Quaternary Subsurface Characterization Of The Mississippi River Valley Alluvial Aquifer: Insights From Interval Kriging And Airborne Em-Borehole Data Integration, Yuqi Song

LSU Doctoral Dissertations

The Pleistocene period significantly contributed to the formation of alluvial aquifer worldwide. These productive aquifers are crucial for domestic, industrial, and agricultural water supplies. The Mississippi River Valley alluvial aquifer (MRVA), a principal aquifer in the U.S., is crucial for national food security and global agricultural supply. This study aims to characterize the subsurface architecture of the MRVA, thereby enhancing fundamental understanding of sedimentological processes involved in the genesis of glacio-fluvial aquifers worldwide. The research objectives are threefold: (1) to provide a detailed characterization of the MRVA; (2) to develop 3D geostatistical methods for geological modeling; and (3) to develop …

On Regularity And Convergence Of Solutions To The Boltzmann-Enskog Equations, Christian Ennis

LSU Doctoral Dissertations

The Boltzmann equation describes the time evolution of the density function in position-velocity space for a classical particle subjected to possible collisions by other particles in a diluted gas that expands in vacuum for a given initial distribution. While many authors have studied the probabilistic interpretation of the spatially homogeneous Boltzmann equation, there is a dearth of articles on the stochastic framework of the full (that is, spatially inhomogeneous) Boltzmann equation. In this thesis, we examine a stochastic process, developed by S. Albevario, B. Ruediger, and P. Sundar, whose law is a weak solution to a mollified Boltzmann equation. This …

On Unavoidable Infinite Hypergraphs, Samuel Weiner

LSU Doctoral Dissertations

Ramsey's Theorem states that every infinite graph contains either K_∞ or $\overline{K_∞}$ as an induced subgraph. For this reason, K_∞ and $\overline{K_∞}$ are often referred to as the unavoidable infinite graphs. Many similar results have characterized the unavoidable members for various classes of infinite graphs; perhaps the most notable of these is König's Infinity Lemma, which states that every infinite, connected, locally finite graph contains a ray as an induced subgraph. From these findings, one can easily deduce that every infinite, connected graph contains an infinite clique, star, or ray as an induced subgraph; …

Exploring Pedagogical Approaches And Discussion For Young Beginner Double Bass Players, Jiaying Zhang

LSU Doctoral Dissertations

In recent years, early childhood education for the double bass has gained increasing attention and plays a crucial role in shaping the future development of the instrument. However, compared to other instruments, research on early childhood education for the double bass remains relatively underdeveloped, with a lack of written materials on the subject. This thesis introduces the formation of early childhood teaching concepts and explains why parents play an irreplaceable role in a child’s initial exposure to music learning. By collecting and analyzing traditional double bass teaching methods and integrating common principles from other string instrument teaching approaches, this study …

Rheological, Interfacial, And Filtration Behavior Of Lignocellulosic Nanomaterials In Suspension And Emulsion Drilling Fluids, Meen Sung Koo

LSU Doctoral Dissertations

In recent years, the rheological aspects of suspensions/emulsions applied by cellulose nanomaterials (CNMs) have been gained considerable interests due to high gel-forming properties ascribed by hydrophilicity, crystallinity, ease functionalization, and high aspect ratio. Introducing residual lignin in CNMs (LCNMs) seemed to be capable of achieving various advantages in the application of CNMs ascribed by hydrophobicity, binding effects, and abundant aromatic groups derived from complexity of lignin. This dissertation dedicates to the characterizations of (L)CNMs, and rheological properties of (L)CNMs applied fluids (i.e., suspension and emulsion). In the suspension system, the presence of lignin in LCNMs decreased gel strength, viscosity, and …

Evaluating Biotic Effecrs Associated With The Paleocene-Eocene Thermal Maximum In Mississippi And Alabama: A Palynological And Biostratigraphic Study Of Amoco's Legacy Samples, Sarah Fortin Bancroft

LSU Master's Theses

The Paleocene-Eocene Thermal Maximum (PETM) was a ~200 ka period of rapid global warming in the earliest Eocene (~56 Ma) involving a roughly 7 °C rise in atmospheric and sea-surface temperatures. The Gulf of Mexico Wilcox Group contains very well-preserved terrestrial and deltaic sediments that contain exploitable hydrocarbons . The Wilcox Group’s Paleocene Tuscahoma and Eocene Hatchetigbee Formations have been roughly dated with calcareous and planktonic foraminiferal assemblages by AMOCO; however, the precise ages of these formations, their palynological assemblages, and their paleo-depositional geosystems are an area of active research.

Through a high-resolution palynological analysis, this study assesses the depositional …

Explicit Modularity And Moments For Certain Hypergeometric Character Sums, Brian Grove

LSU Doctoral Dissertations

A great deal of progress in number theory throughout history has been motivated by trying to solve equations. One of the most famous challenges is to show there are no positive integer solutions to $x^{n}+y^{n} = z^{n}$ for $n > 2$, posed by Fermat around 1637. Special cases, such as the $n = 3$ and $n = 4$ cases, can be established using various algebraic manipulations. However, a general solution was elusive until the late 1990s when the combined work of Wiles \cite{Wiles} and Taylor--Wiles \cite{TaylorWiles} give a full proof.

One of the key insights used in proving Fermat's conjecture involves …

Stochastic Analysis And White Noise Calculus Of Nonlinear Wave Equations With Application To Laser Generation And Propagation, Sivaguru S. Sritharan, Saba Mudaliar

Journal of Stochastic Analysis

No abstract provided.

Social Stories To Shape Impulsive Behaviors To Increase Self-Regulation In Preschoolers, Caroline Claire Hargrave

LSU Master's Theses

ABSTRACT

BACKGROUND: Students need to be able to self-regulate their behavior within the classroom, thus not interrupting instruction and keeping the classroom running smoothly. Self-regulation is a critical skill children need to succeed in multiple aspects of life. Poor self-regulation skills can lead to challenges academically as well as socially. Contrary to self-regulation is impulsivity, which surrounds not thinking before doing. Impulsivity is a common factor seen within the preschool setting, which surrounds multiple behavior variations deemed unsuitable for classroom learning. Previous research indicates that social stories can be implemented within the classroom to decrease inappropriate behaviors in preschoolers with …

The Boltzmann-Enskog Equation With Brownian Forcing, Aurora Wallace

LSU Doctoral Dissertations

Interacting particle systems (IPS) are used to rigorously derive partial differential equations modeling macroscopic behavior given by systems of stochastic differential equa- tions in physics, biology, and other sciences. These systems model the time evolution of n interacting particles with desired dynamics. In the n-system studied here, only two parti- cles may interact at a time (binary collisions). The particles are exchangeable; that is, the ordering of the particles does not play a role, and the interaction between the ith particle and the jth particle models an elastic collision. In this thesis, we use the method of inter- acting particle …

Improving The Stability And Selectivity Of Methane Dry Reforming Catalysis Through Active Site And Process Tuning, Jonathan Lucas

LSU Doctoral Dissertations

Dry reforming of methane (DRM) is a potential industrial solution to greenhouse emissions whereby CH₄ and CO₂ are reacted on a transition metal catalyst to produce syngas, a feed stock for higher value chemical products. Ni can be used as the catalyst for DRM replacing the high cost and low abundance noble metals (Pt, Pd, Rh). However, the harsh process conditions of DRM (T > 700°C, P of 1-10 bar) readily deactivate Ni through coking and sintering. Ni supported on reducible oxides, specifically CeO₂ and CeO₂-ZrO₂ (CZO), have been widely studied to combat the rapid …

Bayesian Network-Based Framework To Uncover Social Inequities In Flood Risk: Application To East Baton Rouge Parish, Louisiana, Fuad Hasan

LSU Master's Theses

Regional flood risk assessment requires understanding the complex interplay of sociodemographic, socioeconomic, hydrogeologic, built environment, and climatic variables that impact flood vulnerability. Traditional studies often focus on large-scale units, overlooking localized variations and disproportionate exposure within populations. To address these gaps, a methodological framework of flood risk assessment using the Bayesian network was proposed and applied to East Baton Rouge Parish, Louisiana, for the August 2016 flood event to identify relationships between flood risk variables at the housing unit level. Flood exposure representativeness (FER) was determined using the Bayesian network's inference capabilities to identify over- or under-represented groups. This study …

Desired Student Learning Outcomes For Middle School Agricultural Education: A Modified Delphi Study, Jacob P. Englin

LSU Doctoral Dissertations

Middle school agricultural education programs across the U.S. have continued to increase, but modern systems have failed to provide support for the preparation of middle school agricultural education teachers. For instance, middle school teachers have expressed concern regarding the development and implementation of middle school agricultural curriculum. In response, this investigation sought to identify learning outcomes related to agricultural content, technical skills, and career readiness for middle school agricultural education. A modified, three-round modified Delphi study was used to identify these learning outcomes. The expert panelists consisted of 19 middle school agricultural education teachers who completed a teacher certification program …

In The Thick Of It, Mark T. Leavens

LSU Master's Theses

In this exhibition, In The Thick Of It, my paintings and sculptures serve as a visual diary of my experience moving to and navigating life in Louisiana. Through art, I document this new landscape and atmosphere, capturing my evolving emotional state, shifting focus, and emerging ideas. As an outsider, the process of discovery introduces layers of tension, curiosity, and fragmentations in my paintings. The spaces within my paintings reflect a constant flux, mirroring the ongoing adjustments to Louisiana’s cultural cues, history, and environment. The complexity of this rich yet challenging place permeates my art, creating dynamic, layered compositions that echo …

An Interdisciplinary Analysis Framework For Found Object Experimental Music, Erin Demastes

LSU Doctoral Dissertations

Found object experimental music consists of compositions and performances created with objects not intended for musical performance. Found objects can range from appliances and household items to power tools and consumer products to souvenirs and heirlooms. Although these objects are used with the intent of creating musical compositions, new characteristics that are not found in traditional music emerge. One major characteristic that differentiates found object music from traditional music is that the objects have inherent cultural associations and meaning outside of their use in the composition. While an analysis of the sonic structures and scores of found object experimental music …

An Operator Information Quantity Of A Semigroup And Associated Differential Equations, Kimiaki Saito, Ryo Inayoshi

Journal of Stochastic Analysis

No abstract provided.

Examining The Role Of Cognition And Late-Life Treatment Resistant Depression On Everyday Functioning, Ashlyn Runk

LSU Master's Theses

The capacity to complete instrumental activities of daily living (IADL) is essential to older adults maintaining their ability to age in place and is influenced by factors including depression and cognition. There is evidence to suggest that depression and cognition influence each other in their relationship with everyday functioning. However, much of this work has been done in samples with low overall levels of depressive symptoms. The goal of the current study was to examine these relationships in older adults with a history of moderate to severe treatment resistant depression and determine if the relationship between executive functioning and everyday …

Investigating Spatial Mapping Of Lipid And Protein Alterations Within Cells And Tissues Using Raman Microspectroscopy, Elnaz Sheikh

LSU Doctoral Dissertations

The progression of various diseases is associated with alterations in the microenvironment of cells, consisting of a variety of metabolites like lipids and proteins. It is well known that lipids and proteins are potential biomarkers for indicating alterations within the cell microenvironment induced by disease, and various methods are frequently used for their examination. To understand the chemical composition and spatial distribution of constituents in tissues and cells, confocal Raman spectroscopy and microscopy, as non-destructive tools, have shown potential for monitoring abnormalities at the cellular level with high resolution and can facilitate detection through targeting multiple biomarkers. The application of …

Layer-Dependent Spin-Resolved Electronic Structure Of Ferromagnetic Triple-Layered Ruthenate Sr4ru3 O10, Prosper Ngabonziza, Jonathan D. Denlinger, Alexei V. Fedorov, Gang Cao, J. W. Allen, G. Gebreyesus, Richard M. Martin

Faculty Publications

High-resolution angle- and spin-resolved photoemission spectroscopy (ARPES) of the triple-layered ruthenate Sr4Ru3O10 reveals features of the electronic structure that extend our understanding of the layered strontium ruthenates. The spectra near the Fermi energy are very different from the nonmagnetic analogues Sr2RuO4 and Sr3Ru2O7 with distinct Fermi surfaces for wide electronlike minority spin bands around the zone center and narrow holelike majority spin Fermi surface contours around the zone corners. The most dramatic results are two narrow spectral peaks ∼30 meV below the Fermi level, a spin-minority holelike band at the Brillouin zone center, and a spin-majority saddle-band van Hove singularity …

The Product Formula Of Multiple Stochastic Integrals With Respect To The Poisson Space Noise, Yuh-Jia Lee, Hsin-Hung Shih

Journal of Stochastic Analysis

No abstract provided.

American Option Pricing Using Generalised Stochastic Hybrid Systems, Evelyn Buckwar, Sascha Desmettre, Agnes Mallinger, Amira Meddah

Journal of Stochastic Analysis

No abstract provided.

About Fixed Points Of Quantum Channels, Raffaella Carbone

Journal of Stochastic Analysis

No abstract provided.

Induced-Minor-Closed Classes Of Matroids, James Dylan Douthitt

LSU Doctoral Dissertations

A graph is chordal if every cycle of length at least four has a chord. In 1961, Dirac characterized chordal graphs as those graphs that can be built from complete graphs by repeated clique-sums. Generalizing this, we consider the class of simple GF(q)-representable matroids that can be built from projective geometries over GF(q) by repeated generalized parallel connections across projective geometries. We show that this class of matroids is closed under induced minors and characterize the class by its forbidden induced minors, noting that the case when q=2 is distinctive. Additionally, we show that the class of GF(2)-chordal matroids coincides …

Best Practices: Running Focus Groups With Young Children, H. Colleen Sinclair

Reports

The practice guide provides general recommendations for conducting focus groups with elementary school children in the United States. The guide was assembled with the intention of gathering students' experiences with math, particularly their use of digital learning tools in the classroom. Researchers provide practical and easy-to-follow recommendations for qualitative inquiry with groups of young students.

Infrared Laser Ablation Of Biomolecules From Formalin-Fixed Tissue, Blessing Chisom Egbejiogu

LSU Doctoral Dissertations

In the research described in this dissertation, a high-precision infrared laser ablation microsampling method was utilized for spatially resolved proteomic and lipidomic analyses of formalin fixed paraffin embedded (FFPE) tissue, a widely used archival sample in biomedical research. Despite its extensive use, FFPE tissue presents challenges for proteomic analysis due to protein cross-linking and modifications introduced during fixation, which can hinder extraction and identification. Developing a streamlined high-resolution method to recover biomolecules from FFPE samples is critical for advancing biomarker discovery, retrospective studies, and multi-omics research. To address these challenges, this study employs an infrared (IR) laser ablation microdissection system …

Kg-Dta: A Knowledge Graph-Based Meta-Path Learning Framework To Predict Drug-Target Binding Affinity, Amit Ranjan, Adam Bess, Md Saiful Islam Sajol, Magesh Rajasekaran, Chris Alvin, Supratik Mukhopadhyay

Faculty Publications

Drug target affinity (DTA) prediction is essential at different phases of drug discovery and virtual drug screening. However, traditional wet lab experiments are time and resource-intensive owing to the complex interactions within the vast biological and chemical spaces. Computational methods have proven their potential to predict DTA, but none have considered the association of drugs and proteins to capture the complex interactions in the biological network between drugs and proteins. To address this, we propose a novel framework leveraging knowledge graph-based meta-path learning (KG-DTA) to enhance DTA prediction. First, we construct a weighted heterogeneous network of drugs and proteins that …

Negotiating Home In The Long Poem: Amatoritsero Ede’S Transpatiality, Mathias Iroro Orhero

Faculty Publications

In this paper, I argue that Amatoritsero Ede uses the long poem to negotiate the idea of home in an African diasporic context. As a form that carries the implications of length, time, and space, the long poem has been used by poets to interrogate the way we structure the world and to deconstruct grand narratives. The figure of the Black immigrant is one that destabilizes grand narratives of nationalism. This makes the form important in its capacity to ask important questions about nation and tradition even as it transgresses them. As a writer from the Niger Delta, a marginal …

High-Resolution Model Intercomparison Project Phase 2 (Highresmip2) Towards Cmip7, Malcolm J. Roberts, Kevin A. Reed, Qing Bao, Joseph J. Barsugli, Suzana J. Camargo, Louis Philippe Caron, Ping Chang, Cheng Ta Chen, Hannah M. Christensen, Gokhan Danabasoglu, Ivy Frenger, Neven S. Fučkar, Shabeh Ul Hasson, Helene T. Hewitt, Huanping Huang, Daehyun Kim, Chihiro Kodama, Michael Lai, Lai Yung Ruby Leung, Ryo Mizuta, Paulo Nobre, Pablo Ortega, Dominique Paquin, Christopher D. Roberts, Enrico Scoccimarro, Jon Seddon, Anne Marie Treguier, Chia Ying Tu, Paul A. Ullrich, Pier Luigi Vidale, Michael F. Wehner, Colin M. Zarzycki

Faculty Publications

Robust projections and predictions of climate variability and change, particularly at regional scales, rely on the driving processes being represented with fidelity in model simulations. Consequently, the role of enhanced horizontal resolution in improved process representation in all components of the climate system continues to be of great interest. Recent simulations suggest the possibility of significant changes in both large-scale aspects of the ocean and atmospheric circulations and in the regional responses to climate change, as well as improvements in representations of small-scale processes and extremes, when resolution is enhanced. The first phase of the High-Resolution Model Intercomparison Project (HighResMIP1) …

Developing A Southern Ocean Marine Ecosystem Model Ensemble To Assess Climate Risks And Uncertainties, Kieran Murphy, Denisse Fierro-Arcos, Tyler Rohr, David Green, Camilla Novaglio, Katherine Baker, Kelly Ortega-Cisneros, Tyler D. Eddy, Cheryl S. Harrison, Simeon L. Hill, Patrick Eskuche-Keith, Camila Cataldo-Mendez, Colleen M. Petrik, Matthew Pinkerton, Paul Spence, Ilaria Stollberg, Roshni C. Subramaniam, Rowan Trebilco, Vivitskaia Tulloch, Juliano Palacios-Abrantes, Sophie Bestley, Daniele Bianchi, Philip Boyd, Pearse J. Buchanan, Andrea Bryndum-Buchholz, Marta Coll, Stuart Corney, Samik Datta, Jason D. Everett, Romain Forestier, Elizabeth A. Fulton, Vianney Guibourd De Luzinais, Ryan Heneghan

Faculty Publications

Climate change could irreversibly modify Southern Ocean ecosystems. Marine ecosystem model (MEM) ensembles can assist policy making by projecting future changes and allowing the evaluation and assessment of alternative management approaches. However, projected changes in total consumer biomass from the Fisheries and Marine Ecosystem Model Intercomparison Project (FishMIP) global MEM ensemble highlight an uncertain future for the Southern Ocean, indicating the need for a region-specific ensemble. A large source of model uncertainty originates from the Earth system models used to force FishMIP models, particularly future changes to lower trophic level biomass and sea-ice coverage. To build confidence in regional MEMs …

Global And Regional Marine Ecosystem Models Reveal Key Uncertainties In Climate Change Projections, Tyler D. Eddy, Ryan F. Heneghan, Andrea Bryndum-Buchholz, Elizabeth A. Fulton, Cheryl S. Harrison, Derek P. Tittensor, Heike K. Lotze, Kelly Ortega-Cisneros, Camilla Novaglio, Daniele Bianchi, Matthias Büchner, Catherine Bulman, William W.L. Cheung, Villy Christensen, Marta Coll, Jason D. Everett, Denisse Fierro-Arcos, Eric D. Galbraith, Didier Gascuel, Jerome Guiet, Steve Mackinson, Olivier Maury, Susa Niiranen, Ricardo Oliveros-Ramos, Juliano Palacios-Abrantes, Chiara Piroddi, Hubert Du Pontavice, Jonathan Reum, Anthony J. Richardson, Jacob Schewe, Lynne Shannon, Yunne Jai Shin, Jeroen Steenbeek

Faculty Publications

Climate change is affecting ocean temperature, acidity, currents, and primary production, causing shifts in species distributions, marine ecosystems, and ultimately fisheries. Earth system models simulate climate change impacts on physical and biogeochemical properties of future oceans under varying emissions scenarios. Coupling these simulations with an ensemble of global marine ecosystem models has indicated broad decreases of fish biomass with warming. However, regional details of these impacts remain much more uncertain. Here, we employ CMIP5 and CMIP6 climate change impact projections using two Earth system models coupled with four regional and nine global marine ecosystem models in 10 ocean regions to …