Digital Commons Network^™

(Sl(N),Q) -Opers, The Q-Langlands Correspondence, And Quantum/Classical Duality, Peter Koroteev, Daniel S. Sage, Anton M. Zeitlin

Faculty Publications

A special case of the geometric Langlands correspondence is given by the relationship between solutions of the Bethe ansatz equations for the Gaudin model and opers-connections on the projective line with extra structure. In this paper, we describe a deformation of this correspondence for SL(N). We introduce a difference equation version of opers called q-opers and prove a q-Langlands correspondence between nondegenerate solutions of the Bethe ansatz equations for the XXZ model and nondegenerate twisted q-opers with regular singularities on the projective line. We show that the quantum/classical duality between the XXZ spin chain and the trigonometric Ruijsenaars–Schneider model may …

Discovery And Confirmation Of The Shortest Gamma-Ray Burst From A Collapsar, T Ahumada, L P. Singer, S Anand, M W. Coughlin, T Ahumada, G Ryan, I Andreoni, S B. Cenko, C Fremling, H Kumar, P T. Pang, E Burns, V Cunningham, S Dichiara, T Dietrich, D S. Svinkin, M S. Almualla, A J. Castro-Tirado, K De, R Dunwoody, P Gatkine, E Hammerstein, S Iyyani, J Mangan, E Perley, S Purkayastha, E Bellm, V Bhalerao, B Bolin, M Bulla, C Cannella, P Chandra, D A. Duev, D Frederiks, A. Gal-Yam, M. Graham, A. Y. Q. Ho, K. Hurley, V. Karambelkar, E. C. Kool, S. R. Kulkarni, A. Mahabal, F. Masci, S. Mcbreen, S. B. Pandey, S. Reusch, A. Ridnaia, P. Rosnet, B. Rusholme, A. S. Carracedo, R. Smith, M. Soumagnac, R. Stein, E. Troja, A. Tsvetkova, R. Walters, A. F. Valeev

Faculty Publications

Gamma-ray bursts (GRBs) are among the brightest and most energetic events in the Universe. The duration and hardness distribution of GRBs has two clusters(1), now understood to reflect (at least) two different progenitors(2). Short-hard GRBs (SGRBs; T-90 < 2 s) arise from compact binary mergers, and long-soft GRBs (LGRBs; T-90 > 2 s) have been attributed to the collapse of peculiar massive stars (collapsars)(3). The discovery of SN 1998bw/GRB 980425 (ref. (4)) marked the first association of an LGRB with a collapsar, and AT 2017gfo (ref. (5))/GRB 170817A/GW170817 (ref. (6)) marked the first association of an SGRB with a binary neutron star merger, which also produced a gravitational wave. Here, we present the discovery …

Supernova Model Discrimination With Hyper-Kamiokande, K Abe, P Adrich, H Aihara, R Akutsu, K Abe, A Ali, F Ameli, I Anghel, L H. Anthony, M Antonova, A Araya, Y Asaoka, Y Ashida, V Aushev, F Ballester, I Bandac, M Barbi, G J. Barker, G Barr, M Batkiewicz-Kwasniak, M Bellato, V Berardi, M Bergevin, L Bernard, S Bernardini, L Berns, S Bhadra, J Bian, A Blanchet, F D. Blaszczyk, A Blondel, A Boiano, S Bolognesi, L Bonavera

Faculty Publications

Core-collapse supernovae are among the most magnificent events in the observable universe. They produce many of the chemical elements necessary for life to exist and their remnants-neutron stars and black holes-are interesting astrophysical objects in their own right. However, despite millennia of observations and almost a century of astrophysical study, the explosion mechanism of core-collapse supernovae is not yet well understood. Hyper-Kamiokande is a next-generation neutrino detector that will be able to observe the neutrino flux from the next galactic core-collapse supernova in unprecedented detail. We focus on the first 500 ms of the neutrino burst, corresponding to the accretion …

Stability Analysis For Time-Varying Systems With Asynchronous Sampling Using Contractivity Approach, Frederic Mazenc, Michael Malisoff, Miroslav Krstic

Faculty Publications

We provide new sufficient conditions for a generalized exponential input-to-state stability condition to hold. Our proofs use innovative trajectory based contractivity and cooperative systems arguments. Another key ingredient is a new variant of Halanay's inequality, which differs from prior Halanay inequalities because of its use of sampling. Our sufficient conditions allow arbitrarily long intervals between some consecutive sampling times, provided the intervals between consecutive sampling times are frequently small enough. This removes a significant limitation of prior results that relied on versions of Halanay's inequality that did not contain sampling. Unlike standard stability conditions, the upper bounds for the norm …

Stability And Observer Designs Using New Variants Of Halanay's Inequality, Frédéric Mazenc, Michael Malisoff, Miroslav Krstic

Faculty Publications

We provide a generalization of Halanay's inequality, where the decay rate is constant but the gain multiplying the delayed term is time varying. While the usual Halanay's conditions require the decay rate to be strictly larger than an upper bound on the gain, our less restrictive results allow times when the gain can exceed the decay rate. This allows us to prove asymptotic stability in significant cases that were not amenable to previous Lyapunov function constructions, and in cases that violate the contraction requirement that was needed to prove asymptotic stability in previous trajectory based results. We apply our work …

Combustion By-Products And Their Health Effects: Summary Of The 16th International Congress, Angela Violi, Stephania Cormier, Brian Gullett, Stina Jansson, Slawo Lomnicki, Chloe Luyet, Andreas Mayer, Ralf Zimmermann

Division of Basic Science Faculty Publications

The 16th International Congress on Combustion By-Products and their Health Effects (PIC2019) was held in Ann Arbor, Michigan, from July 10 to 12, 2019. For the last 28 years, this conference has served as an interdisciplinary platform for the discussion of the formation, environmental fate, health effects, policy, and remediation of combustion by-products. The technical areas for PIC2019 included mobile and stationary sources in urban environments, open fires, in- door air pollution, and halogenated pollutants. The congress was sponsored by the National Institute of Environmental Health Sciences (NIEHS), the U.S. EPA, the School of Public Health at the University of …

Solopreneur Digital Ecosystems: Genesis, Lineage And Preliminary Categorization, Gabriele Piccoli, Biagio Palese, Joaquin Rodriguez

Faculty Publications

This paper traces the genesis and lineage of solopreneur digital ecosystems. These ecosystems, fostered by a digital environment that is infrastructural, combinatorial and servitized, are enabling the rise to prominence of the solopreneur. We theorize solopreneur digital ecosystems as the latest incarnation of systems beyond firm control, with digital platforms and digital marketplaces as their principal enablers. In an effort to compare them from the perspective of the solopreneur, we categorize solopreneur digital ecosystems on three dimensions: algorithmic control, commoditization, and lock-in. Our work contributes a framework that solopreneurs can use to identify ecosystems in which they can optimally invest …

Solopreneur Digital Ecosystems: Genesis, Lineage And Preliminary Categorization, Gabriele Piccoli, Biagio Palese, Joaquin Rodriguez

Faculty Publications

This paper traces the genesis and lineage of solopreneur digital ecosystems. These ecosystems, fostered by a digital environment that is infrastructural, combinatorial and servitized, are enabling the rise to prominence of the solopreneur. We theorize solopreneur digital ecosystems as the latest incarnation of systems beyond firm control, with digital platforms and digital marketplaces as their principal enablers. In an effort to compare them from the perspective of the solopreneur, we categorize solopreneur digital ecosystems on three dimensions: algorithmic control, commoditization, and lock-in. Our work contributes a framework that solopreneurs can use to identify ecosystems in which they can optimally invest …

Peridynamics For Quasistatic Fracture Modeling, Debdeep Bhattacharya, Patrick Diehl, Robert P. Lipton

Faculty Publications

Fracture involves interaction across large and small length scales. With the application of enough stress or strain to a brittle material, atomistic scale bonds will break, leading to fracture of the macroscopic specimen. From the perspective of mechanics fracture should appear as an emergent phenomena generated by a continuum field theory eliminating the need for a supplemental kinetic relation describing crack growth. We develop a new fast method for modeling quasi-static fracture using peridynamics. We apply fixed point theory and model stable crack evolution for hard and soft loading. For soft loading we recover unstable fracture. For hard loading we …

Feedback Stabilization With Discrete Measurements Using Bounds On Fundamental Matrices, Frederic Mazenc, Michael Malisoff

Faculty Publications

We prove a new robust stabilization theorem for systems with time-varying disturbances and sampled measurements, using novel bounds on fundamental matrices for systems with disturbances. Our main tools use properties of positive systems and Metzler matrices. Our numerical example illustrates an advantage of using our method instead of previous methods.

New Fixed Time And Fast Converging Reduced Order Observers, Frederic Mazenc, Michael Malisoff

Faculty Publications

For nonlinear continuous-time systems with continuous measurements of the output, we provide new reduced order observers that converge in finite time. The convergence time is independent of the initial state. For cases where the measurements are discrete, we provide asymptotically converging observers, whose rate of convergence is proportional to the negative of the logarithm of the size of the sampling interval. Our observers are based on the observability Gramian.

Subgroups Of Right-Angled Coxeter Groups Via Stallings-Like Techniques, Pallavi Dani, Ivan Levcovitz

Faculty Publications

We associate cube complexes called completions to each subgroup of a right-angled Coxeter group (RACG). A completion characterizes many properties of the subgroup such as whether it is quasiconvex, normal, finite-index or torsion-free. We use completions to show that reflection subgroups are quasiconvex, as are one-ended Coxeter subgroups of a 2-dimensional RACG. We provide an algorithm that determines whether a given one-ended, 2-dimensional RACG is isomorphic to some finite-index subgroup of another given RACG. In addition, we answer several algorithmic questions regarding quasiconvex subgroups. Finally, we give a new proof of Haglund’s result that quasiconvex subgroups of RACGs are separable.

Characterisation Of Nano-Assemblies Inside Mesopores Using Neutron Scattering*, Yingzhen Ma, William T. Heller, Lilin He, William A. Shelton, Gernot Rother, Bhuvnesh Bharti

Faculty Publications

Adsorption of molecular and nanoscale matter in mesoporous materials is important in filtration and chromatography as well as membrane processes. However, the morphology and distribution of self-assembled structures of adsorbate formed within nanoconfined environments is largely unknown. Small Angle Neutron Scattering (SANS) with porous matrix matching the neutron scattering length density of the solvent has the potential to provide detailed information on the self-assemblies formed in pore spaces. However, analysis of such SANS profiles remains a challenge. In this study, we extend the SANS analysis method previously developed by Findenegg and co-workers to include interparticle correlations, providing a qualitative characterisation …

Event-Triggered Control For Systems With State Delays Using A Positive Systems Approach, Frederic Mazenc, Michael Malisoff, Corina Barbalata, Zhong Ping Jiang

Faculty Publications

We provide a new positive system approach to event-triggered feedback control of linear systems with state delays. We use an interval observer method and linear Lyapunov functions to prove global exponential stability of the closed loop systems. Our two examples illustrate the usefulness of our method for counteracting the effects of potentially destabilizing state delays.

Μralp And Beyond: Micro-Technologies And Systems For Robot-Assisted Endoscopic Laser Microsurgery, Leonardo S. Mattos, Alperen Acemoglu, André Geraldes, Andrea Laborai, Andreas Schoob, Brahim Tamadazte, Brian Davies, Bruno Wacogne, Christian Pieralli, Corina Barbalata, Darwin G. Caldwell, Dennis Kundrat, Diego Pardo, Edward Grant, Francesco Mora, Giacinto Barresi, Giorgio Peretti, Jesùs Ortiz, Kanty Rabenorosoa, Laurent Tavernier, Lionel Pazart, Loris Fichera, Luca Guastini, Lüder A. Kahrs, Micky Rakotondrabe, Nicolas Andreff, Nikhil Deshpande, Olivier Gaiffe, Rupert Renevier, Sara Moccia, Sergio Lescano, Tobias Ortmaier, Veronica Penza

Faculty Publications

Laser microsurgery is the current gold standard surgical technique for the treatment of selected diseases in delicate organs such as the larynx. However, the operations require large surgical expertise and dexterity, and face significant limitations imposed by available technology, such as the requirement for direct line of sight to the surgical field, restricted access, and direct manual control of the surgical instruments. To change this status quo, the European project μRALP pioneered research towards a complete redesign of current laser microsurgery systems, focusing on the development of robotic micro-technologies to enable endoscopic operations. This has fostered awareness and interest in …

Tensor Multivariate Trace Inequalities And Their Applications, Shih Yu Chang, Hsiao Chun Wu

Faculty Publications

In linear algebra, the trace of a square matrix is defined as the sum of elements on the main diagonal. The trace of a matrix is the sum of its eigenvalues (counted with multiplicities), and it is invariant under the change of basis. This charac-terization can be used to define the trace of a tensor in general. Trace inequalities are mathematical relations between different multivariate trace functionals involving linear operators. These relations are straightforward equalities if the involved linear operators commute, however, they can be difficult to prove when the non-commuting linear operators are involved. Given two Hermitian tensors H1 …

Intelligent Spectrum Management And Trajectory Design For Uav-Assisted Cognitive Ambient Backscatter Networks, Jiazhou Liu, Sa Xiao, Huayan Guo, Xiangwei Zhou, Shixin He

Faculty Publications

In this paper, we consider a novel Internet of Things (IoT) system in smart city called unmanned aerial vehicle- (UAV-) assisted cognitive backscatter network, where a UAV is employed as both a relay and a radio frequency source to help the data transmission between ground IoT backscatter devices (BDs) and a remote data center (DC). However, since the IoT applications are usually not assigned dedicated spectrum resource in smart cities, these data transmissions from BDs to the DC should share the licensed spectrum of cellular users (CUs). Therefore, we aim to maximize the minimum uplink throughput among all BDs while …

Viscosity Robust Weak Galerkin Finite Element Methods For Stokes Problems, B Wang, L Mu

Faculty Publications

In this paper, we develop a viscosity robust weak Galerkin finite element scheme for Stokes equations. The major idea for achieving pressure-independent energy-error estimate is to use a divergence preserving velocity reconstruction operator in the discretization of the right hand side body force. The optimal convergence results for velocity and pressure have been established in this paper. Finally, numerical examples are presented for validating the theoretical conclusions.

Distributed Load Testing By Modeling And Simulating User Behavior, Chester Ira Parrott

LSU Doctoral Dissertations

Modern human-machine systems such as microservices rely upon agile engineering practices which require changes to be tested and released more frequently than classically engineered systems. A critical step in the testing of such systems is the generation of realistic workloads or load testing. Generated workload emulates the expected behaviors of users and machines within a system under test in order to find potentially unknown failure states. Typical testing tools rely on static testing artifacts to generate realistic workload conditions. Such artifacts can be cumbersome and costly to maintain; however, even model-based alternatives can prevent adaptation to changes in a system …

Experiential Statistics: A Case Study In Favor Of Using Project-Based Learning To Advance Preliminary Statistics Content Knowledge In The Algebra I And Geometry Classroom, Trey Michael Earle

LSU Doctoral Dissertations

Preparing secondary students for college entrance requirements and the expectations of the job market, a market which is actively seeking the employees who are most qualified to take on jobs that require data analysis skills, is becoming increasingly important. Federal, state, and local education administrators and personnel must rewrite many of the general education curricula to incorporate data organization, collection, manipulation, application, and analysis in order to better prepare students for the expectations of college entrance and an ever-changing employment market. From a purely pedagogical standpoint, while traditional educational structure has been commonplace for decades in the United States, projects …

Salt Marsh Elevation Limit Determined After Subsidence From Hydrologic Change And Hydrocarbon Extraction, R. Eugene Turner, Yu Mo

Faculty Publications

Levee construction aboveground and hydrocarbon removal from belowground in coastal wetlands can create hydrologic changes that increase plant stress through flooding. But the significance of the subsidence they cause individually or in combination is contested. This study untangled them to demonstrate elevational limits of salt marshes by studying dredged and natural waterways in two salt marshes in Louisiana, USA. The areas had a homogenous plant cover before drilling for oil and gas extraction peaked in the 1960s, and now are a mixed network of natural waterways and dredged canals used to drill wells with an average drill date of 1965.8 …

Direct Measurement Of The Cosmic-Ray Carbon And Oxygen Spectra From 10 Gev/ N To 2.2 Tev/ N With The Calorimetric Electron Telescope On The International Space Station, O. Adriani, Y. Akaike, K. Asano, Y. Asaoka, M. G. Bagliesi, E. Berti, G. Bigongiari, W. R. Binns, M. Bongi, P. Brogi, A. Bruno, J. H. Buckley, N. Cannady, G. Castellini, C. Checchia, M. L. Cherry, G. Collazuol, K. Ebisawa, H. Fuke, S. Gonzi, T. G. Guzik, T. Hams, K. Hibino, M. Ichimura, K. Ioka, W. Ishizaki, M. H. Israel, K. Kasahara, J. Kataoka, R. Kataoka, Y. Katayose, C. Kato, N. Kawanaka

Faculty Publications

In this paper, we present the measurement of the energy spectra of carbon and oxygen in cosmic rays based on observations with the Calorimetric Electron Telescope on the International Space Station from October 2015 to October 2019. Analysis, including the detailed assessment of systematic uncertainties, and results are reported. The energy spectra are measured in kinetic energy per nucleon from 10 GeV/n to 2.2 TeV/n with an all-calorimetric instrument with a total thickness corresponding to 1.3 nuclear interaction length. The observed carbon and oxygen fluxes show a spectral index change of ∼0.15 around 200 GeV/n established with a significance >3σ. …

A Nonstandard Proof Of De Finetti’S Theorem For Bernoulli Random Variables, Irfan Alam

Journal of Stochastic Analysis

No abstract provided.

The Boundedness Of General Alternative Singular Integrals With Respect To The Gaussian Measure, Eduard Navas, Ebner Pineda, Wilfredo O. Urbina

Journal of Stochastic Analysis

No abstract provided.

Martingales And Cocycles In Quantum Probability, Kalyan B. Sinha

Journal of Stochastic Analysis

No abstract provided.

Rényi Entropy On C*-Algebras, Farrukh Mukhamedov, Kyouhei Ohmura, Noboru Watanabe

Journal of Stochastic Analysis

No abstract provided.

Synthesis Of Structurally Diverse Molecular Scaffolds Enabled By Protected Oxyallyl Cations, Joshua Andrew Malone

LSU Doctoral Dissertations

This dissertation focuses on the synthesis of diverse molecular scaffolds through the use of protected oxyallyl cation intermediates. Chapter One provides background on the generation and applications of oxyallyl and silyloxyallyl cations, while focusing on the direct nucleophilic capture of theses intermediates to generate functionalized ketones and silylenolates. Chapter Two depicts our approach to generate six-membered silyloxyallyl cations through the use of mild Brønsted acid activation. Regioselective nucleophilic capture of these intermediates successfully produced diverse a,a’-substituted silylenol ethers enabled by polar solvent and residual water.

Chapter three details strategies to generate 1,4-dicarbonyl compounds, focusing on the capture of cationic intermediates …

R(P,Q) Analogs Of Discrete Distributions: General Formalism And Applications, Mahouton Norbert Hounkonnou, Fridolin Melong

Journal of Stochastic Analysis

No abstract provided.

The Yang-Mills Heat Equation On Three-Manifolds With Boundary, Nelia Charalambous

Journal of Stochastic Analysis

No abstract provided.

Machine Learning Based Applications For Data Visualization, Modeling, Control, And Optimization For Chemical And Biological Systems, Yan Ma

LSU Doctoral Dissertations

This dissertation report covers Yan Ma’s Ph.D. research with applicational studies of machine learning in manufacturing and biological systems. The research work mainly focuses on reaction modeling, optimization, and control using a deep learning-based approaches, and the work mainly concentrates on deep reinforcement learning (DRL). Yan Ma’s research also involves with data mining with bioinformatics. Large-scale data obtained in RNA-seq is analyzed using non-linear dimensionality reduction with Principal Component Analysis (PCA), t-Distributed Stochastic Neighbor Embedding (t-SNE), and Uniform Manifold Approximation and Projection (UMAP), followed by clustering analysis using k-Means and Hierarchical Density-Based Spatial Clustering with Noise (HDBSCAN). This report focuses …