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# Browsing Dissertations by Subject "Mathematics"

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• ([Bloomington, Ind.] : Indiana University, 2010-06-01)
My dissertation is to study the bifurcation, stability and phase transitions of incompressible fluid flows. Bifurcation is a versatile methodology to trace solutions of physical problems along with the system parameter and ...
• ([Bloomington, Ind.] : Indiana University, 2010-05-24)
Given an endofunctor T in a category C, a coalgebra is a pair (X,c) consisting of an object X and a morphism c:X ->T(X). X is called the carrier and the morphism c is called the structure map of the T-coalgebra. The ...
• ([Bloomington, Ind.] : Indiana University, 2010-06-01)
These days, the study of probabilistic systems is very popular not only in theoretical computer science but also in economics. There is a surprising concurrence between game theory and probabilistic programming. J.C. ...
• ([Bloomington, Ind.] : Indiana University, 2010-05-24)
We study convolutions that arise from noncommutative probability theory. In the case of the free convolutions, we prove that the absolutely continuous part, with respect to the Lebesgue measure, of the free convolution of ...
• ([Bloomington, Ind.] : Indiana University, 2010-06-01)
In his 1992 paper First return path derivatives, R. J. O'Mally defines a First Return Path System, motivated by the Poincaré first return map of differential dynamics. While the original intent of the first return path ...
• ([Bloomington, Ind.] : Indiana University, 1992-09)
This thesis concerns using computer graphics methods to visualize mathematical objects. Abstract mathematical concepts are extremely difficult to visualize, particularly when higher dimensions are involved; I therefore ...
• ([Bloomington, Ind.] : Indiana University, 2010-06-01)
This dissertation will discuss Koszul algebras and Koszul type Np property. It is a basic problem of homological algebra to compute cohomology algebras of various augmented algebras. One of main purpose is to find the ...
• ([Bloomington, Ind.] : Indiana University, 2010-06-01)
We demonstrate how one can improve the numerical solution of singularly perturbed problems involving multiple boundary layers by using a combination of analytic and numerical tools. Incorporating the so-called boundary ...
• ([Bloomington, Ind.] : Indiana University, 2013-05-15)
My dissertation researches on properties of iterations $f^n=f\circ f\circ \ldots \circ f$ ($n$ times) of a selfmap $f:X\rightarrow X$. Here $X$ is a compact K\"ahler manifold and $f$ is a dominant meromorphic map. ...
• ([Bloomington, Ind.] : Indiana University, 2013-06)
My dissertation concerns the proper foundation for the intuitionistic mathematics whose development began with L.E.J. Brouwer's work in the first half of the 20th Century. It is taken for granted by most philosophers, ...
• ([Bloomington, Ind.] : Indiana University, 2010-05-24)
This text first looks at sequences of discrete-indexed random fields. When these random fields satisfy certain linear dependence conditions uniformly, each will have a spectral density function (not necessarily continuous) ...
• ([Bloomington, Ind.] : Indiana University, 2010-12-13)
The main subject of this dissertation is to approach the question of countable canonicity of varieties of modal algebras from a topological and categorical point of view. The category of coalgebras of the Vietoris functor ...