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Now showing items 1-10 of 67

#### 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 ...

#### 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. ...

#### Analysis of Proportional Navigation Class of Guidance Law against Agile Targets

(2017-12-12)

Guidance is defined as the determination of a strategy for following a nominal path in the presence of o-nominal conditions, disturbances and uncertainties, and the strategy employed is called a guidance law. Variants of ...

#### 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 ...

#### Study of Optimal Control Problems in a Domain with Rugose Boundary and Homogenization

(2017-12-10)

Mathematical theory of partial differential equations (PDEs) is a pretty old classical area with wide range of applications to almost every branch of science and engineering. With the advanced development of functional ...

#### 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 ...

#### 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 ...

#### 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 ...

#### Analytic and Entire Vectors for Representations of Lie Groups

(2018-01-01)

We start with the recollection of basic results about differential manifolds and Lie groups. We also recall some preliminary terminologies in Lie algebra. Then we define the Lie algebra corresponding to a Lie group. In the ...