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An Introduction to Bernstein-Gel’fand-Gel’fand Correspondence
(2022-08-04)
This master's thesis serves as an introduction to the Bernstein-Gel'fand-Gel'fand correspondence first written in 1978. We shall cover some of the fundamental objects that the reader may not be familiar with, mainly tensor ...
Color Trades on Graphs
(2022-08-03)
Edge-colorings of graphs have a rich history and are widely studied. Trade spectra of
graphs are relatively new and ripe for study. The color-trade-spectrum of a graph G is defined
to be the set of all t for which there ...
Solvability and exact moment asymptotics for the interpolated stochastic heat and wave equation and the existence of an invariant measure for a special case.
(2022-08-05)
This thesis will consist of two main projects, Chapters 2 and 4, and a smaller project in Chapter 3. We will be studying a general space-time fractional stochastic partial differential equation in Chapters 2 and 3 and the ...
Parabolic-Elliptic Chemotaxis Models with Singular Sensitivity
(2022-07-25)
Chemotaxis describes the movement of biological cells or organisms in response to certain chemicals in their environments and occupies an essential role in coordinating cell movement in many biological circumstances such ...
The Slow-Coloring Game on Path Power Graphs
(2022-11-16)
The Slow-Coloring Game is a game played on a graph G by two players which we will refer to as Lister and Painter. In the ith round, Lister marks a nonempty subset M of V (G) of uncolored vertices as eligible to receive ...