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Full-Text Articles in Physical Sciences and Mathematics
Essays On Economic Behaviour And Regulation., Subrato Banerjee Dr.
Essays On Economic Behaviour And Regulation., Subrato Banerjee Dr.
Doctoral Theses
To sum up, this thesis looks at agent behaviour in the laboratory, in the field, and in the market. Firstly, we impose a requirement in the laboratory (Chapter 2) that mimics a regulatory environment (similar to the introduction of a maximum retail price, or a legal fare subject to which an economic transaction must take place), and study individual behaviour subject to our (imposed) requirements. We then study the effect of real-life regulation on the behaviour of economic agents in the field. While the effect of regulation is seen in the field (that is, we see that many auto drivers …
Some Problems In Differential And Subdifferential Calculus Of Matrices., Priyanka Grover Dr.
Some Problems In Differential And Subdifferential Calculus Of Matrices., Priyanka Grover Dr.
Doctoral Theses
A central problem in many subjects like matrix analysis, perturbation theory, numerical analysis and physics is to study the effect of small changes in a matrix A on a function f(A). Among much studied functions on the space of matrices are trace, determinant, permanent, eigenvalues, norms. These are real or complex valued functions. In addition, there are some interesting functions that are matrix valued. For example, the (matrix) absolute value, tensor power, antisymmetric tensor power, symmetric tensor power.When a function is differentiable, one of the ways to study the above problem is by using the derivative of f at A, …
Quantum Stochastic Flows: Trotter Product Formula, Dilations And Quantum Brownian Motion., Biswarup Das Dr.
Quantum Stochastic Flows: Trotter Product Formula, Dilations And Quantum Brownian Motion., Biswarup Das Dr.
Doctoral Theses
Motivated by the major role played by probabilistic models in many areas of science, several quantum (i.e. non-commutative) generalizations of classical probability have been attempted by a number of mathematicians. The pioneering works of K.R. Parthasarathy, L. Accardi, R.L. Hudson, P.A. Meyer and others led to the development of one such non-commutative model called ‘quantum probability’ which has a very rich theory of quantum stochastic calculus a la Hudson and Parthasarathy. Within the framework of quantum stochastic calculus, the ‘grand design’ that engages us is the canonical construction and study of ∗-homomorphic flows (jt)t≥0 on a given C ∗ or …
Quantum Stochastic Dilation Of A Class Of Quantum Dynamical Semigroups And Quantum Random Walks., Lingaraj Sahu Dr.
Quantum Stochastic Dilation Of A Class Of Quantum Dynamical Semigroups And Quantum Random Walks., Lingaraj Sahu Dr.
Doctoral Theses
No abstract provided.
Spectral Triples And Metric Aspects Of Geometry On Some Noncommutative Spaces., Partha Sarathi Chakraborty Dr.
Spectral Triples And Metric Aspects Of Geometry On Some Noncommutative Spaces., Partha Sarathi Chakraborty Dr.
Doctoral Theses
Quantization of mathematical theories is now more than half a century old idea in mathe- matics. It goes back to Gelfand-Naimarks seminal paper [37] in 1943. As the name suggests noncommutative geometry is the quantization" of differential geometry. It is the study of noncommutative algebras as if they were algebras of functions on spaces like the commuta- tive algebras associated to affine algebraic varieties, smooth manifolds, topological spaces. One can trace its roots in the Gelfand-Naimark theorems (1943, 37]). In modern terminol- ogy their theorem says there is an antiequivalence between the category of (locally) compact Hausdorff spaces and (proper, …
Quantum Stochastic Dilation Of Completely Positive Semigroups And Flows., Debashish Goswami Dr.
Quantum Stochastic Dilation Of Completely Positive Semigroups And Flows., Debashish Goswami Dr.
Doctoral Theses
The central theme of the present thesia is quantum stochastic dilation af semigroupe of completely panitive mapa on operator algebran. It is the sim of all mathemati- cal, or even all scientific theorics, to understand a given class of objects through a tanonical and simpler subclass of it. For example, abstract C"-algebras are studied through their conerete realisation as elgebra of operators, contractions on a Hilbert space by unitaries. Hilbert modules by the factorissble ones, to mention anly a few. In most af these caes, a general object of the relavant class is sociated with a canonical candidate of the …
Some Problems In Joint Spectral Theory., Tirthankar Bhattacharya Dr.
Some Problems In Joint Spectral Theory., Tirthankar Bhattacharya Dr.
Doctoral Theses
No abstract provided.
Applications Of The Calculus For Factorial Arrangements And Allied Topics., Mausumi Bose Dr.
Applications Of The Calculus For Factorial Arrangements And Allied Topics., Mausumi Bose Dr.
Doctoral Theses
This thesis deals primarily with the application of the calculus for factorial ar- rangements (Kurkjian and Zelen (1962, 1963)) to various designs. The thesis has been divided into six chapters. We have made extensive use of Kronecker products and various other results from matrix theory. The results in the first two chapters involve the use of projection operators.In the first four chapters, different classes of factorial experiments have been studied by applying the calculus. Chapter 5 deals with another class of designs called repeated measurements designs (RMD's). It has been shown that the calculus for factorial arrangements serves as a …