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Integration By Parts Formula On Solutions To Stochastic Differential Equations With Jumps On Riemannian Manifolds, Hirotaka Kai, Atsushi Takeuchi Aug 2021

Integration By Parts Formula On Solutions To Stochastic Differential Equations With Jumps On Riemannian Manifolds, Hirotaka Kai, Atsushi Takeuchi

Journal of Stochastic Analysis

No abstract provided.


On The Exponential Moments Of Additive Processes, Tsukasa Fujiwara Aug 2021

On The Exponential Moments Of Additive Processes, Tsukasa Fujiwara

Journal of Stochastic Analysis

No abstract provided.


Ergodicity Of Burgers' System, Szymon Peszat, Krystyna Twardowska, Jerzy Zabczyk Aug 2021

Ergodicity Of Burgers' System, Szymon Peszat, Krystyna Twardowska, Jerzy Zabczyk

Journal of Stochastic Analysis

No abstract provided.


Two Of Kunita's Papers On Stochastic Flows In Early 1980s, Setsuo Taniguchi Aug 2021

Two Of Kunita's Papers On Stochastic Flows In Early 1980s, Setsuo Taniguchi

Journal of Stochastic Analysis

No abstract provided.


Rigid Connections On The Projective Line With Elliptic Toral Singularities, Alisina Azhang Aug 2021

Rigid Connections On The Projective Line With Elliptic Toral Singularities, Alisina Azhang

LSU Doctoral Dissertations

We generalize two studies of rigid $G$-connections on $\pp$ which have an irregular singularity at origin and a regular singularity at infinity with unipotent monodromy: one is the work of Kamgarpour-Sage which classifies rigid homogeneous Coxeter $G$-connections with slope $\frac{r}{h}$, where $h$ is the Coxeter number of $G$, and the other is the work of Chen, which proves the existence of rigid homogeneous elliptic regular $G$-connections with slope $\frac{1}{m}$, where $m$ is an elliptic number for $G$. In our work, similar to Chen, we look for rigid homogeneous elliptic regular $G$-connections, but we allow the slope to have a numerator …


Patterns And Drivers Of Introgression In Louisiana's Largemouth Bass (Micropterus Salmoides) Stocks, Colleen E. Walsh Aug 2021

Patterns And Drivers Of Introgression In Louisiana's Largemouth Bass (Micropterus Salmoides) Stocks, Colleen E. Walsh

LSU Master's Theses

In the southeastern U.S., populations of the popular sportfish Largemouth Bass (Micropterus salmoides; LMB) are often stocked with Florida Largemouth Bass (Micropterus salmoides floridanus; FLMB) to develop FLMB ancestry in systems north of its native peninsular Florida range, with the ultimate goal of creating trophy fisheries. Stock enhancement through introgression of FLMB ancestry can increase maximum potential size and growth in receiving populations, potentially through hybrid vigor of intergrade subspecies. We collected 60 fish and habitat data from six Louisiana lakes from 2018-2020 (N=360), quantified level of introgression of FLMB with fragment analysis at 12 microsatellite loci confirmed for subspecific …


Electromagnetic Transitions And Beta Decays In Nuclei From The Ab Initio Symmetry-Adapted No-Core Shell Model, Grigor Sargsyan Aug 2021

Electromagnetic Transitions And Beta Decays In Nuclei From The Ab Initio Symmetry-Adapted No-Core Shell Model, Grigor Sargsyan

LSU Doctoral Dissertations

Nuclear physics today is a diverse field, involving research that extends from the minus- cule scales of neutrons and protons to the colossal dimensions of astrophysical objects in the universe. And since the ab initio methods in nuclear physics use realistic internucleon interactions, nuclear modeling has gained predictive capabilities that enable us to probe ever more deeply into the fundamental nature of matter. One of these models – the symmetry- adapted no-core shell model (SA-NCSM) – is capable of reaching the medium-mass region of the chart of the nuclides, by exploiting the emergent symmetries of nuclei, and is therefore well-suited …


The Emergence Of The Legitimacy Of Religious Healing Knowledge In Taiwan, Wei-Cheng Chiu Aug 2021

The Emergence Of The Legitimacy Of Religious Healing Knowledge In Taiwan, Wei-Cheng Chiu

LSU Doctoral Dissertations

This dissertation investigates how religious healing knowledge has been defined and used by scholars, physicians, and New Agers and how religious healing knowledge emerged as a legitimate area of knowledge in Taiwan. The key position of religious healing knowledge within the entanglement between religion and spirituality is also examined. After the martial law was lifted in 1987, Taiwan’s society had rapidly diversified, and its religions were at the transition point between the old and the new. Meanwhile, the new spirituality culture was introduced into Taiwan in the 1980s and got popular in the 1990s, and it inherited the trend of …


Error Estimates For Discrete Approximations Of Game Options With Multivariate Diffusion Asset Prices, Yuri Kifer Aug 2021

Error Estimates For Discrete Approximations Of Game Options With Multivariate Diffusion Asset Prices, Yuri Kifer

Journal of Stochastic Analysis

No abstract provided.


Three Learning Contexts As Paths To Preservice Instrumental Music Teachers' Score Analysis, Rehearsal Planning, And Instructional Readiness: An Exploratory Study In Professional Development, Jennifer Lee Pulling Aug 2021

Three Learning Contexts As Paths To Preservice Instrumental Music Teachers' Score Analysis, Rehearsal Planning, And Instructional Readiness: An Exploratory Study In Professional Development, Jennifer Lee Pulling

LSU Doctoral Dissertations

Despite an abundance of evidence-based research pointing to the effectiveness of long-term teacher professional development (PD) (Darling-Hammond, Hyler & Gardner, 2017; Desimone, 2009), instrumental music teachers who seek to improve their teaching practices are limited to and often prefer short-term PD opportunities (Bauer, 2007; West, 2020). In recent years, a growing knowledge base focused on music teacher PD has given attention to long-term, content-based and collaborative music PD (Conway, 2015; Kastner, 2014; Stanley, Snell & Edgar, 2014) while a dearth of evidence-based research exists on short-term music PD (Bauer, 2007; West, 2020). The purpose of this collective case study was …


Using Performance Cues As A Memorization Strategy With Group Piano Students By Implementing Teacher And Student-Directed Learning Approaches, Maria Eduarda Lucena Vieira Aug 2021

Using Performance Cues As A Memorization Strategy With Group Piano Students By Implementing Teacher And Student-Directed Learning Approaches, Maria Eduarda Lucena Vieira

LSU Doctoral Dissertations

Multiple researchers have explored the use of performance cues in memorization for music students, suggesting that it is an effective method for memorization (Chaffin & Imreh, 2002; Gerling & Dos Santos, 2017; Hallam et al., 2008). Based on the current literature about the use of memorization strategies, researchers have found a method of a secure, solid, and effective technique called Performance Cues (Chaffin & Imreh, 2002; Hallam et al, 2008). When working with students, the teacher can guide them with steps to understand how the music works and help them to find a secure memorization process where they will feel …


Laser Surface Treatment And Laser Powder Bed Fusion Additive Manufacturing Study Using Custom Designed 3d Printer And The Application Of Machine Learning In Materials Science, Hao Wen Aug 2021

Laser Surface Treatment And Laser Powder Bed Fusion Additive Manufacturing Study Using Custom Designed 3d Printer And The Application Of Machine Learning In Materials Science, Hao Wen

LSU Doctoral Dissertations

Selective Laser Melting (SLM) is a laser powder bed fusion (L-PBF) based additive manufacturing (AM) method, which uses a laser beam to melt the selected areas of the metal powder bed. A customized SLM 3D printer that can handle a small quantity of metal powders was built in the lab to achieve versatile research purposes. The hardware design, electrical diagrams, and software functions are introduced in Chapter 2. Several laser surface engineering and SLM experiments were conducted using this customized machine which showed the functionality of the machine and some prospective fields that this machine can be utilized. Chapter 3 …


Effects Of Structure, Crystallographic Orientation, And Dimensionality On Emergent Properties Of Transition Metal Oxide Thin Films, Prahald Siwakoti Aug 2021

Effects Of Structure, Crystallographic Orientation, And Dimensionality On Emergent Properties Of Transition Metal Oxide Thin Films, Prahald Siwakoti

LSU Doctoral Dissertations

SrRuO3 is the only example of ferromagnetic perovskite oxide of a 4d transition metal, wherein the electron -electron correlation is still relevant while the heavier 4d ion (Ru) gives it a larger spin-orbit coupling strength which makes it an interesting material to study. In this thesis, we present our investigation of the structure and properties of SrRuO3 thin films of varying thickness grown on [001] and [111] crystallographic orientation of the SrTiO3 substrate. For SrRuO3(001), we present microscopically the presence of 90◦ in-plane rotated structural domains that are identified by the difference in octahedral rotations and …


Hessian Formulas And Estimates For Parabolic Schrödinger Operators, Xue-Mei Li Aug 2021

Hessian Formulas And Estimates For Parabolic Schrödinger Operators, Xue-Mei Li

Journal of Stochastic Analysis

No abstract provided.


Remembering Kunita-San, Ken-Iti Sato Aug 2021

Remembering Kunita-San, Ken-Iti Sato

Journal of Stochastic Analysis

No abstract provided.


Assessment Of Risks To Listed Species From The Use Of Atrazine In The Usa: A Perspective, Philip N. Smith, Kevin L. Armbrust, Richard A. Brain, Wenlin Chen, Nika Galic, Lula Ghebremichael, Jeffrey M. Giddings, Mark L. Hanson, Jonathan Maul, Glen Van Der Kraak, Keith R. Solomon Aug 2021

Assessment Of Risks To Listed Species From The Use Of Atrazine In The Usa: A Perspective, Philip N. Smith, Kevin L. Armbrust, Richard A. Brain, Wenlin Chen, Nika Galic, Lula Ghebremichael, Jeffrey M. Giddings, Mark L. Hanson, Jonathan Maul, Glen Van Der Kraak, Keith R. Solomon

Faculty Publications

No abstract provided.


Indicators Of Senescence And Their Relationship With The Antioxidant Response Element In Ovarian Cancer Cells—Toward A More Encompassing View Of Enzyme Activity Levels In Cells, Shaniqua Analycia Hayes Aug 2021

Indicators Of Senescence And Their Relationship With The Antioxidant Response Element In Ovarian Cancer Cells—Toward A More Encompassing View Of Enzyme Activity Levels In Cells, Shaniqua Analycia Hayes

LSU Doctoral Dissertations

Enzymes and other related proteins are promising targets as biomarkers for cancer diagnostics, and it is therefore important to be able to quantify intracellular enzyme activity levels, not just presence of enzyme. Thus, there is a great need for the development of methods that offer spatiotemporal quantification of intracellular enzyme activity levels in respiring 2- and 3-dimensional cultures or their sample-processed variants. Previous studies have demonstrated that ß-gal is upregulated in senescence and in select ovarian cancers, and its expression/activity is upregulated when cells are under oxidative stress conditions. To that end, the primary goal of this work was to …


Learning To Interpret Fluid Type Phenomena Via Images, Simron Thapa Aug 2021

Learning To Interpret Fluid Type Phenomena Via Images, Simron Thapa

LSU Doctoral Dissertations

Learning to interpret fluid-type phenomena via images is a long-standing challenging problem in computer vision. The problem becomes even more challenging when the fluid medium is highly dynamic and refractive due to its transparent nature. Here, we consider imaging through such refractive fluid media like water and air. For water, we design novel supervised learning-based algorithms to recover its 3D surface as well as the highly distorted underground patterns. For air, we design a state-of-the-art unsupervised learning algorithm to predict the distortion-free image given a short sequence of turbulent images. Specifically, we design a deep neural network that estimates the …


Dirac-Born-Infeld Warm Inflation Realization In The Strong Dissipation Regime, Meysam Motaharfar, Rudnei O. Ramos Aug 2021

Dirac-Born-Infeld Warm Inflation Realization In The Strong Dissipation Regime, Meysam Motaharfar, Rudnei O. Ramos

Faculty Publications

We consider warm inflation with a Dirac-Born-Infeld (DBI) kinetic term in which both the non-equilibrium dissipative particle production and the sound speed parameter slow the motion of the inflaton field. We find that a low sound speed parameter removes, or at least strongly suppresses, the growing function appearing in the scalar of curvature power spectrum of warm inflation, which appears due to the temperature dependence in the dissipation coefficient. As a consequence of that, a low sound speed helps to push warm inflation into the strong dissipation regime, which is an attractive regime from a model building and phenomenological perspective. …


The Life And Scientific Work Of Hiroshi Kunita, Yasushi Ishikawa Aug 2021

The Life And Scientific Work Of Hiroshi Kunita, Yasushi Ishikawa

Journal of Stochastic Analysis

No abstract provided.


Palynology And Paleoclimatology Of The Chicxulub Impact Crater In The Early Paleogene, Vann Smith Aug 2021

Palynology And Paleoclimatology Of The Chicxulub Impact Crater In The Early Paleogene, Vann Smith

LSU Doctoral Dissertations

At the end of the Cretaceous Period, a large bolide impacted the Earth and formed the Chicxulub impact crater in the Yucatán Peninsula, Mexico. In 2016, International Ocean Discovery Program (IODP) Expedition 364 Site M0077 drilled into the buried peak ring of the crater, recovering a marine Paleocene to early Eocene post-impact section deposited on top of the impact breccia. Palynological analysis of 195 samples from the post-impact section has yielded the first pre-Holocene vegetational record from inside the Chicxulub impact crater and the first palynological record of the recovery of life following the end-Cretaceous mass extinction from inside the …


Memories Of Professor Hiroshi Kunita, Ichiro Shigkeawa Aug 2021

Memories Of Professor Hiroshi Kunita, Ichiro Shigkeawa

Journal of Stochastic Analysis

No abstract provided.


On The Works Of Hiroshi Kunita In The Sixties, Masatoshi Fukushima Aug 2021

On The Works Of Hiroshi Kunita In The Sixties, Masatoshi Fukushima

Journal of Stochastic Analysis

No abstract provided.


Personal Memories Of Hiroshi Kunita, David Elworthy Aug 2021

Personal Memories Of Hiroshi Kunita, David Elworthy

Journal of Stochastic Analysis

No abstract provided.


Preface, Shigeki Aida, David Applebaum, Yasushi Ishikawa, Arturo Kohatsu-Higa, Nicolas Privault Aug 2021

Preface, Shigeki Aida, David Applebaum, Yasushi Ishikawa, Arturo Kohatsu-Higa, Nicolas Privault

Journal of Stochastic Analysis

No abstract provided.


Spatiotemporal Trends And Variability In The Centroid Of The Northern Hemisphere's Circumpolar Vortex, Nazla Bushra, Robert V. Rohli Aug 2021

Spatiotemporal Trends And Variability In The Centroid Of The Northern Hemisphere's Circumpolar Vortex, Nazla Bushra, Robert V. Rohli

Faculty Publications

Recent previous research has established the "sharpest gradient" approach to defining the circumpolar vortex and has identified correlations of the area and circularity of the Northern Hemisphere's circumpolar vortex (NHCPV) to important atmospheric-oceanic teleconnections. However, because geographical shifts in the NHCPV, independent of area or circularity changes, could affect surface environmental conditions, this research addresses the question of the extent to which the NHCPV centroid undergoes such shifts, both intra- and inter-annually. Results show that during the 1979-2017 period, the centroid has moved less on a daily basis in more recent years, perhaps indicative of a stabilization in circulation, with …


Symmetric Distinguishability As A Quantum Resource, Robert Salzmann, Nilanjana Datta, Gilad Gour, Xin Wang, Mark M. Wilde Aug 2021

Symmetric Distinguishability As A Quantum Resource, Robert Salzmann, Nilanjana Datta, Gilad Gour, Xin Wang, Mark M. Wilde

Faculty Publications

We develop a resource theory of symmetric distinguishability, the fundamental objects of which are elementary quantum information sources, i.e. sources that emit one of two possible quantum states with given prior probabilities. Such a source can be represented by a classical-quantum state of a composite system XA, corresponding to an ensemble of two quantum states, with X being classical and A being quantum.We study the resource theory for two different classes of free operations: (i)CPTPA, which consists of quantum channels acting only on A, and (ii) conditional doubly stochastic maps acting on XA.We introduce the notion of symmetric distinguishability of …


Honeycomb Structures In Magnetic Fields, Becker Simon, Rui Han, Svetlana Jitomirskaya, Maciej Zworski Aug 2021

Honeycomb Structures In Magnetic Fields, Becker Simon, Rui Han, Svetlana Jitomirskaya, Maciej Zworski

Faculty Publications

We consider the nearest-neighbour tight binding model of the honeycomb lattice in magnetic fields and discover surprizing new analytical results that fully explain fractal spectra and experimentally observed asymmetries in the density of states of molecular graphene.We describe a fractal Cantor spectrum for irrational magnetic flux through a honeycomb, and establish the existence of zero energy Dirac cones for each rational flux with fully explicit estimates on the cone angle. Our results give a substantially more refined description of subtleties in the de Haas-van Alphen and quantum Hall effects, and provide the first quantitative bounds on transport coefficients for the …


Reducible Fermi Surface For Multi-Layer Quantum Graphs Including Stacked Graphene, Lee Fisher, Wei Li, Stephen P. Shipman Aug 2021

Reducible Fermi Surface For Multi-Layer Quantum Graphs Including Stacked Graphene, Lee Fisher, Wei Li, Stephen P. Shipman

Faculty Publications

We construct two types of multi-layer quantum graphs (Schrödinger operators on metric graphs) for which the dispersion function of wave vector and energy is proved to be a polynomial in the dispersion function of the single layer. This leads to the reducibility of the algebraic Fermi surface, at any energy, into several components. Each component contributes a set of bands to the spectrum of the graph operator. When the layers are graphene, AA-, AB-, and ABC-stacking are allowed within the same multi-layer structure. One of the tools we introduce is a surgery-type calculus for obtaining the dispersion function for a …


An Adaptive Data-Driven Controller For Underwater Manipulators With Variable Payload, Ignacio Carlucho, Dylan W. Stephens, Corina Barbalata Aug 2021

An Adaptive Data-Driven Controller For Underwater Manipulators With Variable Payload, Ignacio Carlucho, Dylan W. Stephens, Corina Barbalata

Faculty Publications

The underwater environment poses a complex problem for developing control systems for underwater manipulators. Modeling the system is a complicated and costly process due to the highly nonlinear dynamics and the presence of unknown hydrodynamical effects. Furthermore, manipulators are usually deployed on Autonomous Underwater Vehicles (AUVs) which further influence and change the dynamics of the arm. This is aggravated in underwater operations where manipulating different objects is necessary. These diverse manipulation tasks introduce external disturbances to the system and can lead to a fast degradation of the control system performance. In this article, we propose a novel adaptive controller for …