Digital Commons Network^™

Modelling Uncertain Volatility Using Quantum Stochastic Calculus: Unitary Vs Non-Unitary Time Evolution, Will Hicks

Journal of Stochastic Analysis

No abstract provided.

State-Of-Charge Estimation Using Deep Learning For Electric Vehicles, Samer Yahya Ribhe Tahboub

LSU Master's Theses

This thesis investigates the application of deep learning models for State of Charge (SOC) estimation in Battery Management Systems (BMS) for electric vehicles (EVs), focusing on optimizing EV range, lifespan, and performance while addressing challenges like range anxiety. The study explores three deep learning architectures—Long Short-Term Memory (LSTM), Bidirectional LSTM (BiLSTM), and Gated Recurrent Unit (GRU)—each designed to capture complex temporal dependencies in battery data. The LSTM model is trained on EV battery data, including voltage, current, temperature, and SOC, providing a strong baseline for SOC estimation. The BiLSTM model enhances accuracy by processing data in both forward and backward …

Synthesis And Characterization Of Bimetallic Plasmonic Nanoparticles Using Linear And Nonlinear Spectroscopy, Daniel Babayode

LSU Doctoral Dissertations

Recent exploration in the field of nanomaterials has led to the investigation of noble metal nanoparticles for various nanomedical applications. The spectroscopy of these nanoparticles is studied using both linear and nonlinear optical processes such as second harmonic generation (SHG), two-photon fluorescence (TPF), and extinction spectroscopy. Details pertaining to the growth dynamics of silver-gold core-shell (Ag@Au CS) nanoparticles (NPs) and gold-silver-gold core-shell-shell (Au@Ag@Au CSS) nanoparticles (NPs) are currently being investigated in order to obtain better control and optimization of the nanoparticle size and surface morphology. Transmission electron microscopy (TEM) images show that the nanoparticles have tunable core and shell sizes …

Johann Georg Hamann And The Liberal Project, Jesse D. Ansley

LSU Doctoral Dissertations

This dissertation examines the political thought of Johann Georg Hamann, his relationship to liberalism, and the importance to modern concerns for consensus formation and intercultural dialogue. This contributes to the line of literature sparked by Isaiah Berlin debating the political legacy of Hamann and its relation to the development of modern politics. Berlin labels Hamann an anti-rationalist whose current developed into the ideology of the Nazi party. My work supports the countervailing arguments that Hamann’s work is importantly different from the Romantics he inspired and even more so from the Nazis. By examining two complete works and a number of …

Petroleum Reservoir Dynamics, Mehdi Zeidouni

E-Textbooks

The book is structured into nine chapters, each designed to build a comprehensive understanding of reservoir engineering principles. Chapter 1 introduces the discipline and its connections with other areas of petroleum engineering. Chapters 2 through 5 address steady-state flow and its various complexities: Darcy’s equation and its limitations (Chapter 2); flow geometries and skin factor concepts (Chapter 3); compressible oil and gas flow (Chapter 4); and non-horizontal flow using the flow potential concept (Chapter 5).

In Chapter 6, the pressure diffusivity equation is explored alongside key concepts of radius of investigation and average reservoir pressure. Chapter 7 delves into the …

A Big Data Approach To Modelling Urban Population Density Functions: From Monocentricity To Polycentricity, Cehong Luo, Yujie Hu, Fahui Wang

Faculty Publications

Urban studies have a long tradition of examining the regularity of urban structure by modelling urban population density functions and probing the theoretical or behavioural foundation behind it. Previous studies commonly used census data in areal units such as census tracts or census block groups, which varied a great deal in area size and shape and led to the zonal and scale effects, commonly referred to as the modifiable areal unit problem (MAUP). This study uses big data of individual vehicle trips in Tampa, Florida, to define the precise population and employment distribution locations, and then aggregates them with uniform …

Primary Processes Of Depolymerization Of Lignin Dispersed Into Gas Phase, Marwan Y. Rezk, Mohamad Barekati-Goudarzi, Divine Nde, Dorin Boldor, Slawomir Lomnicki, Stephania Cormier, Lavrent Khachatryan

Division of Basic Science Faculty Publications

The primary depolymerization processes of hydrolytic lignin (HL) are examined, focusing on the formation of intermediate oligomers and bulky environmentally persistent free radicals (EPFRs). Fragmentation of HL was conducted in a continuous atomization (CA) fast flow reactor, where HL, dissolved in a 9:1 acetone-to-water solution, was dispersed. Results indicated that HL fragmentation occurs significantly faster in the gas phase in comparison to the literature rate of formation of major biofuel-phenolic compounds. In other words, the formation of phenolic compounds occurs at much lower rate constants being the limiting stage for lignin depolymerization. The critical role of surface associated reactions for …

The Math Mind Measures: A User Guide, H. Colleen Sinclair, Stacey R. Terrio, Youn Kyoung Kim

Reports

The development of the Math Mind Measures survey originated from a research-practitioner partnership (RPP) project funded by The Gates Foundation (namely the R+D Partnership for Math Equity). As a part of the project, our team wanted to understand what contributes to math motivation in students. Unfortunately, when looking for instruments to assess motivation we could find little consensus on which motivational factor(s) mattered most and how to measure them.

Long forms: Consequently, we integrated and strengthened existing measures – where available – of 10 different motivational variables, developing a pool of 138 items. We call this collection of items the …

Convergence Of The Planewave Approximations For Quantum Incommensurate Systems, Ting Wang, Huajie Chen, Aihui Zhou, Yuzhi Zhou, Daniel Massatt

Faculty Publications

Incommensurate structures come from stacking the single layers of low dimensional materials on top of one another with misalignment such as a twist in orientation. While these structures are of significant physical interest, they pose many theoretical challenges due to the loss of periodicity. This paper studies the physical observables of continuum Schrodinger operators for incommensurate systems. We characterize the density of states and local density of states in real and reciprocal spaces, and develop novel numerical methods to approximate them. In particular, we (i) justify the thermodynamic limit of the density of states and local density of states via …

The Holomorphic Discrete Series Contribution To The Generalized Whittaker Plancherel Formula Ii. Non-Tube Type Groups, Jan Frahm, Gestur Ólafsson, Bent Ørsted

Faculty Publications

For every simple Hermitian Lie group G, we consider a certain maximal parabolic subgroup whose unipotent radical N is either abelian (if G is of tube type) or two-step nilpotent (if G is of non-tube type). By the generalized Whittaker Plancherel formula we mean the Plancherel decomposition of L²(G/N,ω), the space of square-integrable sections of the homogeneous vector bundle over G/N associated with an irreducible unitary representation ω of N. Assuming that the central character of ω is contained in a certain cone, we construct embeddings of all holomorphic discrete series representations of G into L²(G/N,ω) …

Realization Of Unitary Representations Of The Lorentz Group On De Sitter Space, Jan Frahm, Karl Hermann Neeb, Gestur Ólafsson

Faculty Publications

This paper builds on our previous work in which we showed that, for all connected semisimple linear Lie groups G acting on a non-compactly causal symmetric space M=G/H, every irreducible unitary representation of G can be realized by boundary value maps of holomorphic extensions in distributional sections of a vector bundle over M. In the present paper we discuss this procedure for the connected Lorentz group G=SO1,d(R)e acting on de Sitter space M=dS^d. We show in particular that the previously constructed nets of real subspaces satisfy the locality condition. Following ideas of Bros and Moschella from the 1990’s, …

Reservoir Engineering For Co₂ Storage: Fundamental & Practical Aspects, Mehdi Zeidouni

LSU Faculty-Published Books

Bridging the gap between carbon storage theory and petroleum engineering practice.

This comprehensive guide distills nearly two decades of research and teaching into a clear, application-focused resource on geological CO2 storage modeling, carbon capture and storage modeling (CCS modeling), and CO2 reservoir modeling—all tailored specifically for petroleum engineers.

While GCS modeling has historically been driven by physics, mathematics, and hydrogeology, petroleum engineering CO2 modeling often requires a different approach. This book translates complex, multidisciplinary CO2 geological modeling techniques into a unified, petroleum engineer–friendly framework. Whether your focus is CO2 sequestration engineering, enhanced oil recovery CO2 modeling, or transitioning from oil …

Finding Belonging: The Search For Comprehensive Measurements Of Student Belonging In Math, H. Colleen Sinclair, Katie Bainbridge, Andrew R. Burns

Reports

This report provides the background, methods, and findings of Phase One of the development of a new instrument to assess belonging in math. It includes a review of existing instruments, their evaluation, and integration. It also includes findings from a panel about perceptions of belonging in school-aged students. Contents include: 1) a comprehensive definition of belonging, 2) a listing of existing belonging instruments, 3) a multidimensional breakdown of belonging that accounts for context and perspective, 4) a list of belonging items from existing scales that met coder face validity assessments, and 5) a definitionally grounded recommended set of belonging items …

All-Electron Molecular Tunnel Ionization Based On The Weak-Field Asymptotic Theory In The Integral Representation, Imam S. Wahyutama, Denawakage D. Jayasinghe, François Mauger, Kenneth Lopata, Kenneth J. Schafer

Faculty Publications

Tunnel ionization (TI) underlies many important ultrafast processes, such as high-harmonic generation and strong-field ionization. Among the existing theories for TI, many-electron weak-field asymptotic theory (ME-WFAT) is by design capable of accurately treating many-electron effects in TI. An earlier version of ME-WFAT relied on an accurate representation of the asymptotic tail of the orbitals, which hindered its implementation in Gaussian-basis-set-based quantum chemistry programs. In this work, we reformulate ME-WFAT in the integral representation, which makes the quality of the asymptotic tail much less critical, hence greatly facilitating its implementation in standard quantum chemistry packages. The integral reformulation introduced here is …

Lsu General Catalog 2025-2026, Louisiana State University And Agricultural And Mechanical College

LSU General Catalog

The LSU General Catalog describes all undergraduate and graduate departments and programs with degree requirements and courses offered for each one. The LSU General Catalog includes information on registration and financial aid as well as academic services offered to all students.

Maximum Spread Of Ks,T-Minor-Free Graphs, William Linz, Linyuan Lu, Zhiyu Wang

Faculty Publications

The spread of a graph G is the difference between the largest and smallest eigenvalue of the adjacency matrix of G. In this paper, we consider the family of graphs which contain no Ks,t-minor. We show that for any t ≥ s ≥ 2 and sufficiently large n, there is an integer ξt such that the extremal n-vertex Ks,t-minor-free graph attaining the maximum spread is the graph obtained by joining a graph L on (s −1) vertices to the disjoint union of (Formula Presented) copies of Kt and (Formula Presented) isolated vertices. Furthermore, we give an explicit formula for ξt …

Hope For Louisiana’S Coast: From Catastrophic Loss To Transient Gain, Richard Condrey, Brian D. Marx, Frank Saforo, Rudy Bartels

Faculty Publications

Louisiana’s fifty-billion-dollar coastal restoration plan relies on selected interpretations of a small dataset of coastwide land measurements. In the 1990’s, the plan’s founders used a mathematically impossible interpretation of an improbable manipulation of the initial (1932-1990) dataset to justify their misconceptions regarding natural conditions; delta-switching; and a failing, 60-year restoration goal. In 2017, the dataset was updated to 2016 and used to suggest that land loss had slowed to -28 km2/yr (-1 football field/100 min) since 2010. We find that the dataset does not support this suggestion. Rather, we find the dataset supports our hypothesis that increasing precipitation in the …

Poromechanical Solution For One-Dimensional Large Strain Consolidation Of Modified Cam-Clay Soil, Sheng Li Chen, Hai Sui Yu, Younane N. Abousleiman, Christopher E. Kees

Faculty Publications

A theoretical model describing the one-dimensional large strain consolidation of the modified Cam-Clay soil is presented in this paper. The model is based on the Lagrangian formulation and is capable of featuring the variability of soil compressibility (inherently due to the direct incorporation of the specific Cam-Clay plasticity model) and permeability, as well as the impact of the overconsolidation ratio (OCR). The derivation starts from the establishment of the incremental stress–strain relations for both purely elastic and elastoplastic deformations under one-dimensional compression conditions, and thereafter the coefficients of compressibility/volume change that are essential to the consolidation analysis. The governing partial …

Physics-Informed Heterogeneous Spatiotemporal Graph Neural Network For Reservoir Simulation, Ahmed A.M.A. Abdullah

LSU Master's Theses

Reservoir simulation is the state-of-the-art method for predicting the flow of petroleum reservoir fluids in porous media. It provides an accurate and unbiased prediction of the performance of petroleum reservoirs under different operating conditions. Despite its advantages, reservoir simulation is computationally expensive; with typical full-field simulation models running for several hours. This limitation is worsened when simulating reservoirs with several equations for each cell, such as multiphysics or compositional reservoir simulation. The goal of this research is to provide a fast and accurate spatiotemporal machine-learning model that incorporates discretized governing mass balance equations for training. To achieve this, we propose …

Nanofabrication Of Tetraphenyl Porphyrin Surface Assemblies Linked With Tin Tetrachloride: A Scanning Probe Microscopy Investigation, Quynh Do

LSU Doctoral Dissertations

Scanning probe microscopy (SPM) and colloidal lithography methods were used to study the covalent coupling of porphyrins to surfaces. In this dissertation, experimental methods for SPM operation, techniques, and applications are described. Measurement of tip-sample interactions between a sharp tip and surface is translated into digital image data maps with x-, y-, and z-data. Colloidal lithography can be used to fabricate test platforms for AFM studies. The periodicity and arrangement of the designed nanostructures is determined by the size of the colloidal particles used for surface masks. Data processing is required to obtain images and topography information from raw AFM …

Addressing Agency In Intersectional Leadership: The Consequences Of Agentic Leader Behaviors For Black And White Men And Women In Leadership, Sydney Roux

LSU Master's Theses

As Black women gain representation in business and entrepreneurial leadership, it is important to consider how these women will be perceived as leaders. Role congruity theory (RCT) posits that women’s gender roles do not align with the leadership role which often negatively impacts leader evaluations. However, RCT is often employed without a racial context where women are presumed to be White, and thus, it is unclear if the same assumptions can be applied to Black women. Leadership scholars have identified the ways in which attributions and expectations of leaders are shaped by both demographic characteristics and behavioral events. Because Black …

Net Evaporation-Induced Mangrove Area Loss Across Low-Lying Caribbean Islands, Isamar M. Cortés, Jorge Lorenzo-Trueba, Andre S. Rovai, Robert R. Twilley, Mark Chopping, Temilola Fatoyinbo

Faculty Publications

Although mangroves provide many beneficial ecosystem services, such as blue carbon storage and coastal protection, they are currently under threat due to changes in climate conditions, such as prolonged drought exposure. Under drought conditions, evaporation exceeds precipitation and high soil salinities can lead to stunted growth and die-back. To quantify this interplay, we developed a database for low-lying and uninhabited mangrove islands in the Caribbean under various evaporation and precipitation regimes. We extracted physical and biological information from each island using remote sensing techniques and coupled it with a process-based model. We used this database to develop a model that …

A Temperature Tipping Point In Hypoxic Zone Size, R. Eugene Turner, Nancy N. Rabalais, Cassandra N. Glaspie

Faculty Publications

Temperature increases will have ubiquitous effects on aquatic food webs, from microbes to consumers, and affect the quality and quantity of carbon flows within and between water layers. A decline in the biological pump moving carbon from surface to lower layers is anticipated. We reviewed 37 years of data on hypoxic zone size and water quality in the northern Gulf of Mexico to determine if air and bottom water temperature increases (0.5°C decade⁻¹) are significantly related to variations in its areal size. There was no significant decline in important river water quality in the 24 years since the …

Detecting, Attributing, And Projecting Global Marine Ecosystem And Fisheries Change: Fishmip 2.0, Julia L. Blanchard, Camilla Novaglio, Olivier Maury, Cheryl S. Harrison, Colleen M. Petrik, Denisse Fierro-Arcos, Kelly Ortega-Cisneros, Andrea Bryndum-Buchholz, Tyler D. Eddy, Ryan Heneghan, Kelsey Roberts, Jacob Schewe, Daniele Bianchi, Jerome Guiet, P. Daniel Van Denderen, Juliano Palacios-Abrantes, Xiao Liu, Charles A. Stock, Yannick Rousseau, Matthias Büchner, Ezekiel O. Adekoya, Cathy Bulman, William Cheung, Villy Christensen, Marta Coll, Leonardo Capitani, Samik Datta, Elizabeth A. Fulton, Alba Fuster, Victoria Garza, Matthieu Lengaigne, Max Lindmark, Kieran Murphy

Faculty Publications

There is an urgent need for models that can robustly detect past and project future ecosystem changes and risks to the services that they provide to people. The Fisheries and Marine Ecosystem Model Intercomparison Project (FishMIP) was established to develop model ensembles for projecting long-term impacts of climate change on fisheries and marine ecosystems while informing policy at spatio-temporal scales relevant to the Inter-Sectoral Impact Model Intercomparison Project (ISIMIP) framework. While contributing FishMIP models have improved over time, large uncertainties in projections remain, particularly in coastal and shelf seas where most of the world's fisheries occur. Furthermore, previous FishMIP climate …

Sex Differences In Interacting Genetic And Functional Connectivity Biomarkers In Alzheimer’S Disease, Jordan N. Williamson, Shirley A. James, Sean P. Mullen, Bradley P. Sutton, Tracey Wszalek, Beni Mulyana, Peter Mukli, Andriy Yabluchanskiy, Balebail Ashok Raj, Kristin Fargher, Amanda Smith, Lisa Raudin, Gloria Chaing, Norman Relkin, Karen Elizabeth Smith, Hyungsub Shim, Laura L.Boles Ponto, Susan K. Schultz, Antero Sarrael, Raymundo Hernando, Nunzio Pomara, Dick Drost, Andrew Kertesz, John Rogers, Irina Rachinsky, Stephen Pasternak, Elizabether Finger, David Bachman, Kenneth Spicer, Jacobo Mintzer, Bruce L. Miller, Howard J. Rosen, Stephen Correia, Paul Malloy

Clinical Research Faculty Publications

As of 2023, it is estimated that 6.7 million individuals in the United States live with Alzheimer’s disease (AD). Prior research indicates that AD disproportionality affects females; females have a greater incidence rate, perform worse on a variety of neuropsychological tasks, and have greater total brain atrophy. Recent research shows that hippocampal functional connectivity differs by sex and may be related to the observed sex differences in AD, and apolipoprotein E (ApoE) ε4 carriers have reduced hippocampal functional connectivity. The purpose of this study was to determine if the ApoE genotype plays a role in the observed sex differences in …

Periodic Gamma-Ray Modulation Of The Blazar Pg 1553+113 Confirmed By Fermi-Lat And Multiwavelength Observations, S. Abdollahi, L. Baldini, G. Barbiellini, R. Bellazzini, B. Berenji, E. Bissaldi, R. D. Blandford, R. Bonino, P. Bruel, S. Buson, R. A. Cameron, P. A. Caraveo, F. Casaburo, E. Cavazzuti, C. C. Cheung, G. Chiaro, S. Ciprini, G. Cozzolongo, P. Cristarella Orestano, S. Cutini, F. D’Ammando, N. Di Lalla, F. Dirirsa, L. Di Venere, A. Domínguez, S. J. Fegan, E. C. Ferrara, A. Fiori, Y. Fukazawa, S. Funk, P. Fusco, F. Gargano, S. Garrappa

Faculty Publications

A 2.1 yr periodic oscillation of the gamma-ray flux from the blazar PG 1553+113 has previously been tentatively identified in ∼7 yr of data from the Fermi Large Area Telescope. After 15 yr of Fermi sky-survey observations, doubling the total time range, we report >7 cycle gamma-ray modulation with an estimated significance of 4σ against stochastic red noise. Independent determinations of oscillation period and phase in the earlier and the new data are in close agreement (chance probability < 0.01). Pulse timing over the full light curve is also consistent with a coherent periodicity. Multiwavelength new data from Swift X-Ray Telescope, Burst Alert Telescope, and UVOT, and from KAIT, Catalina Sky Survey, All-Sky Automated Survey for Supernovae, and Owens Valley Radio Observatory ground-based observatories as well as archival Rossi X-Ray Timing Explorer satellite-All Sky Monitor data, published optical data of Tuorla, and optical historical Harvard plates data are included in our work. Optical and radio light curves show clear correlations with the gamma-ray modulation, possibly with a nonconstant time lag for the radio flux. We interpret the gamma-ray periodicity as possibly arising from a pulsational accretion flow in a sub-parsec binary supermassive black hole system of elevated mass ratio, with orbital modulation of the supplied material and energy in the jet. Other astrophysical scenarios introduced include instabilities, disk and jet precession, rotation or nutation, and perturbations by massive stars or intermediate-mass black holes in polar orbit.

Global Well-Posedness For Supercritical Sqg With Perturbations Of Radially Symmetric Data, Aynur Bulut, Hongjie Dong

Faculty Publications

We study the global well-posedness of the supercritical dissipative surface quasi-geostrophic (SQG) equation, a key model in geophysical fluid dynamics. While local well-posedness is known, achieving global well-posedness for large initial data remains open. Motivated by enhanced decay in radial solutions, we aim to establish global well-posedness for small perturbations of potentially large radial data. Our main result shows that for small perturbations of radial data, the SQG equation admits a unique global solution.

Cgbi_Yolo: Lightweight Land Target Detection Network, Ruiyang Wang, Siyu Lu, Jiawei Tian, Lirong Yin, Lei Wang, Xiaobing Chen, Wenfeng Zheng

Faculty Publications

Object detection algorithms for optical remote sensing images often face challenges in computational efficiency, particularly when detecting small and densely packed targets. This paper introduces CGBi_YOLO, a novel lightweight land target detection network designed to optimize computational resource utilization while maintaining detection capabilities for small-scale targets. Our approach incorporates an innovative lightweight optimization strategy featuring a new lightweight backbone feature extraction network: CSPGhostNet. This model significantly enhances the detection ability of small objects within optical remote sensing images without increasing computational demands. The efficacy of the proposed model is validated through rigorous experimentation on the DOTA dataset. Compared to the …

Research Overview On Urban Heat Islands Driven By Computational Intelligence, Chao Liu, Siyu Lu, Jiawei Tian, Lirong Yin, Lei Wang, Wenfeng Zheng

Faculty Publications

In recent years, the intensification of the urban heat island (UHI) effect has become a significant concern as urbanization accelerates. This survey comprehensively explores the current status of surface UHI research, emphasizing the role of land use and land cover changes (LULC) in urban environments. We conducted a systematic review of 8260 journal articles from the Web of Science database, employing bibliometric analysis and keyword co-occurrence analysis using CiteSpace to identify research hotspots and trends. Our investigation reveals that vegetation cover and land use types are the two most critical factors influencing UHI intensity. We analyze various computational intelligence techniques, …

Understanding Mechanisms For Coastal Marsh Sustainability In A Changing Climate, Ashley R. Booth

LSU Doctoral Dissertations

In the Chenier Plain of Louisiana and Texas, coastal marshes are subject to high rates of relative sea level rise (RSLR), restricted sedimentation, and declining elevation attributed to subsidence and decades of intensive management. These marshes were created via mineral sedimentation but now largely accrete via organic matter accumulation. This organic matter accumulation (OMA) – or the balance between plant productivity and decomposition – is essential for maintaining elevation and thus long-term sustainability. However, management for elevation is complicated by a poor understanding of how abiotic factors like flooding and salinity impact processes driving OMA and elevation. To better understand …