This dissertation proves several results for first passage percolation on graphs of polynomial growth.The class of limit shapes for first passage percolation with stationary weights on Cayley
graphs of virtually nilpotent groups is characterized.
Then strict monotonicity theorems for independent first passage percolation on graphs of
polynomial growth and quasi-trees...
Herein, we present an overview of our studies of the morphology, dynamics, and formation of heterogeneous soft matter systems via the emerging technique of liquid phase transmission electron microscopy (LPTEM). This particular subset of materials, more commonly referred to as emulsions, is tremendously commercially and biologically relevant, encompassing applications in...
Conversation is an important part of human life. Given globalization and the numerous languages around the world, it is increasingly likely that we will be communicating with others speaking in their second language (L2) rather than their first language (L1). In these situations, communication may require more effort. However, people...
Transnational adoption from Asia to the U.S. was institutionalized in the 1950s, when the Korean War left an estimated 100,000 Korean children orphaned or displaced. At the time, the practice was situated as a form of emergency rescue, an act of win-win humanitarianism in which average Americans could take part...
Transcription plays a pivotal role in the transfer of genetic information within living organisms. It serves as the initial step in gene expression, allowing cells to convert the instructions encoded in their DNA into functional molecules. Eukaryotic transcription initiation is a complex and dynamic process that requires joint efforts from...
Gastrointestinal (GI) colonization by Klebsiella pneumoniae is a risk factor for subsequent infection as well as transmission to other patients. Additionally, colonization is achieved by many strain types that exhibit high diversity in genetic content. However, how K. pneumoniae achieves colonization and whether the genetic factors it uses differ by...
Mission-critical systems are those imperative systems whose failures can result in catastrophic consequences. Traditional techniques, such as manual investigation and testing, cannot ensure the absence of errors and security vulnerabilities within these systems. This dissertation leverages formal methods to comprehensively examine several mission-critical systems and their essential components. For each...
The advent of advanced computing and AI has led to social technologies becoming agentic teammates in human-autonomy teams. Interpersonal trust, vital for team functioning, is crucial in determining these teams' success or failure. Trust, while essential, can be easily broken and requires maintenance and repair. This dissertation addresses two questions:...
Breast cancer patients have reported nonspecific neurologic symptoms such as fatigue, depression, and cognitive concerns while undergoing adjuvant therapy. Few neuroimaging studies have examined hormone therapy, an adjuvant therapy, and more research is needed to determine possible neurologic and cognitive effects. Previous estrogen research has found alterations in gray matter...
This dissertation uses the case of Colombia to examine the causes and reproductive mechanisms of civil wars that last more than fifty years, which I call perpetual civil wars. It draws on network analysis of violent events and political claims, content analysis of official archival documents and historical records of...