensor products, that arises in representation theory. We consider integrable, category O modules of indecomposable symmetrizable Kac-Moody ...
  • The t-analogue of string functions for the affine Kac-Moody algebras[HBNI Th54] 
    Sachin Sharma (The Institute of Mathematical Sciences, 2013)
    The author studies Lusztig's t-analogue of weight multiplicities associated to the irreducible integrable highest weight modules of affine Kac-Moody algebras. First, for the level one representation of twisted affine ...
  • Zeros of general L-functions on the critical line[HBNI Th52] 
    Krishnan Rajkumar (The Institute of Mathematical Sciences, 2013)
    The author studies the gaps between consecutive zeros on the critical line for the Riemann zeta function, and some of its generalisations, namely, the Epstein zeta function and the Selberg class of functions. First a ...
  • Some problems in number theory [HBNI Th50] 
    Prem Prakash Pandey (The Institute of Mathematical Sciences, 2013)
    In this thesis the author has worked on three different problems. Some progress is reported on these three problems. The first problem considered is about "Higher Residue Symbols". Given a finite set S of integers, the ...
  • Periodic Dirichlet series and Transcendence [HBNI Th53] 
    Tapas Chatterjee (The Institute of Mathematical Sciences, 2013)
  • Topological Qubits in Quantum spin chains [HBNI Th51] 
    Abhinav Saket (The Institute of Mathematical Sciences, 2013)
    This thesis investigates one dimensional generalisations of the Kitaev model and study robustness of topological qubits in one dimensional quantum spin chains. The Kitaev model, a two dimensional model on honeycomb lattice, ...
  • Temporal specifications of client-server systems and unbounded Agents[HBNI Th49] 
    Sheerazuddin, S (The Institute of Mathematical Sciences, 2013)
    The Client-server model of computing is a distributed application structure that partitions tasks or workloads between service providers, called servers, and service requesters, called clients. In this thesis, the formal ...
  • Exclusion Statistics: From Pauli to Haldane[MatSciRep: 120] 
    Murthy, M.V.N.; Shankar, R. (2013-01-28)
    Quantum statistics provides a way of understanding the statistical mechanics of particles whose dynamical evolution is inherently governed by quantum mechanics. The statistics of all observed particles are covered by the ...
  • Principal bundles and bundles with parabolic structure[UNM Th87] 
    Arijit Dey (, 2013-01-25)
  • Matrix models Random surfaces and 2D gravity: November 19 - 23, 1990 [MatSciRep: 113] 
    Haridass, N. D. (2012-10-30)
    This report containing proceedings of the "Mini Workshop on Matrix Models, Random Surfaces and 2-D Gravity" held during November 1990. This was first in the series of Workshops held at our Institute. The organizing ...
  • Geometry of tensor triangulated categories [HBNI Th 47] 
    Umesh Vanktesh Dubey (The Institute of Mathematical Sciences, 2012)
    Given a quasi-projective scheme X with an action of a finite group G, consider the tensor triangulated category DG(X). The present study relates the spectrum of this category, as defined by P. Balmer, with the spectrum ...