# Browse Dissertations and Theses - Mathematics by Title

• (1967)

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• (1977)

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• (1963)

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• (1984)
Let [Special characters omitted.] be a stochastic sequence and let [Special characters omitted.] be a predictable sequence. Define S(,n) for each n by S(,n) = X(,0) + X(,1)V(,1) + ... + V(,n)X(,n). Let [Special characters ...

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• (2008)
The Friendship Theorem states that if G is a graph in which every two vertices have exactly one common neighbor, then G has a dominating vertex. Sos defined an analogous friendship property for 3-uniform hypergraphs, and ...

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• (1955)

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• (1969)

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• (1999)
In Chapter 1 a Lefschetz-type coincidence theorem for two maps from an arbitrary topological space to a manifold is given: the coincidence index is equal to the Lefschetz number. It follows that if the Lefschetz number of ...

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• (2009)
A folded symplectic form on an even-dimensional manifold is a closed two-form that degenerates in a suitably controlled way along a smooth hypersurface. When a torus having half the dimension of the manifold acts in a way ...

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• (1996)
With regards to certain complete Riemannian manifolds we show that the analytic assembly map is rationally injective by using the exotic index theorem. The foliation exotic index theorem of S. Hurder is an extension of the ...

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• (2012-09-18)
We study problems in extremal combinatorics with respect to forbidden induced subgraphs, forbidden colored subgraphs, and forbidden subgraphs. In Chapter 2, we determine exactly which graphs H have the property that ...

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• (1970)

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• (2008)
The theory of modular forms, as it has been developed over the past several decades, has highlighted deep connections between the areas of analytic and algebraic number theory and arithmetic geometry. In this thesis we ...

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• (1976)

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• (2018-05-29)
In Part I, we study the spectrum of the one-dimensional vibrating free rod equation u′′′′ − τ u′′ = μu under tension (τ > 0) or compression (τ < 0). The eigenvalues μ as functions of the tension/compression parameter τ ...

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• (2007)
We also prove a theorem, in the setting of continuous model theory, that is a generalization of a theorem of H. D. Macpherson about the automorphism groups of o-categorical structures.

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• (1979)

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• (1995)
In the representation theory of semisimple algebraic groups in positive characteristic, the induced line bundles, ${\cal L}$($\lambda$), on the flag variety G/B, are important objects of study. E.g., their global sections ...

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• (1976)

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• (2001)
The second part of the thesis is focussed on developing an explicit arithmetic for the Jacobian of certain cubic superelliptic curves. We restrict our attention to curves of the form y3 = f( x). Assuming that f(x) is monic ...

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