Physical Sciences and Mathematics Commons^™

Pure Nash Equilibrium And Strong Nash Equilibrium Computation In Additive Aggregate Games, Jared Soundy, Mohammad T. Irfan, Hau Chan

Research & Publications

Aggregate games, first conceptualized by Nobel laureate Reinhard Selten in 1970, model the decision-making of interdependent agents where each agent’s utility depends on their own action and the aggregation of everyone’s actions. We consider computational questions on pure Nash equilibrium (PNE) and pure strong Nash equilibrium (SNE) for aggregate games. On the way, we define a new subclass of aggregate games we call additive aggregate games, which encompasses popular games like congestion games, anonymous games, Schelling games, etc. We show that PNE existence is NPcomplete for very simple cases of additive aggregate games. We devise an efficient aggregate-space algorithm for …

Investigating The Parameters Driving Black Hole-Galaxy Co-Evolution, Rachel Cleveland

University Scholar Projects

In this research project, we study supermassive black holes that reside in the center of galaxies. More specifically, we explore the self-regulatory nature of these black holes as well as their relationship with their host galaxies. Simulations are utilized to study these cosmic entities, as they allow us to investigate the implications of different physical mechanisms in galaxy evolution. We use Cosmology and Astrophysics with MachinE Learning Simulations (CAMELS) to identify the astrophysical parameters that drive the black hole-galaxy coevolution. Building on our earlier results based on the SIMBA simulation, which established broad correlations with black hole and stellar mass, …

Under Pressure: A Quantitative Approach To Measuring Clutch Performance In The Nba, Jack Dell'isola

Honors Projects in Information Systems and Analytics

This research investigates the existence and relevance of clutch performance in the 2023-2024 NBA regular season. Players are analyzed both individually and against league averages to determine their clutch performance levels using an original "clutch score formula". This research aims to answer the questions of whether clutch performance is a real phenomenon, how individual player performance is affected in clutch time, and to determine a formula that can effectively predict the winner of the Clutch Player of the Year Award. The findings and formulas developed in this research help to shed light on the complexities of clutch performance, which has …

Intercellular Stress Generation During 1d Collective Migration Of Cancer Cells, Logan Waddle

Physics Undergraduate Honors Theses

Physical forces drive many cellular processes such as migration and proliferation. A metastatic tumor will have invasive strands/chains that extend from the main tumor. These chains of cells collectively migrate away from the main tumor to establish new colonies elsewhere in the body. However, how physical forces drive this collective invasion and the required energy for this process is not well understood. Invasion of a metastatic tumor to surrounding tissues leads to a majority of cancer-associated death and is often a collective effort among cells, it is therefore important to fully understand the process behind collective cancer invasion.

The goal …

Large Mammal Herbivores As Gardeners Of Tropical Forest Ecosystems, Kathryn Garner

Student Scholarship

Ecosystems worldwide are experiencing changes in structure and function as populations of fauna decline and experience local extinctions (Torres-Romero et al. 2020). Due primarily to their body size, large mammal herbivores (LMHs) are disproportionately prone to extinction from human activities such as agricultural expansion, deforestation, and anthropogenic climate change (Pringle et al. 2023). Additionally, as the number of domesticated LMHs (i.e. cattle, pigs, etc.) continue to increase in both density and distribution, their wild counterparts are continually displaced, resulting in increased competition for resources and an increased risk of disease transmission between domestic to wild species (Pringle et al. 2023; …

Tunable Optical Beam Focusing Using Static Water Droplets On An Electrospun Polymer Fiber, Marco Laurence M. Budlayan, Dina C. Palangyos, Jonathan N. Patricio, Susan D. Arco, Raphael A. Guerrero

Physics Faculty Publications

This work explores the use of static water microdroplets on a microfiber to vary the width of an optical beam. Varying the water droplet volume changes the beam width without replacing any optical components. A surface derived from glass deposited with polyvinyl chloride (PVC) microfibers via electrospinning was used to sustain the droplet shape on the surface. Scanning electron microscopy revealed the presence of randomly intertwined microfibers with diameters of less than 3 µm which afforded the surface a hydrophobic property. A decrease in the optical transmittance of the films and an increase in the water contact angle were also …

Examining Sustainable And Regenerative Viticultural Practices In The Rheinhessen Wine Region Of Germany, Claire Hoffmann

CISLA Senior Integrative Projects

No abstract provided.

Survey Of A Paired Gravity Anomaly Within The Benton Uplift Of The Ouachita Mountains, Isaac B. Prud'homme

Physics Undergraduate Honors Theses

The Benton Uplift west of Hot Springs, AR is underlain by a paired gravity anomaly on the order of 80 mGal. Nicholas & Rozendal (1975) have theorized that the gravitational low is caused by a “downwarp of the crust into the mantle”1 however the cause of the gravitational high is still debated. This paired gravity anomaly within the Benton Uplift follows the Ouachita orogenic belt southwest for 500 miles where it meets the Marathon uplift in southwest Texas. We conducted a gravity survey along a 108-km-long transect east of two previous gravity surveys.2,3 We corrected the data from this transect …

Environmental And Societal Impacts Of Agricultural Land Abandonment In Indonesia: A Bibliometric Review, Jane A. Landrum

Geosciences Undergraduate Honors Theses

In the past decades, Southeast Asia has faced one of the highest urbanization rates globally, with land conversion, agricultural land abandonment, and deforestation occurring simultaneously. High population growth rates and migration away from rural areas have also led to increased food insecurity, which has increased the need for agricultural production. In Indonesia, high rates of urbanization on the island of Java have historically prompted governmental policy solutions aimed at population redistribution and agricultural extensification (rather than intensification). The cost of this conversion of lands to agriculture often falls on the environment, with peatlands and forested lands being converted to large-scale …

Assessing Biochar And Industrial Hemp To Remediate Heavy-Metal-Contaminated Soil, Sophie W. Sward

Crop, Soil and Environmental Sciences Undergraduate Honors Theses

Environmental degradation is becoming increasingly prevalent as global industrialization runs rampant. Anthropogenic activity, such as mining, deposits inorganic pollutants into the environment, leading to potential soil and water contamination. Traditional, engineering-based remediation and containment procedures alter soil structure and aggregate stability and affect the biological function of the area impacted by mining activities. Phytoremediation is a more energy-efficient, and therefore cost-effective, method of environmental restoration. Phytoremediation, on its own, works in soils that are less contaminated so that the selected plant can actually grow. Soil amendments, such as biochar, can be added to improve remediation potential in more contaminated soils. …

Development Of A Mechanochemical Synthesis For A Palladacycle: Exploring Solvent Characteristics And Reaction Kinetics, Kyle Lintzenich

Honors College Theses

Palladacycles are a class of palladium complexes that show utility in catalyzing carbon-carbon cross coupling reactions. Mechanochemistry provides a greener alternative to synthesizing these palladacycles via repeated impacts that transfer mechanical energy into the reaction mixture, promoting formation of the desired complex. Specifically, liquid assisted grinding (LAG) has proven to be a viable tradeoff to neat mechanosynthesis of adding a small amount of liquid to decrease synthesis times or improve conversion. Some liquids actively participate in the reaction in a process termed as non-innocent LAG. This work focuses on the development of a mechanosynthetic method using non-innocent LAG for a …

Variable Selection In Mixture Cure Models Using Elastic Net Penalty: Application To Covid-19 Data, Aluwani Ramalata, Akim Adekpedjou, Maseka Lesaoana

Mathematics and Statistics Faculty Research & Creative Works

In survival analysis, it is often assumed that all individuals will eventually experience the event of interest if followed long enough. However, in many real-world scenarios, a subset of individuals remains event-free indefinitely. For instance, in clinical studies, some patients never relapse and are considered cured rather than censored. Traditional survival models are inadequate for capturing this heterogeneity. Mixture cure models address this limitation by distinguishing between cured and susceptible individuals while modeling the survival of the latter. A key challenge in mixture cure modeling is selecting relevant covariates, particularly when dealing with time-varying effects. This study develops a penalized …

The Mechanics Of Angular Momentum Generation In Discus Throwing, Andreas Maheras

Track and Field Faculty Publications

Angular momentum development in the back of the ring, during the first double and first single support, is of paramount importance in discus throwing because this is where almost all the angular momentum the thrower can generate will be generated. From a purely mechanical point of view, to achieve that, the thrower should keep her arms spread apart, and also actively throw both the right leg and the left arm and shoulders CCW. Those actions will collectively contribute in slowing down the lower body, as the thrower actively chooses to pass as much angular momentum to the upper body at …

A Hierarchical Soft Computational Model For Optimizing Agricultural Uavs: Recruiting Neutrosophic Theory And Tree Soft Sets, Mona Mohamed, Nurhan Alaa, Bilal Arain, Karam M. Sallam

Neutrosophic Systems with Applications

Precision agriculture is being transformed by Unmanned Aerial Vehicles (UAVs), which make it possible for yield optimization, targeted spraying, and sophisticated crop monitoring. With an emphasis on their operational capabilities, economic feasibility, and environmental implications, this research explores the revolutionary potential of UAV technology in contemporary farming systems. Practically speaking, the procedure of opting UAVs for agricultural applications is complicated by several competing aspects, inherent uncertainties, and differing stakeholder agendas. This paper suggests a new hybrid decision framework that combines Tree Soft Sets (TrSS), Neutrosophic theory, and Multi-Criteria Decision-Making (MCDM) to methodically handle these issues. Hence, the robust hybrid model …

Towards Explainable And Robust Nlp: Neutrosophic Probability Augmentation In Text Classification, Nabil M. Abdel-Aziz, Mahmoud Ibrahim, Khalid A. Eldrandaly

Neutrosophic Systems with Applications

The rapid growth of textual data necessitates advanced text classification models. However, traditional methods struggle with ambiguity and uncertainty in natural language, reducing classification reliability. To address this, we integrate neutrosophic logic, which explicitly models truth, indeterminacy, and falsity, into a DistilBERT-based text classification framework. Additionally, we employ data augmentation using synonym replacement to enhance generalization. Our approach is evaluated on the AG News dataset, classifying articles into four categories: World, Sports, Business, and Science/Technology. By incorporating neutrosophic attributes, the proposed framework assesses text quality, mitigates uncertainty, and improves robustness against ambiguous inputs. Experimental results demonstrate an accuracy of 94.10%, …

Some Interpolation Problems In The Projective Plane, Lilah Estes

Mathematical Sciences Undergraduate Honors Theses

Given some set of r general points in the projective plane, we want to better understand: what is the smallest degree of any polynomial passing through the points m times? How many linearly independent equations of this degree pass through the points m times? The investigation of these questions, particularly for the case of m=3 and r< 16, motivates the development of several results. We translate Terracini's inductive argument, a tool for evaluating the expectedness of certain sets of double points, into a version which can be used for triple points, and prove that the argument holds. We compute the minimal graded free resolutions for the ideals corresponding to up to 15 points, for m up to 6, and we conjecture a connection between the expectedness of these ideals and what their resolutions look like. Further, we prove that this conjecture holds when m=1, and we either fully or partially prove that these ideals are …

Abel Inversion Comparison Of Geant4 Simulation And Ozone Production Using Cavity Ringdown Spectroscopy In Nitrogen/Oxygen Mixtures In The Presence Of Alpha Radiation, Sidney John Gautrau

Dissertations

The effects of radioactive materials on atmospheric gases have been a topic of interest for years. Radioactive materials ionize the surrounding air, and subsequent reactions lead to molecules such as ozone and nitrogen oxides. The presence of these species above background levels can be used as a marker for radioactive materials which has desirable defense applications like remote detection of radioactive materials. The molecules created in the presence of radioactive materials have been quantified in literature using G-values, which is the number of molecules of a product produced per 100 eV of deposited energy. In this work, Cavity Ringdown Spectroscopy …

A Review Of Disassembly Systems For Circular Product Design, Giovanni Formentini, Joao Pj. Prioli, Junwon Ko, Buddhika M. Hapuwatte, Vincenzo Ferrero, Fazleena Badurdeen, Jeremy L. Rickli, Devarajan Ramanujan

Mechanical Engineering Faculty Publications

Circular Economy (CE) is described as a means for maintaining products and materials in circulation while regenerating nature. This shift requires considering aspects at the product design phase that were not previously prioritized. One such aspect, disassembly, is a key enabler for CE. Design for Disassembly methodologies have been deployed for several years to enhance disassembly performance. However, when CE is of interest, it is essential to consider how disassembly affects the entire product life cycle system. In this regard, this paper proposes a literature review of relevant DfD methods from a system engineering perspective to evaluate their effects on …

The Search For Slow Particles And Magnetic Monopoles With Nova, John Clark

Poster Presentations

Singular magnetic poles, north or south, have been theorized to exist for hundreds of years. In the modern day, the elusive singular magnetic pole still remains undiscovered. The appearance of this particle would help confirm many Grand Unified Theories, GUTs, and revolutionize our understanding of some of the fundamental forces of the universe. Fermilab's NOvA collaboration is working on ways to screen and detect magnetic monopoles and other slow-moving particles coming from outer space alongside their main mission to study neutrinos. The aim of this work is to determine and improve the Far Detector’s efficiency at identifying slow moving particles. …

Mapping Disparities: Spatial And Socioeconomic Analysis Of Medical Apartheid Regions In Spartanburg County, Anthony G. Tarulli

Student Scholarship

Medical Apartheid Regions (MARs) are a widely underesearched topic that are heavily prominent in the southeastern United States, specifically rural areas (Brînzac et al. 2023). Due to the historical implementation of redlining (Egede et al., 2023) and structural racism (Miller & Vasan, 2021) in the development of the southern United States, a reclassification of medical deserts needed to occur to truly assess the implications of a lack of healthcare acces.

Unraveling The Causal Influences Of Drought And Crop Production On Groundwater Levels Across The Contiguous United States, Nitin K. Singh, Sheila M. Saia, Ruchi Bhattacharya, Hoori Ajami, David M. Borrok

Geosciences and Geological and Petroleum Engineering Faculty Research & Creative Works

Groundwater depletion in agricultural-dominated regions is attributed to climate and irrigation withdrawals that support crop production. However, despite decades of effort, knowledge gaps remain in understanding the relative influence of drought and crop production on groundwater levels at the continental scale. Here, utilizing empirical observations, we simultaneously track how long-term trajectories of groundwater levels, crop production of seven crops, and drought have evolved over time, and then integrate these observations with a causality-based attribution framework to unravel the relative impact of drought and crop production on groundwater levels across the contiguous United States (CONUS). We find a dominant pattern of …

Simulations Of Magnetar Spin-Down Lifetimes Using Magnetic Braking Models, Sophie Wessel

Honors College Theses

The beginnings of magnetar lifetimes are not very well understood. It is important to improve our understanding of magnetar origins in order to investigate possible evolutionary connections to other classes of NS, such as X-ray dim isolated NSs (XDINSs). Here we follow in the steps of another paper1 in modeling the spin evolution of magnetars, utilizing two avenues of evolution: one involving exponential B-field decay, and the other involving suband super-exponential B-field decay. We replicate the results of the paper, utilizing Monte Carlo methods to generate and evolve synthetic populations of magnetars, which are then compared to the current known …

Toxicity And Biodegradability Of Novel Boronium Vs Conventional Ammonium Based Anti Microbial Compounds In Wastewater Treatment Systems, Noor Shalan

Poster Presentations

Quaternary ammonium compounds (QACs) are highly effective as disinfectants, herbicides, and pesticides; thus, overuse causes elevated levels of residual toxicity in domestic and industrial wastewater. QACs can be toxic to essential bacteria breaking down pollutants in wastewater treatment plants (WWTPs) and can remain untreated in effluent, harming the environment, and contributing to antibiotic resistance, posing risks to human health. Novel boronium-based antimicrobial compounds have demonstrated efficacy in eliminating bacteria, fungi, and viruses. If the boronium compounds exhibit lower residual toxicity, they could offer a promising alternative to QACs. Because these compounds are still in development, their potential toxicity to the …

Binary Solid/Liquid Equilibrium Of Mixtures Of Thermally Robust Salts And Molecular Compounds For Use As Heat Transfer Fluids, Jared Ridge Mathews

Poster Presentations

Fossil fuels, contributors to climate change that may bear catastrophic consequences, power the entire world. The human species is almost entirely dependent on fossil fuels for energy, but other sources of renewable and environmentally friendly energy must be developed. Concentrated solar power (CSP) is a promising source of renewable energy with hampered potential—better heat transfer fluids (HTFs) are needed for it to be economically feasible. Currently, the HTFs in industrial use are predominantly either synthetic oils or nitrate-based molten salts. Synthetic oils are only stable up to 400 °C, and molten salts often have high melting temperatures, making them prone …

Linear Dicyclopentadiene Copolymers: Synthesis And Thermal Analysis, Connor Lewis

Poster Presentations

To retain the existing advantages of L-pDCPD and to enhance its material properties, an incorporation of functionalized comonomers is being investigated. It is hypothesized that such functionalization will allow for higher theoretical molecular weights, increased oxidative resistance, and more durable thermal properties following air exposure. The use of heteroatoms in exemplary oxa-norbornene-based compounds is thought to strengthen intermolecular interactions and thus improve the structural stability of L-pDCPD. To better understand the polymerization initiated by GC3 and to identify potential ROCM processes, IR-active nitrile and hydroxyl groups were specifically incorporated. For this study, the comonomers were synthesized from exo-3,6-epoxy- 1,2,3,6 tetrahydrophthalic …

Ghosts In Glass: Ghost Crabs (Ocypode Quadrata) As Judges Of Glass Sand For Coastal Restoration, Emily Parrish

Poster Presentations

Coastal erosion is heavily impacting coastal ecosystems across the Gulf. For instance, the state of Louisiana loses a football field worth of land every 100 minutes (Couvillion, 2017). The drastic loss of coastline highlights the dire need for restoration in the Northern Gulf Coast. An unexpected solution to this sediment loss may solve two major environmental issues at once by diverting millions of tons of glass waste from entering America’s landfills each year. By crushing glass to create sand and gravel for coastal restoration, we may generate a consistent and sustainable source of substrate. Our goal is to determine the …

Designing An Interactive Exit Ticket System To Enhance Learning In Engineering Education, Tapanga Witt

McNair Scholars Manuscripts

Within Grand Valley State University's (GVSU) Padnos College of Engineering, many first-year Engineering courses consistently see pass rates below 70%, signaling a need for stronger academic support. This is an issue across many universities; students are underprepared and face a lot of challenges with workload, pace, and independence due to the transition from high school to college (Flanigan, 2024). For this project, I designed and developed a website-based exit ticket system to support student reflection and instructor feedback. Using UX design principles, the platform offers a weekly self-reflection form that recommends resources like tutoring, office hours, or study groups. Gamification …

Simulating Interactions Between (Remote) Internal Waves And The Background Flows And Topography Of The U.S. West Coast, Oladeji Siyanbola

Dissertations

This dissertation focuses on the simulation of remotely and locally generated semidiurnal internal tides (ITs) and near-inertial waves (NIWs), and how they interact with the California Current System (CCS) and the U.S. West Coast (USWC) topography. In Chapter II, we force Regional Ocean Modeling System (ROMS) simulations of the CCS with tides and remote internal waves (IWs) originating from as far as Hawaii, using a realistic global HYbrid Coordinate Ocean Model (HYCOM) simulation. To allow for optimal wave energy influx and minimize boundary reflections from the interior of the domain, we conduct boundary sensitivity tests on tide and IW forcing …

Quantifying The Role Of Climate On Tropical River Flow (Guarare River) Along The Panama Pacific Coast, 1981 – 2020., Jessie Abrego - Bonilla

Graduate Theses and Dissertations

The Guarare River watershed on the Azuero Peninsula of Panama, part of the Panamanian Dry Arc, experiences significant hydrological variability driven by seasonal changes, elevation, and the El Niño/Southern Oscillation (ENSO). This study investigates precipitation and river discharge patterns over 40 years (1981 – 2020), showing that elevation influences rainfall distribution, with higher-altitude areas receiving more precipitation during the Neutral and El Niño phases. In contrast, La Niña phases bring increased rainfall to lower-elevation areas, such as Pocrí. Seasonal ENSO effects reveal that El Niño phases reduce dry-season precipitation, lowering river discharge. La Niña events sustain high wet-season rainfall, peaking …

Western Australia’S Marine Heatwave Update - 9th May 2025, Department Of Primary Industries And Regional Development, Western Australia

Marine Heatwave Notification Reports

Category 1 – Moderate marine heatwave (MHW) conditions continue for the Gascoyne and South Coast Bioregions. Marine heatwave conditions in the North Coast Bioregion have abated and the West Coast Bioregion remains warm but neither are categorised as experiencing MHW conditions.