# Browse Dissertations and Theses - Mathematics by Title

• (1970)

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• (1961)

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• (2003)
We consider the problem of constructing an asymptotic representation of solutions for several classes of systems of linear difference equations with variable coefficients as well as determining the stability or instability ...

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• (1983)
In this thesis techniques for solving generalized systems of inequalities are developed. That is, given two real normed linear spaces X and Y, and a mapping g: X (--->) Y, iterative schemes are developed for the solution ...

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• (1994)
The metric entropy of a set is a measure of its size in terms of the minimal number of sets of diameter not exceeding 2$\varepsilon$ which cover the set. We calculate the asymptotic order of the metric entropy as $\varepsilon\ ... application/pdf PDF (1MB) • (2017-12-03) Given$\alpha>0$, the$\alpha$-Grushin plane is$\mathbb{R}^2$equipped with the sub-Riemannian metric generated by the vector fields$X = \partial_1$and$Y = |x_1|^{\alpha} \partial_2\$. It is a standard example in ...

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• (1960)

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• (1972)

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• (1988)
In this work, we consider minimal models of Riemannian foliations on connected, simply-connected manifolds following Lehmann. We show that if the minimal model has an underlying rational form of finite type, then it can ...

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• (2010-05-19)
This thesis is a study of the asymptotic behavior of minimal pseudo-Anosov translation lengths on the Teichmuller space. For tori with n marked points, we find an upper bound for the minimal pseudo-Anosov translation ...

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• (2008)
We begin by showing that minimal volume occurs if and only if the P is a lattice simplex (of dimension d ≠ 2) whose interior lattice points are collinear with a vertex of P. We then show that there can only be one such ...

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• (1967)

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• (2000)
In recent years, there has been interest in computing the mod- p (for p a prime) cohomology rings of finite groups and, in particular, the finite simple groups. Many of the mod-2 cohomology rings have been computed, but ...

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• (1970)

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• (2012-02-06)
This thesis presents a systematic study of the model theory of probability algebras, random variable structures, and adapted structures, with an emphasis on their atomless counterparts. In this thesis, the author uses ...

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• (2007)
In this thesis we deal with the model theory of differentially closed fields of characteristic zero with several commuting derivations. The questions we consider belong to the area of geometric stability theory. First we ...

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• (2008)
The general theme of this thesis is the model theory of fields expanded by multiplicative groups. We first consider a real closed field expanded by two subgroups of the positive part of that field. Then we investigate an ...

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• (2006)
Some classes of Nakano spaces are shown to be axiomatizable in continuous logic for metric structures. The theory of atomless Nakano spaces equipped with a modular having a fixed compact essential range is shown to admit ...

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• (2009)
A real-tree is a metric space X such that between any two points in X there is a unique arc, and that arc is a geodesic segment. This thesis shows that the class of pointed, complete real-trees is axiomatizable in a suitable ...

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• (2007)
In this thesis we investigate the model theoretic properties of valued difference fields, that is, valued fields equipped with a distinguished automorphism. We carry out this study in two different contexts depending on ...

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