Browsing Mathematics (MA) by Title
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SemiMarkov Processes In Dynamic Games And Finance
(20100701)Two different sets of problems are addressed in this thesis. The first one is on partially observed semiMarkov Games (POSMG) and the second one is on semiMarkov modulated financial market model. In this thesis we study ... 
Shiftlike Automorphisms of Ck
(20180103)We use transcendental shiftlike automorphisms of Ck, k > 2 to construct two examples of nondegenerate 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
(20180131)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 Multiplayer Stochastic Dynamic Optimization
(20180406)In this thesis we investigate single and multiplayer stochastic dynamic optimization problems. We consider both discrete and continuous time processes. In the multiplayer setup we investigate zerosum games with both ... 
Software Quality Testing And Remedies
(20130118) 
Some Aspects Of The First Passage Time Problem In Neuroscience
(20110808)In the stochastic modeling of neurons, the first passage time problem arises as a natural object of study when considering the inter spike interval distribution. In this report, we study some aspects of this problem as it ... 
Some Descriptions Of The Envelopes Of Holomorphy Of Domains in Cn
(20110809)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
(20171210)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 contractive tuples. These condone deals ... 
Some results on Spectral spaces and Spectral sequences
This thesis is made up of two independent parts. We begin the first part by showing that the collection of all prime ideals of a monoid or, in other words, the spectrum of a commutative monoid, endowed with the Zariski ... 
The Space of Metric Measure Spaces
(20180522)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. ... 
Sparse bounds for various spherical maximal functions
Harmonic analysis mainly deals with the qualitative and quantitative properties of functions and transforms of those functions. It has applications in various areas of Mathematics like PDE, Differential geometry, Ergodic ... 
Spectral Theory And Root Bases Associated With Multiparameter Eigenvalue Problems
(20100601)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
(20180521)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 ... 
Stochastic Differential Games In A Bounded Domain
(20121121) 
Structural Bioinformatics of Ligand Recognition in Proteins : A largescale Analysis and Applications in Drug Discovery
Biological processes are governed by highly specific macromolecular interactions. Understanding the precise mechanism of ligand recognition in proteins is essential for deriving features responsible for such recognition ... 
Structural connectivity correlates of human cognition explored with diffusion MRI and tractography
Intact structural connectivity among brain regions is critical to cognition. Structural connectivity forms the substratum for information flow between brain regions, and its plasticity is a hallmark of learning in the ... 
Studies on Dynamic Plasticity of Ligand Binding Sites in Proteins
Molecular recognition between proteins and their associated ligands constitutes ligandinduced protein rewiring thereby enabling the formation of a stable proteinligand complex. The studies presented in this thesis address ... 
Study of Higher Order SplitStep Methods for Stiff Stochastic Differential Equations
(20180406)Stochastic differential equations(SDEs) play an important role in many branches of engineering and science including economics, finance, chemistry, biology, mechanics etc. SDEs (with mdimensional Wiener process) arising ...