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Skip to Search Results- 477Department of Mathematical and Statistical Sciences
- 2Department of Biological Sciences
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- 7Frei, Christoph (Mathematical and Statistical Sciences)
- 7Hillen, Thomas (Mathematical and Statistical Sciences)
- 7Kong, Linglong (Mathematical and Statistical Sciences)
- 7Lewis, Mark (Mathematical and Statistical Sciences)
- 6Han, Bin (Mathematical and Statistical Sciences)
- 6Kashlak, Adam (Mathematical and Statistical Sciences)
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Spring 2016
This thesis is based on six papers.
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Spring 2014
Geometrical lattice equivalences are used to generate over 100 new quadratic identities involving classical modular forms, Jacobi theta functions, θ2, θ3, θ4, and the Dedekind eta function η. Generalizations are examined and a seemingly new observation on the nature of η is noted.
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Fall 2013
Given a conformal superalgebra A over an algebraically closed field k of characteristic zero, a twisted loop conformal superalgebra L based on A has a differential conformal superalgebra structure over the differential Laurent polynomial ring D. In this context, L is a Dm/D–form of A \otimes D...
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Spring 2015
Let $X/k$ be a smooth projective geometrically irreducible variety over a field $k$, and $\CH^r(X;\Q) := \CH^r(X)\otimes\Q$ the Chow group of codimension $r$ cycles, modulo rational equivalence. A long standing conjecture, due by S. Bloch and fortified by A. Beilinson, is the existence of a...
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Fall 2010
In this thesis, we discuss two separate topics from the theory of harmonic analysis on locally compact groups. The first topic revolves around the topological centers of module actions induced by unitary representations while the second one deals with the set of topologically invariant means...
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A simulation-based approach to assess the goodness of fit of Exponential Random Graph Models
DownloadFall 2010
Exponential Random Graph Models (ERGMs) have been developed for fitting social network data on both static and dynamic levels. However, the lack of large sample asymptotic properties makes it inadequate in assessing the goodness-of-fit of these ERGMs. Simulation-based goodness-of-fit plots were...
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Fall 2022
This thesis concerns dynamical systems subject to small noise perturbations. Our purpose is to obtain a deep understanding of how small noise perturbations influence the original unperturbed dynamical system, especially over long but finite time intervals. We consider two special systems, the...