Now showing items 32-51 of 263
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Contractivity, Complete Contractivity and Curvature Inequalities
Let ???A\| \cdot \|_A???A? be a norm on Cm\mathbb{C}^mCm given by the formula ?(z1,…,zm)?A=?z1A1+?+zmAm?\|(z_1, \ldots, z_m)\|_A = \|z_1 A_1 + \cdots + z_m A_m\|?(z1?,…,zm?)?A?=?z1?A1?+?+zm?Am?? for some choice of an ... -
Controlled Semi-Markov Processes With Partial Observation
(2011-09-28) -
Convergence of state distributions in multi-type Bellman-Harris and Crump Mode-Jagers branching processes
Athreya and Kaplan proved recently that the age distribution in a one?type supercritical Bellman–Harris process converges with probability one to a deterministic distribution, assuming either a j log j hypothesis on the ... -
Correlation Functions in the Finite Toom Model
This thesis is divided into four chapters. In Chapter 1, we give some basic definitions and results that we need throughout the thesis. In Chapter 2, we describe the pn0;n1q-Toom model and prove some known results about ... -
Correlations in multispecies asymmetric exclusion processes
The main aim of this thesis is to study the correlations in multispecies exclusion processes inspired by the research of Ayyer and Linusson (Trans. AMS., 2017) where they studied correlations in the multispecies TASEP on ... -
Curvature Calculations Of The Operators In Cowen-Douglas Class
(2014-03-03)In a foundational paper “Operators Possesing an Open Set of Eigenvalues” written several decades ago, Cowen and Douglas showed that an operator T on a Hilbert space ‘H possessing an open set Ω C of eigenvalues determines ... -
Curves on Surfaces
This project report concerns the study of simple closed curves on surfaces. Specifically, we consider the question of when a closed curves on a torus can be deformed to a simple closed curve. We also consider applications ... -
Decomposition of the tensor product of Hilbert modules via the jet construction and weakly homogeneous operators
Let ½ Cm be a bounded domain and K :£!C be a sesqui-analytic function. We show that if ®,¯ È 0 be such that the functions K® and K¯, defined on £, are non-negative definite kernels, then theMm(C) valued function ... -
Development of Efficient Computational Methods for Better Estimation of Optical Properties in Diffuse Optical Tomography
(2018-04-02)Diffuse optical tomography (DOT) is one of the promising imaging modalities that pro- vides functional information of the soft biological tissues in-vivo, such as breast and brain tissues. The near infrared (NIR) light ... -
Development Of NMR Methods For Metabolomics And Protein Resonance Assignments
(2017-05-25)Nuclear Magnetic Resonance (NMR) spectroscopy is a quantitative, non-invasive and non-destructive technique useful in biological studies. By manipulating the magnetization of nuclei with non-zero spin, NMR gives insights ... -
Dilation Theory of Contractions and Nevanlinna-Pick Interpolation Problem
In this article, we give two different proofs of the existence of the minimal isometric dilation of a single contraction. Then using the existence of a unitary dilation of a contraction, we prove the `von Neumann's ... -
Dilations, Functoinal Model And A Complete Unitary Invariant Of A r-contraction.
(2013-08-02)A pair of commuting bounded operators (S, P) for which the set r = {(z 1 +z 2,z 1z 2) : |z 1| ≤1, |z 2| ≤1} C2 is a spectral set, is called a r-contraction in the literature. For a contraction P and a bounded commutant ... -
Duality for Spaces of Holomorphic Functions into a Locally Convex Topological Vector Space
Consider an open subset O of the complex plane and a function f : O ÝÑ C. We understand the concept of holomorphicity of a complex-valued function. Suppose a function f defined on O takes values in a locally convex ... -
Dynamic Flow Rules in Continuum Visco-plasticity and Damage Models for Poly-crystalline Solids
Modelling highly non-linear, strongly temperature- and rate-dependent visco-plastic behaviour of poly-crystalline solids (e.g., metals and metallic alloys) is one of the most challenging topics of contemporary research ... -
Dynamical Properties of Families of Holomorphic Mappings
(2018-06-08)Thesis Abstract In the first part of the thesis, we study some dynamical properties of skew products of H´enon maps of C2 that are fibered over a compact metric space M . The problem reduces to understanding the dynamical ... -
Eigenvalues of Products of Random Matrices
(2018-02-07)In this thesis, we study the exact eigenvalue distribution of product of independent rectangular complex Gaussian matrices and also that of product of independent truncated Haar unitary matrices and inverses of truncated ... -
Electromagnetic waves in plasmas
This thesis embodies the investigations on the electromagnetic waves in plasmas. The investigations fall under two general headings, namely, wave propagation in plasmas in the presence of the Coriolis force (Part I) and ...