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Investigation on the Effect of Drillstring Stiffness on Downscaling Drillstring Vibrations
(2021-05-16)
Drillstring vibrations provide one of the most important challenges to drilling efficiency today. These vibrations can cause many issues such as decreased energy transfer from the to drive to the bit, fluctuating drilling ...
Diagrammatic Categories which arise from Directed Graphs
(2023-05-12)
There is a categorical equivalence between the Temperley--Lieb category $TL(2)$ and the full subcategory of $SU(2)$-\textbf{mod} with objects given by $V^{\otimes k}$ where $V$ is the tautological $SU(2)$-module and $k$ ...
On the Existence and Stability of Filiform Nilsolitons
(2022-08)
This dissertation is concerned with the existence and stability of nilsoliton metrics on filiform Lie algebras. The results are presented in two major components. First, we give new results which preclude the existence of ...
(Multi-)Persistent Homology and Topological Robotics
(2023-05-12)
After developing the relevant background and proving some general results in the early chapters, the main novel content of this thesis is the computation of the $i$-th homology groups of the second configuration spaces of ...
Securing Smart Home Iot Applications Via Wireless Traffic Analysis
(2022-12)
Householders have widely used IoT security systems with the development of smart home applications. Wireless security cameras are integral components of IoT security systems used by many private homes. These cameras commonly ...
LOCAL ESCAPE RATE DICHOTOMY FROM A PROBABILITY POINT OF VIEW
(2020-07-30)
We will discuss a dichotomy pertaining to escape rates in dynamical systems.
This dichotomy pertains to the limiting behavior of the escape rate as it is
compared to the size of a shrinking hole (the local escape rate). ...
Locally Finite Tree Actions for Groups of Dimension Two
(2022-12-16)
We investigate finitely generated groups of cohomological dimension 2 and certain actions on locally finite trees. Our setting includes examples of Daniel Wise, which possess two canonical splittings. We show that under ...