Study Of Parity Sheaves Arising From Graded Lie Algebras, Tamanna Chatterjee

LSU Doctoral Dissertations

Let $G$ be a complex, connected, reductive, algebraic group, and $\chi:\mb{C}^\times \to G$ be a fixed cocharacter that defines a grading on $\mf{g}$, the Lie algebra of $G$. Let $G_0$ be the centralizer of $\chi(\mb{C}^\times)$. In this dissertation, we study $G_0$-equivariant parity sheaves on $\mf{g}_n$, under some assumptions on the field $\Bbbk$ and the group $G$. The assumption on $G$ holds for $GL_n$ and for any $G$, it recovers results of Lusztig\cite{Lu} in characteristic $0$. The main result is that every parity sheaf occurs as a direct summand of the parabolic induction of some cuspidal pair.

Modeling Hydraulic Fracturing Initiation And Propagation In Porous Rock Formationsl, Chang Huang

LSU Doctoral Dissertations

Hydraulic fracturing has long been introduced to the oil and gas industry since the early nineteenth century for both reservoir characterization and reservoir stimulation. Despite the progress made in the last two decades, many challenges still have not been tackled regarding not only the propagation problem but also the initiation problem due to its complexity. The dissertation is divided into two stages, i.e., before and after fracture initiation. The first stage of the research aimed at improving the accuracy in solving the poro-mechanical response of wellbore during fluid injection before a tensile fracture occurs, which is crucial to determine the …

An Investigation Of The Effects Of Variable Magnetic Field Gradients On Soot And Co Emissions From Non-Premixed Hydrocarbon Flames, Edison Ekperechukwu Chukwuemeka

LSU Doctoral Dissertations

The interaction of the paramagnetic species in a combustion process with the mag- netic field placed in the vicinity of non-premixed flames affects the characteristics of the non-premixed flames - flame height and flame lift-off height. However, the effect of this magnetic interaction on the pollutants generated by the flame is unknown.

In general, pollutant formation is promoted in most combustion systems due to in- complete combustion of the hydrocarbon due to improper mixing. Since paramagnetic combustion species such as O2, O, OH, etc interacts with magnetic fields and possess a preferential motion direction, imposing magnetic field on non-premixed flames …

Exact Solutions To Optimal Control Problems For Wiener Processes With Exponential Jumps, Mario Lefebvre

Journal of Stochastic Analysis

No abstract provided.

Digital Art Application To Music Videos, Janna Kelly

Honors Capstones

No abstract provided.

‘On Not Knowing Greek’: Classical Challenges And The Responses Of Victorian Women Of Ambition, Cora Barhorst

Honors Capstones

No abstract provided.

Complementation, Local Complementation, And Switching In Binary Matroids, James Oxley, Jagdeep Singh

Faculty Publications

In 2004, Ehrenfeucht, Harju, and Rozenberg showed that any graph on a vertex set V can be obtained from a complete graph on V via a sequence of the operations of complementation, switching edges and non-edges at a vertex, and local complementation. The last operation involves taking the complement in the neighbourhood of a vertex. In this paper, we consider natural generalizations of these operations for binary matroids and explore their behaviour. We characterize all binary matroids obtainable from the binary projective geometry of rank r under the operations of complementation and switching. Moreover, we show that not all binary …

Citations Versus Expert Opinions: Citation Analysis Of Featured Reviews Of The American Mathematical Society, Lawrence Smolinsky, Daniel S. Sage, Aaron J. Lercher, Aaron Cao

Faculty Publications

Peer review and citation metrics are two means of gauging the value of scientific research, but the lack of publicly available peer review data makes the comparison of these methods difficult. Mathematics can serve as a useful laboratory for considering these questions because as an exact science, there is a narrow range of reasons for citations. In mathematics, virtually all published articles are post-publication reviewed by mathematicians in Mathematical Reviews (MathSciNet) and so the data set was essentially the Web of Science mathematics publications from 1993 to 2004. For a decade, especially important articles were singled out in Mathematical Reviews …

Adaptive C0 Interior Penalty Methods For Hamilton–Jacobi–Bellman Equations With Cordes Coefficients, Susanne C. Brenner, Ellya L. Kawecki

Faculty Publications

In this paper we conduct a priori and a posteriori error analysis of the C interior penalty method for Hamilton–Jacobi–Bellman equations, with coefficients that satisfy the Cordes condition. These estimates show the quasi-optimality of the method, and provide one with an adaptive finite element method. In accordance with the proven regularity theory, we only assume that the solution of the Hamilton–Jacobi–Bellman equation belongs to H . 0 2

The Fermi-Gbm Gamma-Ray Burst Spectral Catalog: 10 Yr Of Data, S. Poolakkil, R. Preece, C. Fletcher, A. Goldstein, P. N. Bhat, E. Bissaldi, M. S. Briggs, E. Burns, W. H. Cleveland, M. M. Giles, C. M. Hui, D. Kocevski, S. Lesage, B. Mailyan, C. Malacaria, W. S. Paciesas, O. J. Roberts, P. Veres, A. Von Kienlin, C. A. Wilson-Hodge

Faculty Publications

We present the systematic spectral analyses of gamma-ray bursts (GRBs) detected by the Fermi Gamma-Ray Burst Monitor during its first ten years of operation. This catalog contains two types of spectra: time-integrated spectral fits and spectral fits at the brightest time bin, from 2297 GRBs, resulting in a compendium of over 18,000 spectra. The four different spectral models used for fitting the spectra were selected based on their empirical importance to the shape of many GRBs. We describe in detail our procedure and criteria for the analyses, and present the bulk results in the form of parameter distributions both in …

Polycyclic Aromatic Hydrocarbon-Dna Adducts In Gulf Of Mexico Sperm Whale Skin Biopsies Collected In 2012, Miriam C. Poirier, Letizia Marsili, Maria Cristina Fossi, Céline A.J. Godard-Codding, Elena E. Hernandez-Ramon, Nancy Si, Kathyayini V. Divi, Rao L. Divi, Iain Kerr, John Pierce Wise, John Pierce Wise, Catherine F. Wise, Sandra S. Wise, Abou El Makarim Aboueissa, James T.F. Wise

Faculty Publications

The northern Gulf of Mexico has a long history of polycyclic aromatic hydrocarbon (PAH) contamination from anthropogenic activities, natural oil seepages, and the 2010 Deepwater Horizon explosion and oil spill. The continental shelf of the same area is a known breeding ground for sperm whales (Physeter macrocephalus). To evaluate PAH-DNA damage, a biomarker for potential cancer risk, we compared skin biopsies collected from Gulf of Mexico sperm whales in 2012 with skin biopsies collected from sperm whales in areas of the Pacific Ocean in 1999-2001. All samples were obtained by crossbow and comprised both epidermis and subcutaneous blubber. To evaluate …

Circadian Rhythms In Legumes: What Do We Know And What Else Should We Explore?, Hazel Marie Kugan, Nur Ardiyana Rejab, Nurul Amylia Sahruzaini, Jennifer Ann Harikrishna, Niranjan Baisakh, Acga Cheng

Faculty Publications

The natural timing devices of organisms, commonly known as biological clocks, are composed of specific complex folding molecules that interact to regulate the circadian rhythms. Circadian rhythms, the changes or processes that follow a 24‐h light–dark cycle, while endogenously programmed, are also influenced by environmental factors, especially in sessile organisms such as plants, which can impact ecosystems and crop productivity. Current knowledge of plant clocks emanates primarily from research on Arabidopsis, which identified the main components of the circadian gene regulation network. Nonetheless, there remain critical knowledge gaps related to the molecular components of circadian rhythms in important crop groups, …

On Graphic Arrangement Groups, Daniel C. Cohen, Michael J. Falk

Faculty Publications

A finite simple graph Γ determines a quotient PΓ of the pure braid group, called a graphic arrangement group. We analyze homomorphisms of these groups defined by deletion of sets of vertices, using methods developed in prior joint work with R. Randell. We show that, for a K4-free graph Γ, a product of deletion maps is injective, embedding PΓ in a product of free groups. Then PΓ is residually free, torsion-free, residually torsion-free nilpotent, and acts properly on a CAT(0) cube complex. We also show PΓ is of homological finiteness type Fm−1, but not Fm, where m is the number …

Does The Impact Of Intensive Lifestyle Intervention On Cognitive Function Vary Depending Baseline Level Of Frailty? An Ancillary Study To The Action For Health In Diabetes (Look Ahead) Trial, Felicia R. Simpson, Owen Carmichael, Kathleen M. Hayden, Christina E. Hugenschmidt, Jeanne M. Mccaffery, Sevil Yasar, Nicholas M. Pajewski, Mark A. Espeland

Clinical Research Faculty Publications

Aims: To assess whether there is an opportune window when intensive lifestyle intervention (ILI) benefits cognitive function. Methods: Standardized cognitive assessments were collected following ≥8 years of either ILI or a control condition of diabetes support and education (DSE) in 3708 individuals, ages 45-76 years at enrollment, with type 2 diabetes and overweight or obesity. Frailty index (FI) scores were used to group individuals at baseline into tertiles according to their age-related health status. Linear models were used to describe intervention adherence and cognitive function, with interaction terms to examine the consistency of relationships among tertiles. Results: Worse baseline FI …

Effects Of Planning And Repeated Writing Interventions On Writing Fluency, Katherine Lea Moore

LSU Doctoral Dissertations

Writing is an essential skill for academic success. Evidence shows students with writing difficulties experience lower overall academic performance (Graham & Perin, 2007). The development of fluent writing is particularly important, as it has been shown to be a strong predictor of global writing quality (Malecki & Jewell, 2003). Limited research exists on writing interventions specifically targeting writing fluency. While performance feedback procedures have been found effective for increasing writing fluency (Hier & Eckert, 2016), interventions such as story-mapping and self-regulation strategy development (SRSD), which target higher order writing skills, have also been shown to improve writing fluency abilities (Harris, …

Controlling The Orientation Of Fluorescent Dyes Using External Electric Fields, Henry J. Kantrow

Honors Capstones

No abstract provided.

The Modern Plant Breeding Triangle: Optimizing The Use Of Genomics, Phenomics, And Enviromics Data, Jose Crossa, Roberto Fritsche-Neto, Osval A. Montesinos-Lopez, Germano Costa-Neto, Susanne Dreisigacker, Abelardo Montesinos-Lopez, Alison R. Bentley

Faculty Publications

No abstract provided.

Laser Power Stabilization Via Radiation Pressure, Marina Trad Nery, Jasper R. Venneberg, Nancy Aggarwal, Garrett D. Cole, Thomas Corbitt, Jonathan Cripe, Robert Lanza, Benno Willke

Faculty Publications

This Letter reports the experimental realization of a novel, to the best of our knowledge, active power stabilization scheme in which laser power fluctuations are sensed via the radiation pressure driven motion they induce on a movable mirror. The mirror position and its fluctuations were determined by means of a weak auxiliary laser beam and a Michelson interferometer, which formed the in-loop sensor of the power stabilization feedback control system. This sensing technique exploits a nondemolition measurement, which can result in higher sensitivity for power fluctuations than direct, and hence destructive, detection. Here we used this new scheme in a …

Machine Learning Approach To Pattern Recognition In Nuclear Dynamics From The Ab Initio Symmetry-Adapted No-Core Shell Model, Oleksandr Molchanov

Honors Capstones

No abstract provided.

Structure-Activity Relationship Analysis Of Psychedelics In A Rat Model Of Asthma Reveals The Anti-Inflammatory Pharmacophore, Thomas W. Flanagan, Gerald B. Billac, Alexus N. Landry, Melaine N. Sebastian, Stephania A. Cormier, Charles D. Nichols

Division of Basic Science Faculty Publications

Psychedelic drugs can exert potent anti-inflammatory effects. However, anti-inflammatory effects do not appear to correlate with behavioral activity, suggesting different underlying mechanisms. We hypothesized that the distinct structural features of psychedelics underlie functionally selective mechanisms at the target 5-HT2A receptor to elicit maximal anti-inflammatory effects. In order to test this hypothesis, we developed a new rat-based screening platform for allergic asthma. Next, we investigated 21 agonists at the 5-HT2A receptor from the three primary chemotypes (phenylalkylamine, ergoline, and tryptamine) for their ability to prevent airways hyperresponsiveness as a measure of pulmonary inflammation. Furthermore, we assessed each drug for in vitro …

Aspire To Inspire: A Mentoring Program's Efforts To Inspire Disconnected African American Male Students To Aspire To Their Goals., Khristopher Keon Hobbs

LSU Doctoral Dissertations

ABSTRACT

This study was designed to explore, record, explain and describe the lived experiences of African American male students engaged in mentorship programs for post-secondary education. This study takes an exploratory phenomenological approach to research and is conducted at a mentorship program site. The following research questions guided this study and provided insight into participant’s experiences:

1. How do Black males describe their experience in a holistic mentorship development program that prepares them for post-secondary educational success?
2. How were aspirations for post-secondary education cultivated among Black male students who are currently enrolled in high school and entering their first year in …

How Teachers Identify Characteristics Of The Reggio Emilia Philosophy In Practice: A Case Study, Autumn E. Smith

LSU Master's Theses

The Reggio Emilia philosophy has been guiding early childhood practices since its development by Loris Malaguzzi in 1963. Originating in Reggio Emilia, Italy, this approach to early childhood education emphasizes building and nurturing relationships between the adult and child. This philosophy is guided by eight core tenets – The Environment as the Third Teacher, 100 Languages of Children, Long-Term Projects, Teacher-Researcher, Image of the Child, Negotiated Learning, Documentation, and Social Relations. Research shows that young children’s engagement with the Reggio Emilia approach benefits their academic, cognitive, and social-emotional development. However, there is currently no school accreditation or teacher certification …

Integration And Analysis Of Gaze Behavior In Augmented Reality, George Villaume

Honors Capstones

No abstract provided.

Plant-Wide Control System Proposal Of Ethylene Cracking Plant Simulation, Estelle Seghers

Honors Capstones

No abstract provided.

Mitochondrial Dna Genetic Variation And Structure In Smalltooth Sawfish (Pristis Pectinata), Keyla N. Pruett

Honors Capstones

No abstract provided.

Rutile As A Provenance Indicator For The Camerino Sandstone Of The Camerino Basin, Apennine Mountain Region, Italy, Wendy Bogil

Honors Capstones

No abstract provided.

United States’ Education And The Creation Of The Neoliberal Subject, Sam Stewart

Honors Capstones

No abstract provided.

Reversing The Regioselectivity Of Indole Addition To Cyclic Unsymmetrical Oxyallyl Cations: Construction Of Diaryl Quaternary Centers, Thomas Davis Curry Ii

Honors Capstones

No abstract provided.

The Ldoe’S Innovative Assessment Pilot: Bridging Or Widening The Gap?, Eric Forbes

Honors Capstones

No abstract provided.

Industrial Emission Patterns: A Study Of Two Refineries In Louisiana, Khanh Vu

Honors Capstones

No abstract provided.