Browsing Mathematics (MA) by Subject "Mathematics"
Now showing items 41-60 of 67
-
On Critical Points of Random Polynomials and Spectrum of Certain Products of Random Matrices
(2018-07-30)In the first part of this thesis, we study critical points of random polynomials. We choose two deterministic sequences of complex numbers, whose empirical measures converge to the same probability measure in complex plane. ... -
On The Structure of Proper Holomorphic Mappings
(2017-09-28)The aim of this dissertation is to give explicit descriptions of the set of proper holomorphic mappings between two complex manifolds with reasonable restrictions on the domain and target spaces. Without any restrictions, ... -
Operator Theory on Symmetrized Bidisc and Tetrablock-some Explicit Constructions
(2018-07-26)A pair of commuting bounded operators (S; P ) acting on a Hilbert space, is called a -contraction, if it has the symmetrised bides = f(z1 + z2; z1z2) : jz1j 1; jz2j 1g C2 as a spectral set. For every -contraction (S; P ), ... -
The Pick-Nevanlinna Interpolation Problem : Complex-analytic Methods in Special Domains
(2018-06-13)The Pick–Nevanlinna interpolation problem, in its fullest generality, is as follows: Given domains D1, D2 in complex Euclidean spaces, and a set f¹ zi; wiº : 1 i N g D1 D2, where zi are distinct and N 2 š+, N 2, find ... -
Positivity preservers forbidden to operate on diagonal blocks
The question of which functions acting entrywise preserve positive semidefiniteness has a long history, beginning with the Schur product theorem [Crelle 1911], which implies that absolutely monotonic functions (i.e., ... -
A Posteriori Error Analysis of Discontinuous Galerkin Methods for Elliptic Variational Inequalities
(2018-02-15)The main emphasis of this thesis is to study a posteriori error analysis of discontinuous Galerkin (DG) methods for the elliptic variational inequalities. The DG methods have become very pop-ular in the last two decades ... -
Recognition of Structures, Functions and Interactions of Proteins of Pathogens : Implications in Drug Discovery
(2018-07-14)Significant advancements in genome sequencing techniques and other high-throughput initiatives have resulted in the availability of complete sequences of genomes of a large number of organisms, which provide an opportunity ... -
Riesz Transforms Associated With Heisenberg Groups And Grushin Operators
(2015-12-08)We characterise the higher order Riesz transforms on the Heisenberg group and also show that they satisfy dimension-free bounds under some assumptions on the multipliers. We also prove the boundedness of the higher order ... -
Rigidity And Regularity Of Holomorphic Mappings
(2015-07-16)We deal with two themes that are illustrative of the rigidity and regularity of holomorphic mappings. The first one concerns the regularity of continuous CR mappings between smooth pseudo convex, finite type hypersurfaces ... -
Semi-Markov Processes In Dynamic Games And Finance
(2010-07-01)Two different sets of problems are addressed in this thesis. The first one is on partially observed semi-Markov Games (POSMG) and the second one is on semi-Markov modulated financial market model. In this thesis we study ... -
Shift-like Automorphisms of Ck
(2018-01-03)We use transcendental shift-like automorphisms of Ck, k > 2 to construct two examples of non-degenerate entire mappings with prescribed ranges. The first example exhibits an entire mapping of Ck, k>2 whose range avoids a ... -
Shortest Length Geodesics on Closed Hyperbolic Surfaces
(2018-01-31)Given a hyperbolic surface, the set of all closed geodesics whose length is minimal form a graph on the surface, in fact a so called fat graph, which we call the systolic graph. The central question that we study in this ... -
Single and Multi-player Stochastic Dynamic Optimization
(2018-04-06)In this thesis we investigate single and multi-player stochastic dynamic optimization prob-lems. We consider both discrete and continuous time processes. In the multi-player setup we investigate zero-sum games with both ... -
Some Descriptions Of The Envelopes Of Holomorphy Of Domains in Cn
(2011-08-09)It is well known that there exist domains Ω in Cn,n ≥ 2, such that all holomorphic functions in Ω continue analytically beyond the boundary. We wish to study this remarkable phenomenon. The first chapter seeks to motivate ... -
Some Problems in Multivariable Operator Theory
(2017-12-10)In this thesis we have investigated two different types of problems in multivariable operator theory. The first one deals with the defect sequence for contractive tuples and maximal con-tractive tuples. These condone deals ... -
The Space of Metric Measure Spaces
(2018-05-22)This thesis is broadly divided in two parts. In the first part we give a survey of various distances between metric spaces, namely the uniform distance, Lipschitz distance, Hausdor distance and the Gramoz Hausdor distance. ... -
Spectral Theory And Root Bases Associated With Multiparameter Eigenvalue Problems
(2010-06-01)Consider (1) -yn1+ q1y1 = (λr11 + µr12)y1 on [0, 1] y’1(0) = cot α1 and = y’1(1) = a1λ + b1 y1(0) y1(1) ... -
Stabilization Schemes for Convection Dominated Scalar Problems with Different Time Discretizations in Time dependent Domains
(2018-05-21)Problems governed by partial differential equations (PDEs) in deformable domains, t Rd; d = 2; 3; are of fundamental importance in science and engineering. They are of particular relevance in the design of many engineering ...