Browsing Mathematics (MA) by Title
Now showing items 53-72 of 262
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Ergodic and adaptive control of markov processes.
We address the problem of controlling two classes of Markov processes, viz., Markov chains and diffusion processes. Our main goal is to minimize a long-run average cost criterion (or ergodic cost criterion) associated with ... -
Exact analytic solutions for some classes of partial differential equations
Exact solutions of linear partial differential equations with variable coefficients and those of nonlinear partial differential equations are dilEcult to obtain. The present thesis attempts to extend the existing methods ... -
Existence and implications of positively curved metrics on holomorphic vector bundles
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
(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
(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
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. ... -
Finite field computational techniques for exact solution of numerical problems
In this dissertation, we consider the application of residue arithmetic for the exact computation of g-inverses in order to obviate the round-off errors normally associated with their computation. It turns out that for ... -
Finite section convolution integral operators structure of resolvent and solution of first kind equations
This thesis investigates the structure of the solutions of Fredholm integral equations of the first and second kinds with convolution kernels on finite intervals and some of its applications. The thesis is divided into ... -
Flow in pipes of uniform and non-uniform cross-sections with physiological applications
Laminar flow in pipes and channels with uniform and non-uniform cross-sections plays an important role in many engineering and physiological flow problems. Flow of blood through catheterised and stenosed (constricted) blood ... -
A Formal Proof of Feit-Higman Theorem in Agda
(2018-02-18)In this thesis we present a formalization of the combinatorial part of the proof of Feit-Higman theorem on generalized polygons. Generalised polygons are abstract geometric structures that generalize ordinary polygons and ... -
Fourier Analysis And Allied Methods In Problems Of Scattering And Radiation Of Water Waves
(2012-05-31)As has been discussed in the previous section, the growth of various methods (analytical methods like Green's function technique, application of Green's integral theorem, application of Fourier analysis—both Fourier transform ... -
Fourier Analysis On Number Fields And The Global Zeta Functions
(2014-08-04)The study of zeta functions is one of the primary aspects of modern number theory. Hecke was the first to prove that the Dedekind zeta function of any algebraic number field has an analytic continuation over the whole plane ... -
Fourier coeffcients of modular forms and mass of pullbacks of Saito–Kurokawa lifts
In the first part of the talk we would discuss a topic about the Fourier coefficients of modular forms. Namely, we would focus on the question of distinguishing two modular forms by certain ‘arithmetically interesting’ ... -
Fredholm determinant and decay properties of eigenvalues of hilbert-schmidt integral operators
In this thesis, some properties of the eigenvalues of Hilbert-Schmidt integral operators (briefly H-S operators) are investigated. This thesis consists of three chapters. In the first two chapters, H-S operators of the ... -
Function Theory On Non-Compact Riemann Surfaces
(2014-06-30)The theory of Riemann surfaces is quite old, consequently it is well developed. Riemann surfaces originated in complex analysis as a means of dealing with the problem of multi-valued functions. Such multi-valued functions ... -
Geometric invariants for a class of submodules of analytic Hilbert modules
Let $\Omega \subseteq \mathbb C^m$ be a bounded connected open set and $\mathcal H \subseteq \mathcal O(\Omega)$ be an analytic Hilbert module, i.e., the Hilbert space $\mathcal H$ possesses a reproducing kernel $K$, the ... -
Geometry of normed linear spaces in light of Birkhoff-James orthogonality
In this thesis, we have tried to understand the geometry of normed spaces in the light of Birkhoff-James orthogonality. Using the first two chapters to give introductory notes and to establish relevant notations and ... -
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 ...