• Weyl-Heisenberg Wavelet Expansions: Existence and Stability in Weighted Spaces 

  Walnut, David Francis (1989)

  The theory of wavelets can be used to obtain expansions of vectors in certain spaces. These expansions are like Fourier series in that each vector can be written in terms of a fixed collection of vectors in the Banach ...

• Sonic Limit Singularities in the Hodograph Method 

  Schot, Steven H. (1958)

  In the hodograph transformation, introduced to linerize the equations governing the two-dimensional inviscid potential flow of a compressible fluid, there may appear so-called limit-points and limit-lines at which the ...

• Developments in Lagrangian Data Assimilation and Coupled Data Assimilation to Support Earth System Model Initialization 

  Sun, Luyu (2019)

  The air-sea interface is one of the most physically active interfaces of the Earth's environments and significantly impacts the dynamics in both the atmosphere and ocean. In this doctoral dissertation, developments are ...

• Topics in Stochastic Optimization 

  Sun, Guowei N/A (2019)

  In this thesis, we work with three topics in stochastic optimization: ranking and selection (R&S), multi-armed bandits (MAB) and stochastic kriging (SK). For R&S, we first consider the problem of making inferences about ...

• Moduli Spaces of Sheaves on Hirzebruch Orbifolds 

  Wang, Weikun (2019)

  We provide a stacky fan description of the total space of certain split vector bundles, as well as their projectivization, over toric Deligne-Mumford stacks. We then specialize to the case of Hirzebruch orbifold ...

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