# Browse Dissertations and Theses - Mathematics by Title

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• (1975)

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• (1974)

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• (1978)

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• (1974)

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• (2018-04-02)
In the first part of this thesis, we show that a wide range of the properties of the roots of translated Chebyshev polynomials of the first kind (call these complex numbers Chebyshev points), are illuminated by the study ...

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• (1963)

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• (1965)

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• (1994)
If X is a class of groups, the class of counter-X groups is defined to consist of all groups having no non-trivial X-quotients. Counter-counter-finite groups are studied here; any non-trivial quotient of such a group has ...

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• (1963)

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• (1964)

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• (1990)
Given a semisimple linear algebraic group G over an algebraically closed field K, we fix a Borel subgroup B and a maximal torus T. This determines a root system $\Phi$, and a set of simple roots $\Delta$. The subgroups ...

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• (1981)
This thesis presents a classification up to topological equivalence of those flows on the torus satisfying: (1) all singular points and closed orbits are hyperbolic; and (2) there are no saddle connections. Such flows are ...

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• (1972)

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• (2015-07-15)
Given a $G$-toric, folded-symplectic manifold with co-orientable folding hypersurface, we show that its orbit space is naturally a manifold with corners $W$ equipped with a smooth map $\psi: W \to \frak{g}^*$, where ...

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• (2018-07-09)
In this thesis, we study expansions of the real field by multiplicative subgroups of the complex numbers. We first consider expansions by a subgroup generated by an element of the unit circle and a positive real number. ...

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• (2014-09-16)
In the first part of this thesis, we study the application of a clearing mechanism of a financial network to a specific type of financial network, which is established upon an abstract underlying asset. In particular, we ...

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• (2009)
This work attempts to explain the relationships between natural selection, information theory, and statistical inference. In particular, a geometric formulation of information theory known as information geometry and its ...

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• (1976)

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• (2017-04-13)
This dissertation presents connections between cluster algebras and discrete integrable systems, especially T-systems and their specializations/generalizations. We give connections between the T-system or the octahedron ...

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