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Politics And Religion During The Rise And Reign Of Anne Boleyn, Megan E. Scherrer Jul 2019

Politics And Religion During The Rise And Reign Of Anne Boleyn, Megan E. Scherrer

LSU Master's Theses

During the 1520s and 1530s England endured a tumultuous time of drastic political change and religious reform. At the heart of it all was Anne Boleyn, whose relationship with King Henry VIII launched the English Reformation and the Royal Supremacy, and whose tragic end became a story passed down through the current day. This work examines Anne’s life, particularly her religion and influence in politics, and the figures who shone and dimmed as she came to power and once she lost everything. Some of the most significant of these figures include Cardinal Thomas Wolsey, Sir Thomas More, Thomas Cromwell, Hugh …

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Agricultural Education Teachers' Perceptions And Use Of Environmental Education In Louisiana Schools, Olivia M. Soler Jul 2019

Agricultural Education Teachers' Perceptions And Use Of Environmental Education In Louisiana Schools, Olivia M. Soler

LSU Master's Theses

The purpose of this study was to describe the status of environmental education (EE) in Louisiana high school agriculture classrooms. A census of Louisiana Agriscience Teacher Association (LATA) members was conducted to understand their perceptions, attitudes, and barriers regarding EE implementation. Icek Ajzen’s Theory of Planned Behavior was utilized as the theoretical framework. Data were collected through an online survey research method and analyzed using descriptive statistics. Results suggest that most LATA members incorporate EE into their curriculum relatively sparingly, perceive EE to be beneficial for students, and are in need of funding to incorporate EE into their curriculum as …

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High Performance Fuzz Testing Of Memory Forensics Frameworks, Arian Dokht Shahmirza Jul 2019

High Performance Fuzz Testing Of Memory Forensics Frameworks, Arian Dokht Shahmirza

LSU Master's Theses

The analysis of the volatile memory (RAM) of a computer system, known as memory forensics, is a critical component of modern digital forensics investigations. Since the evidence provided by memory forensics is vital, it is necessary for there to be automated solutions that implement the analysis. Volatility is the most widely used memory forensics framework and also contains the most functionality of all tools publicly available. Volatility, as well as all other memory forensics frameworks, are extremely complex software systems as they must parse a substantial number of in-memory data structures and their associated values. Given the reliance on memory …

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Competitive Reversal Between Plant Species Is Driven By Species‐Specific Tolerance To Flooding Stress And Nutrient Acquisition During Early Marsh Succession, Andrew Muench, Tracy Elsey‐Quirk, Zhongling Yang Jul 2019

Competitive Reversal Between Plant Species Is Driven By Species‐Specific Tolerance To Flooding Stress And Nutrient Acquisition During Early Marsh Succession, Andrew Muench, Tracy Elsey‐Quirk, Zhongling Yang

Faculty Publications

No abstract provided.

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Improving The Transferability Of Suspended Solid Estimation In Wetland And Deltaic Waters With An Empirical Hyperspectral Approach, Daniel Jensen, Marc Simard, Kyle Cavanaugh, Yongwei Sheng, Cédric G. Fichot, Tamlin Pavelsky, Robert Twilley Jul 2019

Improving The Transferability Of Suspended Solid Estimation In Wetland And Deltaic Waters With An Empirical Hyperspectral Approach, Daniel Jensen, Marc Simard, Kyle Cavanaugh, Yongwei Sheng, Cédric G. Fichot, Tamlin Pavelsky, Robert Twilley

Faculty Publications

The deposition of suspended sediment is an important process that helps wetlands accrete surface material and maintain elevation in the face of sea level rise. Optical remote sensing is often employed to map total suspended solids (TSS), though algorithms typically have limited transferability in space and time due to variability in water constituent compositions, mixtures, and inherent optical properties. This study used in situ spectral reflectances and their first derivatives to compare empirical algorithms for estimating TSS using hyperspectral and multispectral data. These algorithms were applied to imagery collected by NASA’s Airborne Visible/Infrared Imaging Spectrometer-Next Generation (AVIRIS-NG) over coastal Louisiana, …

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Improving Prediction Accuracy In Building Performance Models Using Generative Adversarial Networks (Gans), Chanachok Chokwitthaya, Edward Collier, Yimin Zhu, Supratik Mukhopadhyay Jul 2019

Improving Prediction Accuracy In Building Performance Models Using Generative Adversarial Networks (Gans), Chanachok Chokwitthaya, Edward Collier, Yimin Zhu, Supratik Mukhopadhyay

Faculty Publications

Building performance discrepancies between building design and operation are one of the causes that lead many new designs fail to achieve their goals and objectives. A main factor contributing to the discrepancy is occupant behaviors. Occupants responding to a new design are influenced by several factors. Existing building performance models (BPMs) ignore or partially address those factors (called contextual factors) while developing BPMs. To potentially reduce the discrepancies and improve the prediction accuracy of BPMs, this paper proposes a computational framework for learning mixture models by using Generative Adversarial Networks (GANs) that appropriately combining existing BPMs with knowledge on occupant …

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Improving Route Choice Models By Incorporating Contextual Factors Via Knowledge Distillation, Qun Liu, Supratik Mukhopadhyay, Yimin Zhu, Ravindra Gudishala, Sanaz Saeidi, Alimire Nabijiang Jul 2019

Improving Route Choice Models By Incorporating Contextual Factors Via Knowledge Distillation, Qun Liu, Supratik Mukhopadhyay, Yimin Zhu, Ravindra Gudishala, Sanaz Saeidi, Alimire Nabijiang

Faculty Publications

Route Choice Models predict the route choices of travelers traversing an urban area. Most of the route choice models link route characteristics of alternative routes to those chosen by the drivers. The models play an important role in prediction of traffic levels on different routes and thus assist in development of efficient traffic management strategies that result in minimizing traffic delay and maximizing effective utilization of transport system. High fidelity route choice models are required to predict traffic levels with higher accuracy. Existing route choice models do not take into account dynamic contextual conditions such as the occurrence of an …

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Synthesis And Characterization Of Polylactide-Pamam “Janus-Type” Linear-Dendritic Hybrids, Indika Chandrasiri, Daniel G. Abebe, Sudipta Gupta, Jon Steven Dal Williams, William D. Rieger, Briana L. Simms, Mahesh Loku Yaddehige, Ye Rim Noh, Molly E. Payne, Alexander W. Fortenberry, Adam E. Smith, Jan Ilavsky, Scott M. Grayson, Gerald J. Schneider, Davita L. Watkins Jul 2019

Synthesis And Characterization Of Polylactide-Pamam “Janus-Type” Linear-Dendritic Hybrids, Indika Chandrasiri, Daniel G. Abebe, Sudipta Gupta, Jon Steven Dal Williams, William D. Rieger, Briana L. Simms, Mahesh Loku Yaddehige, Ye Rim Noh, Molly E. Payne, Alexander W. Fortenberry, Adam E. Smith, Jan Ilavsky, Scott M. Grayson, Gerald J. Schneider, Davita L. Watkins

Faculty Publications

© 2019 Wiley Periodicals, Inc. Herein, we present a facile and comprehensive synthetic methodology for the preparation of polyester-polyamidoamine (PAMAM) (i.e., polyester: polylactide [PLA] (hydrophobic) and polyamidoamine, PAMAM [hydrophilic]) polymers. A library of PLA-PAMAM linear dendritic block copolymers (LDBCs) in which both l and d, l polylactide were employed in mass ratios of 30:70, 50:50, 70:30, and 90:10 (PLA:PAMAM) were synthesized and analyzed. When placed in aqueous media, the immiscibility of the hydrophilic and hydrophobic segments leads to nanophase-segregation exhibited as the formation of aggregates (e.g., vesicles, worms, and/or micelles). By employing both stereochemical configurations of PLA, the differentiation in …

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Temporal And Spatial Dynamics Of Competitive Parapatry In Chewing Lice, Mark S. Hafner Jul 2019

Temporal And Spatial Dynamics Of Competitive Parapatry In Chewing Lice, Mark S. Hafner

Faculty Publications

We synthesize observations from 1979 to 2016 of a contact zone involving two subspecies of pocket gophers (Thomomys bottae connectens and T. b. opulentus) and their respective chewing lice (Geomydoecus aurei and G. centralis) along the Rio Grande Valley in New Mexico, U.S.A., to test predictions about the dynamics of the zone. Historically, the natural flood cycle of the Rio Grande prevented contact between the two subspecies of pocket gophers. Flood control measures completed in the 1930s permitted contact, thus establishing the hybrid zone between the pocket gophers and the contact zone between their lice (without hybridization). Since that time, …

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Opportunities And Challenges Addressing Access To Healthy Food In Five Rural Louisiana Food Stores, Michelle Kendall, Stephanie T. Broyles, Jamila Freightman, Melissa Cater, Denise Holston Jul 2019

Opportunities And Challenges Addressing Access To Healthy Food In Five Rural Louisiana Food Stores, Michelle Kendall, Stephanie T. Broyles, Jamila Freightman, Melissa Cater, Denise Holston

Faculty Publications

© 2019 Centers for Disease Control and Prevention (CDC). The prevalence of high obesity in rural communities may result from low access to healthy foods. To improve the local food environment, a multicomponent environmental food store intervention was implemented in 3 Louisiana parishes where obesity prevalence was greater than 40%. The intervention consisted of healthyfood demonstrations, in-store marketing, and encouraging store owners to stock healthy items. We documented aspects of the rural food store climate, such as store size and the store owner's willingness to stock healthy items, that affect improving access to healthy food. We found that although the …

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Cost-Effective Methods To Retrofit Metal Culverts Using Composites, Mahmoud Reda Taha, Susan Bogus Halter Jul 2019

Cost-Effective Methods To Retrofit Metal Culverts Using Composites, Mahmoud Reda Taha, Susan Bogus Halter

Data

One of the current pressing problems for all DOTs is the corrosion-oriented deterioration of existing metal culverts. These metal culverts typically are designed for a life of 50 years. However, corrosion is making them last no longer than 30 years. A Glass Fiber Reinforced Polymers (GFRP) pipe section has been evaluated as a fit-in GFRP profile liner for complete repair and rehabilitation of the corroded metal culvert with an expected life of 75 years. This is mainly because of the corrosion free nature of the GFRP material. A comprehensive rehabilitation methodology and laboratory scale three-point bending test was conducted to …

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Maternal Childhood And Lifetime Traumatic Life Events And Infant Bronchiolitis, Margaret A. Adgent, Omar Elsayed-Ali, Tebeb Gebretsadik, Frances A. Tylavsky, Mehmet Kocak, Stephania A. Cormier, Rosalind J. Wright, Kecia N. Carroll Jul 2019

Maternal Childhood And Lifetime Traumatic Life Events And Infant Bronchiolitis, Margaret A. Adgent, Omar Elsayed-Ali, Tebeb Gebretsadik, Frances A. Tylavsky, Mehmet Kocak, Stephania A. Cormier, Rosalind J. Wright, Kecia N. Carroll

Faculty Publications

© 2019 John Wiley & Sons Ltd Background: Viral bronchiolitis is a common respiratory infection that often affects term, otherwise healthy infants. A small literature suggests maternal stress during pregnancy is associated with bronchiolitis. However, the association between maternal exposure to lifetime traumatic stress, including traumatic events occurring in childhood or throughout the life course, and bronchiolitis has not been studied previously. Objectives: To investigate the association between maternal exposure to total lifetime and childhood traumatic stress events and infant bronchiolitis. Methods: We studied mother-infant dyads enrolled in a prospective prenatal cohort, recruited 2006-2011, and Tennessee Medicaid. During pregnancy, we …

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Entropy Bound For The Classical Capacity Of A Quantum Channel Assisted By Classical Feedback, Dawei Ding, Yihui Quek, Peter W. Shor, Mark M. Wilde Jul 2019

Entropy Bound For The Classical Capacity Of A Quantum Channel Assisted By Classical Feedback, Dawei Ding, Yihui Quek, Peter W. Shor, Mark M. Wilde

Faculty Publications

We prove that the classical capacity of an arbitrary quantum channel assisted by a free classical feedback channel is bounded from above by the maximum average output entropy of the quantum channel. As a consequence of this bound, we conclude that a classical feedback channel does not improve the classical capacity of a quantum erasure channel, and by taking into account energy constraints, we conclude the same for a pure-loss bosonic channel. The method for establishing the aforementioned entropy bound involves identifying an information measure having two key properties: 1) it does not increase under a one-way local operations and …

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Louisiana Agriculture Summer, 2019, Lsu Agcenter Jul 2019

Louisiana Agriculture Summer, 2019, Lsu Agcenter

Louisiana Agriculture

No abstract provided.

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Photometry Of K2 Campaign 9 Bulge Data, R. Poleski, M. Penny, B. S. Gaudi, A. Udalski, C. Ranc, G. Barentsen, A. Gould Jul 2019

Photometry Of K2 Campaign 9 Bulge Data, R. Poleski, M. Penny, B. S. Gaudi, A. Udalski, C. Ranc, G. Barentsen, A. Gould

Faculty Publications

In its Campaign 9, K2 observed dense regions toward the Galactic bulge in order to constrain the microlensing parallaxes and probe for free-floating planets. Photometric reduction of the K2 bulge data poses a significant challenge due to a combination of the very high stellar density, large pixels of the Kepler camera, and the pointing drift of the spacecraft. Here we present a new method to extract K2 photometry in dense stellar regions. We extended the Causal Pixel Model developed for less-crowded fields, first by using the pixel response function together with accurate astrometric grids, second by combining signals from a …

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Northwest- Summer 2019, Lsu Agcenter Jul 2019

Northwest- Summer 2019, Lsu Agcenter

Horticulture Hints

No abstract provided.

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Northeast- Summer 2019, Lsu Agcenter Jul 2019

Northeast- Summer 2019, Lsu Agcenter

Horticulture Hints

No abstract provided.

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Central- Summer 2019, Lsu Agcenter Jul 2019

Central- Summer 2019, Lsu Agcenter

Horticulture Hints

No abstract provided.

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Southwest- Summer 2019, Lsu Agcenter Jul 2019

Southwest- Summer 2019, Lsu Agcenter

Horticulture Hints

No abstract provided.

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Southeast- Summer 2019, Lsu Agcenter Jul 2019

Southeast- Summer 2019, Lsu Agcenter

Horticulture Hints

No abstract provided.

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Low-Intensity Exercise Induces Acute Shifts In Liver And Skeletal Muscle Substrate Metabolism But Not Chronic Adaptations In Tissue Oxidative Capacity, S E. Fuller, T Y. Huang, J Simon, H M. Batdorf, S E. Fuller, M C. Scott, C M. Waskom, J M. Brown, S J. Burke, J J. Collier, R C. Noland Jul 2019

Low-Intensity Exercise Induces Acute Shifts In Liver And Skeletal Muscle Substrate Metabolism But Not Chronic Adaptations In Tissue Oxidative Capacity, S E. Fuller, T Y. Huang, J Simon, H M. Batdorf, S E. Fuller, M C. Scott, C M. Waskom, J M. Brown, S J. Burke, J J. Collier, R C. Noland

Faculty Publications

Adaptations in hepatic and skeletal muscle substrate metabolism following acute and chronic (6 wk; 5 days/wk; 1 h/day) low-intensity treadmill exercise were tested in healthy male C57BL/6J mice. Low-intensity exercise maximizes lipid utilization; therefore, we hypothesized pathways involved in lipid metabolism would be most robustly affected. Acute exercise nearly depleted liver glycogen immediately postexercise (0 h), whereas hepatic triglyceride (TAG) stores increased in the early stages after exercise (0-3 h). Also, hepatic peroxisome proliferator-activated receptor-gamma coactivator-1 alpha (PGC-1 alpha) gene expression and fat oxidation (mitochondrial and peroxisomal) increased immediately postexercise (0 h), whereas carbohydrate and amino acid oxidation in liver …

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A Phylogenomic Supertree Of Birds, R T. Kimball, C H. Oliveros, N Wang, N D. White, R T. Kimball, D J. Field, D T. Ksepka, R T. Chesser, R G. Moyle, M J. Braun, R T. Brumfield, B C. Faircloth, B T. Smith, E L. Braun Jul 2019

A Phylogenomic Supertree Of Birds, R T. Kimball, C H. Oliveros, N Wang, N D. White, R T. Kimball, D J. Field, D T. Ksepka, R T. Chesser, R G. Moyle, M J. Braun, R T. Brumfield, B C. Faircloth, B T. Smith, E L. Braun

Faculty Publications

It has long been appreciated that analyses of genomic data (e.g., whole genome sequencing or sequence capture) have the potential to reveal the tree of life, but it remains challenging to move from sequence data to a clear understanding of evolutionary history, in part due to the computational challenges of phylogenetic estimation using genome-scale data. Supertree methods solve that challenge because they facilitate a divide-and-conquer approach for large-scale phylogeny inference by integrating smaller subtrees in a computationally efficient manner. Here, we combined information from sequence capture and whole-genome phylogenies using supertree methods. However, the available phylogenomic trees had limited overlap …

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Harnessing Billions Of Tasks For A Scalable Portable Hydrodynamic Simulation Of The Merger Of Two Stars, Thomas Heller, Bryce Adelstein Lelbach, Kevin A. Huck, John Biddiscombe, Patricia Grubel, Alice E. Koniges, Matthias Kretz, Dominic Marcello, David Pfander, Adrian Serio, Juhan Frank, Geoffrey C. Clayton, Dirk Pflüger, David Eder, Hartmut Kaiser Jul 2019

Harnessing Billions Of Tasks For A Scalable Portable Hydrodynamic Simulation Of The Merger Of Two Stars, Thomas Heller, Bryce Adelstein Lelbach, Kevin A. Huck, John Biddiscombe, Patricia Grubel, Alice E. Koniges, Matthias Kretz, Dominic Marcello, David Pfander, Adrian Serio, Juhan Frank, Geoffrey C. Clayton, Dirk Pflüger, David Eder, Hartmut Kaiser

Faculty Publications

We present a highly scalable demonstration of a portable asynchronous many-task programming model and runtime system applied to a grid-based adaptive mesh refinement hydrodynamic simulation of a double white dwarf merger with 14 levels of refinement that spans 17 orders of magnitude in astrophysical densities. The code uses the portable C++ parallel programming model that is embodied in the HPX library and being incorporated into the ISO C++ standard. The model represents a significant shift from existing bulk synchronous parallel programming models under consideration for exascale systems. Through the use of the Futurization technique, seemingly sequential code is transformed into …

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A Search For High-Energy Counterparts To Fast Radio Bursts, Virginia Cunningham, S. Bradley Cenko, Eric Burns, Adam Goldstein, Amy Lien, Daniel Kocevski, Michael Briggs, Valerie Connaughton, M. Coleman Miller, Judith Racusin, Matthew Stanbro Jul 2019

A Search For High-Energy Counterparts To Fast Radio Bursts, Virginia Cunningham, S. Bradley Cenko, Eric Burns, Adam Goldstein, Amy Lien, Daniel Kocevski, Michael Briggs, Valerie Connaughton, M. Coleman Miller, Judith Racusin, Matthew Stanbro

Faculty Publications

We report on a search for high-energy counterparts to fast radio bursts (FRBs) with the Fermi Gamma-ray Burst Monitor, Fermi Large Area Telescope, and the Neil Gehrels Swift Observatory Burst Alert Telescope. We find no significant associations for any of the 23 FRBs in our sample, but report upper limits to the high-energy fluence for each on timescales of 0.1, 1, 10, and 100 s. We report lower limits on the ratio of the radio to high-energy fluence, f r/fγ, for timescales of 0.1 and 100 s. We discuss the implications of our non-detections on various proposed progenitor models for …

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Tests Of General Relativity With Gw170817, B. P. Abbott, R. Abbott, T. D. Abbott, F. Acernese, K. Ackley, C. Adams, T. Adams, P. Addesso, R. X. Adhikari, V. B. Adya, C. Affeldt, B. Agarwal, M. Agathos, K. Agatsuma, N. Aggarwal, O. D. Aguiar, L. Aiello, A. Ain, P. Ajith, B. Allen, G. Allen, A. Allocca, M. A. Aloy, P. A. Altin, A. Amato, A. Ananyeva, S. B. Anderson, W. G. Anderson, S. V. Angelova, S. Antier, S. Appert, K. Arai, M. C. Araya Jul 2019

Tests Of General Relativity With Gw170817, B. P. Abbott, R. Abbott, T. D. Abbott, F. Acernese, K. Ackley, C. Adams, T. Adams, P. Addesso, R. X. Adhikari, V. B. Adya, C. Affeldt, B. Agarwal, M. Agathos, K. Agatsuma, N. Aggarwal, O. D. Aguiar, L. Aiello, A. Ain, P. Ajith, B. Allen, G. Allen, A. Allocca, M. A. Aloy, P. A. Altin, A. Amato, A. Ananyeva, S. B. Anderson, W. G. Anderson, S. V. Angelova, S. Antier, S. Appert, K. Arai, M. C. Araya

Faculty Publications

The recent discovery by Advanced LIGO and Advanced Virgo of a gravitational wave signal from a binary neutron star inspiral has enabled tests of general relativity (GR) with this new type of source. This source, for the first time, permits tests of strong-field dynamics of compact binaries in the presence of matter. In this Letter, we place constraints on the dipole radiation and possible deviations from GR in the post-Newtonian coefficients that govern the inspiral regime. Bounds on modified dispersion of gravitational waves are obtained; in combination with information from the observed electromagnetic counterpart we can also constrain effects due …

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Searches For Gravitational Waves From Known Pulsars At Two Harmonics In 2015-2017 Ligo Data, B. P. Abbott, R. Abbott, T. D. Abbott, S. Abraham, F. Acernese, K. Ackley, C. Adams, R. X. Adhikari, V. B. Adya, C. Affeldt, M. Agathos, K. Agatsuma, N. Aggarwal, O. D. Aguiar, L. Aiello, A. Ain, P. Ajith, G. Allen, A. Allocca, M. A. Aloy, P. A. Altin, A. Amato, A. Ananyeva, S. B. Anderson, W. G. Anderson, S. V. Angelova, S. Antier, S. Appert, K. Arai, M. C. Araya, J. S. Areeda, M. Arene, N. Arnaud Jul 2019

Searches For Gravitational Waves From Known Pulsars At Two Harmonics In 2015-2017 Ligo Data, B. P. Abbott, R. Abbott, T. D. Abbott, S. Abraham, F. Acernese, K. Ackley, C. Adams, R. X. Adhikari, V. B. Adya, C. Affeldt, M. Agathos, K. Agatsuma, N. Aggarwal, O. D. Aguiar, L. Aiello, A. Ain, P. Ajith, G. Allen, A. Allocca, M. A. Aloy, P. A. Altin, A. Amato, A. Ananyeva, S. B. Anderson, W. G. Anderson, S. V. Angelova, S. Antier, S. Appert, K. Arai, M. C. Araya, J. S. Areeda, M. Arene, N. Arnaud

Faculty Publications

We present a search for gravitational waves from 222 pulsars with rotation frequencies 10 Hz. We use advanced LIGO data from its first and second observing runs spanning 2015-2017, which provides the highest-sensitivity gravitational-wave data so far obtained. In this search we target emission from both the l = m = 2 mass quadrupole mode, with a frequency at twice that of the pulsar's rotation, and the l = 2, m = 1 mode, with a frequency at the pulsar rotation frequency. The search finds no evidence for gravitational-wave emission from any pulsar at either frequency. For the l = …

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High-Harmonic Spectroscopy Of Transient Two-Center Interference Calculated With Time-Dependent Density-Functional Theory, François Mauger, Paul M. Abanador, Timothy D. Scarborough, Timothy T. Gorman, Pierre Agostini, Louis F. Dimauro, Kenneth Lopata, Kenneth J. Schafer, Mette B. Gaarde Jul 2019

High-Harmonic Spectroscopy Of Transient Two-Center Interference Calculated With Time-Dependent Density-Functional Theory, François Mauger, Paul M. Abanador, Timothy D. Scarborough, Timothy T. Gorman, Pierre Agostini, Louis F. Dimauro, Kenneth Lopata, Kenneth J. Schafer, Mette B. Gaarde

Faculty Publications

© 2019 Author(s). We demonstrate high-harmonic spectroscopy in many-electron molecules using time-dependent density-functional theory. We show that a weak attosecond-pulse-train ionization seed that is properly synchronized with the strong driving mid-infrared laser field can produce experimentally relevant high-harmonic generation (HHG) signals, from which we extract both the spectral amplitude and the target-specific phase (group delay). We also show that further processing of the HHG signal can be used to achieve molecular-frame resolution, i.e., to resolve the contributions from rescattering on different sides of an oriented molecule. In this framework, we investigate transient two-center interference in CO2 and OCS, and how …

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Numerical Convergence Of Finite Difference Approximations For State Based Peridynamic Fracture Models, Prashant K. Jha, Robert Lipton Jul 2019

Numerical Convergence Of Finite Difference Approximations For State Based Peridynamic Fracture Models, Prashant K. Jha, Robert Lipton

Faculty Publications

In this work, we study the finite difference approximation for a class of nonlocal fracture models. The nonlocal model is initially elastic but beyond a critical strain the material softens with increasing strain. This model is formulated as a state-based peridynamic model using two potentials: one associated with hydrostatic strain and the other associated with tensile strain. We show that the dynamic evolution is well-posed in the space of Hölder continuous functions C 0,γ with Hölder exponent γ∈(0,1]. Here the length scale of nonlocality is ϵ, the size of time step is Δt and the mesh size is h. The …

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Coorbits For Projective Representations With An Application To Bergman Spaces, Jens Gerlach Christensen, Amer H. Darweesh, Gestur Ólafsson Jul 2019

Coorbits For Projective Representations With An Application To Bergman Spaces, Jens Gerlach Christensen, Amer H. Darweesh, Gestur Ólafsson

Faculty Publications

Representation theory of locally compact topological groups is a powerful tool to analyze Banach spaces of functions and distributions. It provides a unified framework for constructing function spaces and to study several generalizations of the wavelet transform. Recently representation theory has been used to provide atomic decompositions for a large collection of classical Banach spaces. But in some natural situations, including Bergman spaces on bounded domains, representations are too restrictive. The proper tools are projective representations. In this paper we extend known techniques from representation theory to also include projective representations. This leads naturally to twisted convolution on groups avoiding …

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Output Feedback Stabilization By Reduced Order Finite Time Observers Using A Trajectory Based Approach, Michael Malisoff, Frederic Mazenc, Saeed Ahmed Jul 2019

Output Feedback Stabilization By Reduced Order Finite Time Observers Using A Trajectory Based Approach, Michael Malisoff, Frederic Mazenc, Saeed Ahmed

Faculty Publications

We use finite time reduced order continuous-discrete observers to solve an output feedback stabilization problem for a class of nonlinear time-varying systems whose outputs contain uncertainty. Unlike earlier works, our feedback is discontinuous, but it does not contain distributed control terms. Our trajectory based approach is based on a contrac-tivity condition. We illustrate our control in the context of a tracking problem for nonholonomic systems in chained form.

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