Search
Skip to Search Results- 7Frei, Christoph (Mathematical and Statistical Sciences)
- 7Kong, Linglong (Mathematical and Statistical Sciences)
- 7Lewis, Mark (Mathematical and Statistical Sciences)
- 6Han, Bin (Mathematical and Statistical Sciences)
- 6Hillen, Thomas (Mathematical and Statistical Sciences)
- 6Mizera, Ivan (Mathematical and Statistical Sciences)
-
Spring 2014
This thesis deals with the Trotter-Kato approximation in utility maximization. The Trotter-Kato approximation is a method to split a differential equation into two parts, which are then solved iteratively over small time intervals. In the context of utility maximization, this procedure was...
-
Spring 2014
Let G be a locally compact group. It is well-known that G^LUC, the spectrum of the algebra of left uniformly continuous functions on G, the so-called LUC-compactification of G, is a semigroup with product restricted from the Arens product on LUC(G)^*. Now consider the algebra of weighted left...
-
Theoretical and Computational Aspects of Mixture Models, with Applications to Empirical Bayes Methods
DownloadFall 2018
This thesis studies mixture models, in particular the estimation of mixing distributions and their applications to empirical Bayes prediction. The objectives are two-fold: to study the large-sample property of empirical Bayes estimators; to develop algorithms for the nonparametric estimation of...
-
Theory of Spectral Sequences of Exact Couples: Applications To Countably And Transfinitely Filtered Modules
DownloadFall 2013
This thesis has two parts. In the first part we start from an arbitrary exact couple of R-modules and describe completely how the E-infinity terms of the associated spectral sequence relate to adjacent filtration stages of the universal (co-)augmenting objects of the exact couple. This advances...
-
Fall 2017
In this thesis, we formulate and prove the theorem of quadratic reciprocity for an arbitrary number field. We follow Hecke and base our argument on analytic techniques and especially on an identity of theta functions called theta inversion. From this inversion formula and a limiting argument, we...
-
Fall 2017
In this thesis, some topics in convex geometric analysis and discrete tomography are studied. Firstly, let K be a convex body in the n-dimensional Euclidean space. Is K uniquely determined by its sections? There are classical results that explain what happens in the case of sections passing...
-
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...
-
Fall 2014
Persistent Homology broadly refers to tracking the topological features of a geometric object. This study aims to use persistent homology to explore the effect of Human Biotherapy on patients suffering from Clotridium Difficile Infection. The data is presented in the form of several distance...
-
Fall 2015
Let a locally compact semitopological semigroup S have a separately con- tinuous left action on a locally compact Hausdorff X. We define a jointly continuous left action of the measure algebra M(S) on the bounded Borel measure space M(X) which is an analogue of the convolution of measure alge-...