Digital Commons Network^™

The Pure Yang-Mills Field, \, Iia: The Axioms, James Glimm

Department of Applied Mathematics & Statistics Faculty Publications

A previously constructed pure Yang-Mills quantum gauge field theory is shown to satisfy all Osterwalder Schrader axioms.

Non-Smooth Solutions Of The Navier-Stokes Equation And Their Means, James Glimm, Jarret Petrillo

Department of Applied Mathematics & Statistics Faculty Publications

Non-smooth (finite time blowup) Leray-Hopf solutions of the incompressible Navier-Stokes equation are constructed. The initial data for blowup is characterized by nonzero energy related turbulent fluctuations. The construction occurs in a finite periodic cube T3. The mean value of a weak solution of the Navier-Stokes equation is identified as a smooth solution of the Navier-Stokes equation.

Scaling Laws, James Glimm

Department of Applied Mathematics & Statistics Faculty Publications

Scaling laws, accurate to all orders and for intermediate times, are constructed for Navier-Stokes and Euler fluids and for quantum Yang-Mills fields. A maximum entropy principle is assumed. A finite periodic spatial volume is assumed.

Conventional renormalization group scaling is accurate to all orders in a large time asymptotic limit, but it fails at intermediate times at less than leading order due to blowups and a possible resetting of the gauge group.

The extension to quantum general relativity is indicated.

The Pure Yang-Mills Field: Repeated Blowups, James Glimm, James G. Glimm

Department of Applied Mathematics & Statistics Faculty Publications

The temporal scaling of the quantum Yang-Mills solution is characterized by analytic solutions for a limited time interval, each ended by a discontinuity (blowup).

For general initial conditions, there will be a series of blowups and a possible resetting of the gauge group..

The principle of a maximum rate of entropy production is assumed. A finite periodic spatial volume is assumed.

The Boson Yang-Mills Field: The Loop Expansion, James Glimm

Department of Applied Mathematics & Statistics Faculty Publications

This paper demonstrates convergence of the loop expansion for Yang-Mills fields.

The loop construction of perturbation theory is based on the axial gauge, ghost states, the BRST framework and the Gribov extension of the Hamiltonian, with the loop expansion perturbatively renormalizable.

The construction is established by renormalized perturbation theory convergent to all finite orders.

Two distinct Yang-Mills theories are constructed, one based on short distance asymptotics and the other based on long distance asymptotics.

The construction depends on an assumed principle of a maximum rate of entropy production.

The paper has sufficient generality to include existence for all cases that …

The Pure Yang-Mills Field: Axioms And The Mass Gap, James Glimm

Department of Applied Mathematics & Statistics Faculty Publications

The infinite volume limit is constructed based on previously constructed finite volume pure Yang-Mills quantum gauge field theories. For this limit theory, Osterwalder-Schrader axioms are verified and the existence of a mass gap in the energy spectrum is proven.

Requirements for the Millennium Yang-Mills prize are fulfilled.

Prevention Beyond Deterrence, Benjamin A. Barsky

Faculty Scholarship

This Article reconceptualizes preventive justice—the public safety paradigm that seeks to prevent harm before it occurs. Scholars have long documented how cities have advanced this paradigm through largely punitive measures, notably variants of broken windows policing, which posit that aggressive misdemeanor enforcement deters more serious crime. Yet in the aftermath of the 2020 George Floyd protests, and as underscored recently in City of Grants Pass v. Johnson, these measures have faced a legitimacy crisis—prompting calls for nonpunitive responses to nonviolent incidents.

This Article establishes a preventive justice approach that advances health and safety without emphasizing crime deterrence. It draws on …

An Empirical Framework For Evaluating Semantic Preservation Using Hugging Face, Nan Jia, Anita Raja, Raffi Khatchadourian

Publications and Research

As machine learning (ML) becomes an integral part of high-autonomy systems, it is critical to ensure the trustworthiness of learning-enabled software systems (LESS). Yet, the nondeterministic and run-time-defined semantics of ML complicate traditional software refactoring. We define semantic preservation in LESS as the property that optimizations of intelligent components do not alter the system's overall functional behavior. This paper introduces an empirical framework to evaluate semantic preservation in LESS by mining model evolution data from HuggingFace. We extract commit histories, $\textit{Model Cards}$, and performance metrics from a large number of models. To establish baselines, we conducted case studies in three …

Color-Blind Resilience: How Uniform Climate Standards Reproduce Environmental Inequality In The Rockaways, Aaryan M. Nair

Publications and Research

This paper examines how ostensibly uniform climate resilience standards can reproduce environmental inequality in socially uneven landscapes, using the Rockaway Peninsula in New York City as a critical case study. While flood-resistant building codes, zoning regulations, and insurance frameworks are designed to provide equal protection across flood-prone areas, this analysis argues that their “color-blind” application obscures and intensifies underlying disparities in financial capacity, housing conditions, and tenure. Drawing on environmental justice (EJ) theory, the paper identifies two key mechanisms through which inequality is reproduced. First, “code without capacity” demonstrates how uniform technical standards—such as elevation requirements under NYC Building Code …

Resilience For Whom? A Study In Pathways And Production Of Unequal Risk In The Rockaways, Aaryan M. Nair

Publications and Research

This paper investigates how climate adaptation policies in the Rockaway Peninsula of New York City produce unequal outcomes despite their ostensibly neutral design, framing resilience as an environmental and climate justice problem. Situated within a landscape marked by stark socioeconomic disparities, aging housing stock, and high exposure to coastal flooding, the study demonstrates that existing adaptation strategies—centered on uniform technical standards, insurance frameworks, and large-scale coastal infrastructure—systematically advantage actors with greater financial and institutional capacity while leaving low-income residents, particularly renters, disproportionately vulnerable.

The analysis identifies three core dynamics underlying this “unequal-by-design” resilience regime: (1) the stratified feasibility of compliance …

All Games Have Equilibria, M. Ali Khan, Arthur Paul Pedersen, Maxwell B. Stinchcombe

Publications and Research

Research on Nash equilibrium existence for infinite games has grown into a patchwork of technical preconditions and counterexamples. This paper presents a unified program in equilibrium theory by revising the predominant model of mixed strategies based on countable additivity. A game is specified by a nonempty set of players and, for each player, a nonempty action set and a bounded von Neumann-Morgenstern utility function. Every such game is shown to admit a Nash equilibrium in finitely additive mixed strategies. In addition, the equilibrium correspondence for any such game is shown to be nonempty, compact-valued, and upper hemicontinuous, and the same …

Case Series Of Nizon-Isidor Syndrome By Heterozygous Variants In Med12l With Further Evidence Of Mitotic Instability In One Case With Diploid-Triploid Mosaicism, Russell Stewart, Kimberly M Ezell, Deanna S Bell, Brian Corner, Ashley Mcminn, Joy D Cogan, Rizwan Hamid, Lynette Rives, John A Phillips, Nina Paddu, Gitanjali Srivastava, Ronit Marom, Farah A Ladha, Claudia Soler-Alfonso, Rachel Franciskovich, Mary Koziura, Sumit Pruthi, Gabriele Richard, Christina B Sheedy, Undiagnosed Diseases Network, Thomas Cassini

Faculty, Staff and Students Publications

Nizon-Isidor syndrome is a rare disorder caused by heterozygous variants in MED12L, with only eight documented cases in the literature. Here, we present three additional cases of this syndrome. Proband 1 was a 7-year-old female who presented with developmental delay, right-leg hemihypertrophy, laryngeal cleft, esotropia, abnormal skin pigmentation, sectoral iris hypopigmentation, dysphagia, periventricular nodular heterotopia, seizures, morbid obesity, and a pelvic kidney. Genome sequencing (GS) revealed a MED12L variant, NM_053002.5:c.3559+2T>G. Both computational models and transcriptomic analysis confirmed that this variant induced splice loss of MED12L exon 25. Probands 2 and 3 presented with overlapping phenotypes of developmental delay; sequencing …

Aerocom: Winter 2026, John D. Odegard School Of Aerospace Sciences

Aerocom: John D. Odegard School of Aerospace Sciences Alumni Magazine

No abstract provided.

"Just Let Your Soul Glo": Humorous Music In Black American Comedy Films, Drew Brady

Music Theses and Dissertations

In this thesis, I inspect ways in which music has been used to create humor and meaning in black American cinema. In doing so, I address gaps in film music scholarship, as music in comedy films and in black cinema are both neglected topics. I suggest that humor in these films arises out of a particular blend of musical irony, parody, and satire, the exact combination of which is contingent on various historical, cultural, and political factors. In order to track this trend, I analyze humorous music in eight films, each representing a unique manifestation of this tradition: Watermelon Man …

The Gender Binary And Its Effects On Athletes And Society At Large As Described In Newspaper Accounts Of Competitors In The Summer 2024 Olympics, Neo Zheng

Honors College Theses

The purpose of this paper is to look at the impact of gendered language and gender rhetoric on the continued social maintenance of gender, especially as it relates to athletes. This project focuses on the patterns that arise in language of news articles on two female athletes participating in the 2024 Paris Olympics who are accused of being transgender or male, shedding light on how media outlets talk about the topic of gender in athletes specifically, and society itself more generally.

Till Death Does Us Part: An Analysis Of Influences And Ideas Behind The Exhibition, Milo F. Rippe

Honors College Theses

“Till Death Does Us Part,” is a ceramic work created by Milo Rippe in the fall of 2025. The installation includes fifteen faceless figures, ten organ-inspired plates, and one big central figure. Also featured are three homemade stains and two homemade glazes. The figures are hand-built from slabs, combined to form a single piece. The plates were also cut from slabs, and then hand-rolled rims were added to each shape with slip. Stains and glazes are made by methodically measuring out each ingredient on a triple-beam scale, combining all ingredients with water, and running the mixture through a strainer to …

Undergraduate Voice Students’ Understanding Of The Vocalize And Its Purpose, Natalie H. Bazemore

Honors College Theses

This research discusses undergraduate voice students' understanding of vocalizes and their purpose. To discuss this subject, a vocalize has been defined along with its purpose analyzed. By discovering what methods voice teachers are using to prescribe vocalizes tells us how they are educating their singers on developing technical singing skills. This research was collected through a survey conducted in Qualtrics and was shared via social media voice teacher forums and collegiate music settings. This 5-10 minute long survey included participants that are either undergraduate voice students or undergraduate voice teachers. The teachers and students completed different surveys, both asking about …

What Is The Evolving Role Of Nurses In Telehealth As Future Healthcare Professionals?, Emma G. Lowry

Honors College Theses

Telehealth has evolved into an essential component of healthcare delivery in today's world, something that occurred alongside the COVID-19 pandemic. As healthcare professionals, nurses must be adequately prepared and equipped to use the tools for telehealth. This paper examines the evolving role of nurses in telehealth by assessing undergraduate nursing students’ and practicing nurses’ knowledge, attitudes, and perceived competencies. Data will be collected through a Qualtrics survey utilizing the Awareness, Knowledge, Attitude, and Skills (AKAS) Scale for Telemedicine, supplemented by interviews with telehealth practitioners to provide qualitative context. It is expected that variations in proficiency and attitudes, from previous biased …

Short Time, Lasting Impact: Teaching Pediatric End-Of-Life Care In One Day, Mckenzie Taliaferro

Honors College Theses

Background: Pediatric nurses working in specialties that experience terminal diagnoses, death, and post-mortem care, often feel unprepared for the emotional toll and lack adequate support systems (Camera et al., 2024). Nurses report feeling under prepared due to a lack of hands-on opportunities before graduation (Richoux, et al., 2022). Pediatric death is a traumatic experience for families and nurses. Previous studies have shown that hands-on education increases nurses' confidence in caring for patients at the end of their lives (Cole & Foito, 2019; Noyes et al., 2023). Method: A one-day, hands-on multidisciplinary workshop on pediatric end-of-life (EOL) was created and offered …

Development Of Tunable Rose Bengal Based-Nanogumbos As Potential Selective Chemotherapeutic Agents, William J.A. Russell

Honors College Theses

As cancer remains one of the greatest threats to the global population, the development of chemotherapeutic agents that are selective and tunable is of critical importance. Herein, a series of Rose Bengal (RB)-based GUMBOS, a group of uniform materials based on organic salts, were synthesized via counterion exchange between [Na]₂[RB] and three organic cations: tetrabutylphosphonium bromide [TBP][Br], tetraphenylphosphonium chloride [TPP][Cl], and 1-dodecyl-3-methylimidazolium chloride [C₁₂MIm][Cl]. The resulting GUMBOS were characterized through FT-IR, ESI-MS, NMR, and UV-Vis Spectroscopy. Partition coefficient studies indicated all GUMBOS exhibited hydrophobic physiochemical characteristics. These hydrophobic RB-based GUMBOS …

Effects Of Dietary Perfluorobutane Sulfonate (Pfbs) On Adipose Tissue, Hannah Olofintuyi, Eric Gato

Honors College Theses

Per- and polyfluoroalkyl substances (PFAS) are chemical substances used in a variety of industrial applications and consumer products. Perfluorobutane sulfonate (PFBS) is often used as a replacement for the more harmful (Perfluoroalkyl sulfonate) PFAS chemicals that have been around longer. It is believed that PFBS does not remain in the body as long as other PFAS compounds; however, there is a rising concern that it has the potential to cause damage to human health. This study focused on understanding how dietary PFBS exposure affects metabolism-related processes in adipose tissues in rats. To accomplish study objectives, Sprague Dawley rats were exposed …

From The Classroom To The Workplace: The Role Of Internships In Shaping Student Values, Jasmine Williams

Honors College Theses

A significant degree of research on workplace values has been conducted to better understand how employees are motivated in the hopes of reducing turnover. There also exists a significant body of literature on how internships impact career outcome and can effectively prepare students for the workforce. However, previous studies have not explored the differences between students who have completed internships in comparison to those who have not. The goal of this research is to determine whether internships create a significant impact on students’ workplace values (e.g. intrinsic, extrinsic, altruistic, and social) when compared to students who have not completed an …

The Open Secret: Drugs And Fishing In Georgia, Makala L. Collins

Honors College Theses

Substance use and overdose deaths have been disproportionally disrupting families and communities in rural America. Increasing rates of drug use in these areas can be traced to the outsourcing of blue-collar work to outside of the United States, which economically restructured these areas by decreasing the profitability of generational industries. This is the story playing out in Georgia’s commercial shrimping industry and the communities it used to support. This research uses qualitative data collected over the past ten years to understand the perceptions and impacts of drug use on Georgia’s shrimping community. Using a lens of critical medical anthropology, environmental …

Validity Assessment Of Resting Heart Rate Variability From The Garmin Health Snapshot, Kayla M. Porter, Andrew Flatt

Honors College Theses

Purpose: To assess the agreement between the Garmin Forerunner 265 (a commercially available sports watch) and a single-channel electrocardiographic (ECG) chest strap for determining resting heart rate variability (HRV). Secondary aims were to assess the impact of skin tone and body position on measurement accuracy.

Methods: Young adults (n = 30, 57% women) aged 18–39 years without known cardiovascular conditions and without tattooing or scarring on the dorsal left wrist were recruited. HRV was recorded simultaneously using ECG and the Forerunner 265’s optical sensor during Garmin’s 2-minute “Health Snapshot.” Measurements were obtained in three standardized positions: supine, seated, and standing. …

"Sing It Again": Linguistic Medievalisms In Geoffrey Hill And Seamus Heaney, Christian Cotten-Dixon

Honors College Theses

This study examines the use of early medieval structure and language in the poetry of Seamus Heaney and Geoffrey Hill, focusing on their near-contemporary collections, North and Mercian Hymns. Both collections use etymological and poetic structures to fashion an imagined medieval past in order to discuss personal and cultural narratives of history. Leveraging these structures in poetry and digging them out of past strata like a material artifact, Heaney and Hill collapse linear systems of time and language and access past word forms even as they evolve. This archaeological approach to poetry gives them the means to place the …

The Sting Of The Women Airforce Service Pilots: The Fight For Militarization And Recognition, Cassandra Cates

Honors College Theses

The Women Airforce Service Pilots, commonly known as the WASPs, were the first women to fly military planes for the United States. Serving during World War II, the main goal of the WASPs was to relieve the men flying planes domestically, so the men could serve overseas. But despite their dedicated wartime service, negative press and an unfavorable Congressional investigation prevented the WASPs from being fully recognized in 1944, and consequently militarized. Once they were disbanded near war’s end, the WASPs returned to civilian life. Not until the 1970s did the WASPs start to speak out about their service and …

Perception Of Bsn Nursing Students On Theory-Practice Gap, Emmalyn G. Siclare

Honors College Theses

Nursing students obtain valuable experience and are greatly influenced by their clinical experience in nursing school. The continuity and translation of lecture content learned in nursing school to the clinical part of nursing school is known as the theory-practice gap, and it is a vital part of nursing students’ education that is suffering. A perceivable theory-practice gap has a profound effect on students’ readiness for entering the nursing profession. This study examines how the theory-practice gap is understood by Bachelor of Science in Nursing students, and solutions for how it can be remedied. A descriptive qualitative study was conducted to …

Exploring Academic Burnout In Georgia Southern University Nursing Students, Gwyneth A. Green

Honors College Theses

This project aims to explore the burnout that nursing students experience while going through nursing school. There are plenty of stressors that affect nursing students and their performance in the classroom, so the goal is to identify these stressors and find ways to cope with them to improve classroom performance and decrease the number of students who quit while in school. Finding ways to make nursing school a better experience overall will help improve the outcomes coming out of school and starting to work. A survey was given to research multiple cohorts in the Georgia Southern University Nursing program to …

Rydberg Atom Arrays For Electric Field Sensing, James P. Hamilton

Honors College Theses

Rydberg atoms, hydrogen-like atoms that can be excited to states of high principal quantum number that carry correspondingly large electric dipole moments, have become leading candidates for precision electric field sensing. Arrays of such atoms, each trapped in a focused laser beam called an “optical tweezer,” are a particularly promising platform, since the strong dipole-dipole interactions between neighboring atoms provide a resource unavailable in a single-atom sensor. This thesis develops a theoretical and numerical framework for electric field measurement in small Rydberg atom arrays. We begin with a two-level model of a single atom, derive the Hamiltonian and equations of …

Working Mule Or Sacrificial Lamb: Examining Agrarian Backlash And Populism In Rural Europe, Ava Elaine Rumsey

Honors College Theses

This thesis examines to what extent populism has become a political force across rural and agrarian communities in the European Union from 2023 to 2026. It distinguishes between ‘structural’ shifts, meaning the broader transformations in agrarian political economy, and ‘policy’ shifts, meaning the cumulative impact of Common Agricultural Policy (CAP) reform, notably its welfarist and regulatory priorities. This study draws on two types of evidence. First, it pulls from a wide range of secondary sources on the CAP and agrarian political transformation. Second, it analyzes the position papers, statements, and digital media of three organizations that represent important farming constituencies …