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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)
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Spring 2011
The first part of the thesis studies invariant subspaces of strictly singular operators. By a celebrated result of Aronszajn and Smith, every compact operator has an invariant subspace. There are two classes of operators which are close to compact operators: strictly singular and finitely...
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Fall 2018
The Hodge conjecture can be formulated in terms of Algebraic Cycles Groups. That is, Hodge conjecture state that every Hodge class on X is algebraic. This tells us that is worthwhile to explore the complexity of the Algebraic Cycle Groups. On the other hand, it turns out that we can study...
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Fall 2011
We first find all the irreducible complex characters of the general linear group GL(2, Z/p^l Z) over the ring Z/p^l Z, where l is an integer >1 and p is an odd prime, and determine all the character values. Our methods rely on Clifford Theory and can be modified easily to get all the irreducible...
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Fall 2009
In this paper we find irreducible characters of G=SL(k,Z/p^nZ) where n >= 2, k=2,3 and, p is an odd prime. In the case k=2 we give a construction for every irreducible character of G without calculating the character values. Our method is based on finding a normal subgroup of G and applying...
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Fall 2013
In this thesis, I study irreducibility on Banach lattices. First, I study irreducible positive operators on Banach lattices. I develop a uniform approach to several comparison theorems of positive operators. I also use a comparison theorem to show that if one of the two semi-commuting positive...
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Spring 2010
This thesis develops an optimal interpolation method that takes daily precipitation values collected from weather stations and produces precipitation estimates on a grid. The method, called Hybrid 2.0, combines EOF-based linear interpolation with the nearest-station method. Gridded monthly...
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Fall 2013
The Kelvin-Helmholtz instability is the inertial destabilization of a parallel shear flow in a density stratified fluid under the influence of gravity. For example, this type of instability manifests itself as surface waves in the ocean when wind blows over the water surface. In this thesis we...