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Now showing items 51-60 of 153
On an ODE Associated to the Ricci Flow
(2018-04-18)
We discuss two topics in this talk. First we study compact Ricci-flat four dimensional manifolds without boundary and obtain point wise restrictions on curvature( not involving global quantities such as volume and diameter) ...
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 ...
Study of Higher Order Split-Step Methods for Stiff Stochastic Differential Equations
(2018-04-06)
Stochastic differential equations(SDEs) play an important role in many branches of engineering and science including economics, finance, chemistry, biology, mechanics etc. SDEs (with m-dimensional Wiener process) arising ...
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 ...
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 ...
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 ...
A computational systems biology approach for elucidating molecular features of primary and metastatic melanoma
Malignant melanoma, a cancer arising from melanocytes, is reported to have one of
the fastest growing incidence rates worldwide, and is considered to be one of the most
aggressive human malignancies. According to the ...
Studies on Dynamic Plasticity of Ligand Binding Sites in Proteins
Molecular recognition between proteins and their associated ligands constitutes ligand-induced protein rewiring thereby enabling the formation of a stable protein-ligand complex. The studies presented in this thesis address ...