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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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Nonlinear Evolution of Localized Internal Gravity Wave Packets: Theory and Simulations with Rotation, Background Flow, and Anelastic Effects
DownloadFall 2023
A series of three studies investigates theoretically and numerically the evolution, stability, and pseudomomentum transport of fully localized three-dimensional internal gravity wave packets, as they self-interact nonlinearly with their induced mean flow. The first study considers a rotating,...
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Fall 2023
Many standard approaches for conducting statistical inference on regression parameters rely heavily on parametric assumptions and asymptotic results. The wild bootstrap (Mammen, 1993) was developed as a nonparametric means to estimate a sampling distribution and is particularly useful when...
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Spring 2019
Our main interest has to do with a conjecture of Nori, based on the weak Lefschetz theorem for Betti cohomology.We first prove Nori's conjecture under the assumption of the existence of a Bloch-Beilinson filtration.In the second part of my thesis, I re-prove a result of Paranjape on smooth...
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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 develop some new models and efficient algorithms for image denoising. The total variation model of Rudin, Osher, and Fatemi(ROF) for image denoising is considered to be one of the most successful deterministic denoising models. It exploits the non-smooth total variation (TV)...
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Numerical simulation of Ricci flow on a class of manifolds with non-essential minimal surfaces
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In the last three decades, the Ricci flow has proved to be an extremely useful tool in mathematics and physics. We explore numerically the long time existence of the Ricci-DeTurck flow and the List flow for a one-parameter family of Riemannian manifolds with non-essential minimal surfaces. This...
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Fall 2022
The Helmholtz equation is a fundamental wave propagation model in the time-harmonic setting, which appears in many applications such as electromagnetics, geophysics, and ocean acoustics. It is challenging and computationally expensive to solve due to (1) its highly oscillating solution and (2)...
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Fall 2013
A Gelfand theory for an arbitrary Banach algebra A is a pair (G;A), such that: A is a C-algebra and G : A ! A is an algebra homomorphism; G induces a bijection between the set of maximal modular left ideals of A and the set of maximal modular left ideals of A; and for every maximal modular left...