Browsing Mathematics (MA) by Subject "Mathematics"
Now showing items 21-40 of 67
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Goldman Bracket : Center, Geometric Intersection Number & Length Equivalent Curves
(2017-11-30)Goldman [Gol86] introduced a Lie algebra structure on the free vector space generated by the free homotopy classes of oriented closed curves in any orientable surface F . This Lie bracket is known as the Goldman bracket ... -
Graph Spectral Methods for Analysis of Protein Structures
Network representation of protein structures is an information-rich mode of examining protein structure, dynamics and its interactions with biomolecules. Graph spectral methods are extremely useful and powerful in analysing ... -
The Green's Function, the Bergman Kernel and Quadrature Domains in Cn
(2018-06-08)In the first part of this thesis, we prove two density theorems for quadrature domains in Cn ,n≥2. It is shown that quadrature domains are dense in the class of all product domains of the form D×Ωwhere D⊂Cn−1 is a smoothly ... -
Hand-Movement Prediction Using LFP Data
(2011-08-08)The last decade has seen a surge in the development of Brain-Machine Interfaces (BMI) as assistive neural devices for paralysis patients. Current BMI research typically involves a subject performing movements by controlling ... -
Homogeneous Operators
(2018-06-13)A bounded operator T on a complex separable Hilbert space is said to be homogeneous if '(T ) is unitarily equivalent to T for all ' in M•ob, where M•ob is the M•obius group. A complete description of all homogeneous weighted ... -
Homogeneous Operators and Some Irreducible Representations of the Mobius Group
In this report, after recalling the definition of the M¨obius group, we define homogeneous operators, that is, operators T with the property '(T) is unitarily equivalent to T for all ' in the M¨obius group and prove some ... -
Homogenization of Optimal Control Problems in a Domain with Oscillating Boundary
(2017-11-27)Mathematical theory of homogenization of partial differential equations is relatively a new area of research (30-40 years or so) though the physical and engineering applications were well known. It has tremendous applications ... -
Joint Eigenfunctions On The Heisenberg Group And Support Theorems On Rn
(2014-04-07)This work is concerned with two different problems in harmonic analysis, one on the Heisenberg group and other on Rn, as described in the following two paragraphs respectively. Let Hn be the (2n + 1)-dimensional Heisenberg ... -
Kinetic Theory Based Numerical Schemes for Incompressible Flows
(2018-02-07)Turbulence is an open and challenging problem for mathematical approaches, physical modeling and numerical simulations. Numerical solutions contribute significantly to the understand of the nature and effects of turbulence. ... -
Lp-Asymptotics of Fourier Transform Of Fractal Measures
(2018-06-08)One of the basic questions in harmonic analysis is to study the decay properties of the Fourier transform of measures or distributions supported on thin sets in Rn. When the support is a smooth enough manifold, an almost ... -
Matchings Between Point Processes
(2014-06-20) -
Mechanising knot Theory
(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
(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
(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 ... -
Multi-scale Modelling of HLA Diversity and Its Effect on Cytotoxic Immune Responses in Influenza H1N1 Infection
(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 ... -
Near Optimal Non-malleable Codes and Leakage Resilient Secret Sharing Schemes
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 ... -
Normal Spectrum of a Subnormal Operator
(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
(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 Simulation Of Converging Nonlinear Wavefronts
(2013-01-24)