cometadata/datacite-rtg-text-other-reclassification-records huggingface dataset:
Longitudinal dynamics of semiconductor lasers
Creators: name: Sieber, Jan
Publisher: name: Weierstrass Institute
Year: 2001
Subjects: subject: semiconductor lasers
subject: infinite-dimensional dynamical systems
subject: invariant manifolds
subject: bifurcation analysis
subject: 78A60
subject: 35B25
subject: 37D10
subject: 34C60

description: We investigate the longitudinal dynamics of semiconductor lasers using a model which couples a hyperbolic linear system of partial differential equations nonlinearly with ordinary differential equations. We prove the global existence and uniqueness of solutions using the theory of strongly continuous semigroups. Subsequently, we analyse the long-time behavior of the solutions in two steps. First, we find attracting invariant manifolds of low dimension benefitting from the fact that the system is singularly perturbed, i. e., the optical and the electronic variables operate on differente time-scales. The flow on these manifolds can be approximated by the so-called mode approximations. The dimension of these mode approximations depends on the number of critical eigenvalues of the linear hyperbolic operator. Next, we perform a detailed numerical and analytic bifurcation analysis for the two most common constellations. Starting from known results for the single-mode approximation, we investigate the two-mode approximation in the special case of a rapidly rotating phase difference between the two optical components. In this case, the first-order averaged model unveils the mechanisms for various phenomena observed in simulations of the complete system. Moreover, it predicts the existence of a more complex spatio-temporal behavior. In the scope of the averaged model, this is a bursting regime.
X-ray Continuum Slope and X-ray Spectral Features in NLS1 Galaxies
Creators: name: Netzer, Hagai
Publisher: name: arXiv
Year: 2000
Subjects: subject: Astrophysics (astro-ph)
subject: FOS: Physical sciences

description: The idea that some of the unusual features in the X-ray spectra of Narrow-Line Seyfert 1 galaxies (NLS1s) are due to the steep X-ray continuum is tested by comparing photoionization model calculations with various observed properties of Seyfert 1 galaxies. A meaningful comparison must involve the careful use of the right X-ray ionization parameter, designated here U(oxygen). When this is done, it is found that the strength of the continuum absorption features is insensitive to the exact slope of the 0.1-50 keV continuum. It is also shown that the complex of iron L-shell lines near 1 keV can produce strong absorption and emission features, depending on the gas distribution and line widths. While this may explain some unusual X-ray features in AGN, the predicted intensity of the features do not distinguish NLS1 from broader line sources. Finally, acceleration of highly ionized gas, by X-ray radiation pressure, is also not sensitive to the exact slope of the X-ray continuum.
description: Invited talk presented at the Joint MPE,AIP,ESO workshop on NLS1s, Bad Honnef, Dec. 1999, to appear in New Astronomy Reviews; also available at http://wave.xray.mpe.mpg.de/conferences/nls1-workshop
Dynamics for Systems of Screw Dislocations
Creators: name: Blass, Timothy
name: Fonseca, Irene
name: Leoni, Giovanni
name: Morandotti, Marco
Publisher: name: Carnegie Mellon University
Year: 2015
Subjects: subject: 19999 Mathematical Sciences not elsewhere classified
subject: FOS: Mathematics

description: The goal of this paper is the analytical validation of a model of Cermelli and Gurtin [Arch. Ration. Mech. Anal., 148 (1999), pp. 3--52] for an evolution law for systems of screw dislocations under the assumption of antiplane shear. The motion of the dislocations is restricted to a discrete set of glide directions, which are properties of the material. The evolution law is given by a “maximal dissipation criterion,” leading to a system of differential inclusions. Short time existence, uniqueness, cross-slip, and fine cross-slip of solutions are proved.
Time Series Analysis in American Stock Market Recovering in Post COVID-19 Pandemic Period
Creators: name: Fu, Weilin
name: Li, Zhuoran
name: Zhang, Yupeng
name: Zhou, Xingyou
Publisher: name: arXiv
Year: 2022
Subjects: subject: Statistical Finance (q-fin.ST)
subject: Applications (stat.AP)
subject: FOS: Economics and business
subject: FOS: Computer and information sciences

description: Every financial crisis has caused a dual shock to the global economy. The shortage of market liquidity, such as default in debt and bonds, has led to the spread of bankruptcies, such as Lehman Brothers in 2008. Using the data for the ETFs of the S&P 500, Nasdaq 100, and Dow Jones Industrial Average collected from Yahoo Finance, this study implemented Deep Learning, Neuro Network, and Time-series to analyze the trend of the American Stock Market in the post-COVID-19 period. LSTM model in Neuro Network to predict the future trend, which suggests the US stock market keeps falling for the post-COVID-19 period. This study reveals a reasonable allocation method of Long Short-Term Memory for which there is strong evidence.
description: 9 pages, 4 figures, Submitted to the Cambridge University Press Journal
Superposition as a Relativistic Filter
Creators: name: Ord, G. N.
Publisher: name: arXiv
Year: 2017
Subjects: subject: Quantum Physics (quant-ph)
subject: FOS: Physical sciences

description: By associating a binary signal with the relativistic worldline of a particle, a binary form of the phase of non-relativistic wavefunctions is naturally produced by time dilation. An analog of superposition also appears as a Lorentz filtering process, removing paths that are relativistically inequivalent. In a model that includes a stochastic component, the free-particle Schrödinger equation emerges from a completely relativistic context in which its origin {\em and function} is known. The result establishes the fact that the phase of wavefunctions in Schrödinger's equation and the attendant superposition principle may both be considered remnants of time dilation. This strongly argues that quantum mechanics has its origins in special relativity.
description: 19 pages, 7 Figures. This is a pre journal-modified version
Body Segmentation Using Multi-task Learning
Creators: name: Jug, Julijan
name: Lampe, Ajda
name: Štruc, Vitomir
name: Peer, Peter
Publisher: name: arXiv
Year: 2022
Subjects: subject: Computer Vision and Pattern Recognition (cs.CV)
subject: FOS: Computer and information sciences

description: Body segmentation is an important step in many computer vision problems involving human images and one of the key components that affects the performance of all downstream tasks. Several prior works have approached this problem using a multi-task model that exploits correlations between different tasks to improve segmentation performance. Based on the success of such solutions, we present in this paper a novel multi-task model for human segmentation/parsing that involves three tasks, i.e., (i) keypoint-based skeleton estimation, (ii) dense pose prediction, and (iii) human-body segmentation. The main idea behind the proposed Segmentation--Pose--DensePose model (or SPD for short) is to learn a better segmentation model by sharing knowledge across different, yet related tasks. SPD is based on a shared deep neural network backbone that branches off into three task-specific model heads and is learned using a multi-task optimization objective. The performance of the model is analysed through rigorous experiments on the LIP and ATR datasets and in comparison to a recent (state-of-the-art) multi-task body-segmentation model. Comprehensive ablation studies are also presented. Our experimental results show that the proposed multi-task (segmentation) model is highly competitive and that the introduction of additional tasks contributes towards a higher overall segmentation performance.
Cenozoic history of northeastern Chispa quadrangle, Trans-Pecos, Texas
Creators: name: Humble, Emmett Arl, 1925-
Publisher: name: The University of Texas at Austin
Year: 1951
Subjects: subject: Historical geology--Texas
subject: Geology, Stratigraphic--Cenozoic

description: Tertiary beds of tuff and related sedimentary deposits with intercalated lava flows, comprising an aggregate thickness of slightly more than 1,000 feet, rest with an angular unconformity upon Cretaceous and Permian. This volcanic sequence is placed in the McCutcheon group (Eifler, 1951), and no names are proposed for the individual members. The early flows are found in a basin-like depression with a very thick water-laid tuff section directly above, but the remaining flows and tuffs are found over extensive areas, and are less affected by erosion immediately following deposition of the individual units. After deposition of the Tertiary volcanic rocks, faulting occurred, and the Quaternary formations developed. Much variation of climatic conditions is revealed by numerous changes in Quaternary sediments. Three intrusions are present in the quadrangle, and, in the Oat Mountain intrusion, large blocks of Permian and Cretaceous rocks were brought up and exposed on the north and south ends of the Mayfield Hills. The major structural features are the southward and eastward-trending faults which divide the quadrangle into two distinct units: horst mountains, and the corresponding graben, Michigan Flat
Correlated Spin-Flip Tunneling in a Fermi Lattice Gas
Creators: name: Xu, Wenchao
name: Morong, William
name: Hui, Hoi-Yun
name: Scarola, Vito W.
name: DeMarco, Brian
Publisher: name: arXiv
Year: 2017
Subjects: subject: Quantum Gases (cond-mat.quant-gas)
subject: FOS: Physical sciences

description: We report the realization of correlated, density-dependent tunneling for fermionic 40K atoms trapped in an optical lattice. By appropriately tuning the frequency difference between a pair of Raman beams applied to a spin-polarized gas, simultaneous spin transitions and tunneling events are induced that depend on the relative occupations of neighboring lattice sites. Correlated spin-flip tunneling is spectroscopically resolved using gases prepared in opposite spin states, and the inferred Hubbard interaction energy is compared with a tight-binding prediction. We show that the laser-induced correlated tunneling process generates doublons via loss induced by light-assisted collisions. Furthermore, by controllably introducing vacancies to a spin-polarized gas, we demonstrate that correlated tunneling is suppressed when neighboring lattice sites are unoccupied.
Generalized Ladder Operators for the Dirac-Coulomb Problem via SUSY QM
Creators: name: Rodrigues, R. de Lima
Publisher: name: arXiv
Year: 2003
Subjects: subject: High Energy Physics - Theory (hep-th)
subject: FOS: Physical sciences

description: The supersymmetry in quantum mechanics and shape invariance condition are applied as an algebraic method to solve the Dirac-Coulomb problem. The ground state and the excited states are investigated using new generalized ladder operators.
description: 9 pages, Revtex. Preprint CBPF NF-032/03
Probing the Properties of the Pulsar Wind in the Gamma-Ray Binary HESS J0632+057 with NuSTAR and VERITAS Observations
Creators: name: Archer, A.
name: Benbow, W.
name: Bird, R.
name: Brill, A.
name: Brose, R.
name: Buchovecky, M.
name: Christiansen, J. L.
name: Chromey, A. J.
name: Cui, W.
name: Falcone, A.
name: Feng, Q.
name: Finley, J. P.
name: Fortson, L.
name: Furniss, A.
name: Gent, A.
name: Gillanders, G. H.
name: Giuri, C.
name: Gueta, O.
name: Hanna, D.
name: Hassan, T.
name: Hervet, O.
name: Holder, J.
name: Hughes, G.
name: Humensky, T. B.
name: Kaaret, P.
name: Kelley-Hoskins, N.
name: Kertzman, M.
name: Kieda, D.
name: Krause, Maria
name: Lang, M. J.
name: Maier, Gernot
name: Moriarty, P.
name: Mukherjee, R.
name: Nieto, D.
name: Nievas-Rosillo, M.
name: O'Brien, S.
name: Ong, R. A.
name: Otte, A. N.
name: Park, N.
name: Petrashyk, A.
name: Pfrang, K.
name: Pohl, M.
name: Prado, R. R.
name: Pueschel, E.
name: Quinn, J.
name: Ragan, K.
name: Reynolds, P. T.
name: Ribeiro, D.
name: Richards, G. T.
name: Roache, E.
name: Sadeh, I.
name: Santander, M.
name: Schlenstedt, S.
name: Sembroski, G. H.
name: Sushch, I.
name: Weinstein, A.
name: Wilcox, P.
name: Wilhelm, A.
name: Williams, D. A.
name: Williamson, T. J
name: Hailey, C. J.
name: Mandel, S.
name: Mori, K.
Publisher: name: Deutsches Elektronen-Synchrotron, DESY, Hamburg
Year: 2019

description: HESS J0632+057 is a gamma-ray binary composed of a compact object orbiting a Be star with a period of about $315$ days. Extensive X-ray and TeV gamma-ray observations have revealed a peculiar light curve containing two peaks, separated by a dip. We present the results of simultaneous observations in hard X-rays with NuSTAR and in TeV gamma-rays with VERITAS, performed in November and December 2017. These observations correspond to the orbital phases $\phi\approx0.22$ and $0.3$, where the fluxes are rising towards the first light-curve peak. A significant variation of the spectral index from 1.77$\pm$0.05 to 1.56$\pm$0.05 is observed in the X-ray data. The multi-wavelength spectral energy distributions (SED) derived from the observations are interpreted in terms of a leptonic model, in which the compact object is assumed to be a pulsar and non-thermal radiation is emitted by high-energy electrons accelerated at the shock formed by the collision between the stellar and pulsar wind. The results of the SED fitting show that our data can be consistently described within this scenario, and allow us to estimate the magnetization of the pulsar wind at the location of the shock formation. The constraints on the pulsar-wind magnetization provided by our results are shown to be consistent with those obtained from other systems.
Active sampling: A machine-learning-assisted framework for finite population inference with optimal subsamples
Creators: name: Imberg, Henrik
name: Yang, Xiaomi
name: Flannagan, Carol
name: Bärgman, Jonas
Publisher: name: arXiv
Year: 2022
Subjects: subject: Methodology (stat.ME)
subject: Applications (stat.AP)
subject: Computation (stat.CO)
subject: FOS: Computer and information sciences
subject: G.3
subject: 62D99, 62K05, 62L05, 62P30

description: Data subsampling has become widely recognized as a tool to overcome computational and economic bottlenecks in analyzing massive datasets. We contribute to the development of adaptive design for estimation of finite population characteristics, using active learning and adaptive importance sampling. We propose an active sampling strategy that iterates between estimation and data collection with optimal subsamples, guided by machine learning predictions on yet unseen data. The method is illustrated on virtual simulation-based safety assessment of advanced driver assistance systems. Substantial performance improvements are demonstrated compared to traditional sampling methods.
description: Accepted for Technometrics
Structural history of part of Kent Station quadrangle, Culberson and Jeff Davis Counties, Texas
Creators: name: Carleton, Alfred Townes, 1929-
Publisher: name: The University of Texas at Austin
Year: 1952
Subjects: subject: Geology, Structural--Texas--Culberson County
subject: Geology, Structural--Texas--Jeff Davis County

description: The Kent Station quadrangle lies on the southeastern flank of the Apache Mountains of Trans-Pecos Texas. By means of a plane-table and alidade survey, structural contours were constructed which revealed the structure as a gentle south-dipping homocline which has been modified by normal faults of a northwest strike, a syncline with the same trend, and gentle warps. The area has been subjected to movements which date from pre-Ordovician time. During pre-Pennsylvanian time it was the site of an epeiric basin which received foreland deposits. In Pennsylvanian time it represented a foreland range to the northwest of the Marathon uplift. Its Permian history was characterized by the deposition of back-reef facies. After receiving middle and late Cretaceous sediments, the area was block faulted and uplifted to become a part of the Tertiary basin and range province
Dynamics as a mechanism preventing the formation of finer and finer microstructure
Creators: name: G  Friesecke
name: J. B. McLeod
Publisher: name: Carnegie Mellon University
Year: 1994
Subjects: subject: 19999 Mathematical Sciences not elsewhere classified
subject: FOS: Mathematics

description: Abstract: "We study the dynamics of pattern formation in the one-dimensional partial differential equation u[subscript tt] - (W(╠üu[subscript x]))[subscript x] - u[subscript zzt] + u = 0 (u = u(x,t), x [epsilon] (0,1), t > 0) proposed recently by Ball, Holmes, James, Pego & Swart [BHJPS] as a mathematical 'cartoon' for the dynamic formation of microstructures observed in various crystalline solids. Here W is a double-well potential like 1/4((u[subscript x])┬▓-1)┬▓. What makes this equation interesting and unusual is that it possesses as a Lyapunov function a free energy (consisting of kinetic energy plus a nonconvex 'elastic' energy, but no interfacial energy contribution) which does not attain a minimum but favours the formation of finer and finer phase mixtures: [equation]. Our analysis of the dynamics confirms the following surprising and striking difference between statics and dynamics, conjectured in [BHJPS] on the basis of numerical simulations of Swart & Holmes [SH]: While minimizing the above energy predicts infinitely fine patterns (mathematically: weak but not strong convergence of all minimizing sequences (u[subscript n, v[subscript n]) of E[u,v] in the Sobolev space W[superscript 1,p](0,1) x L┬▓(0,1)), solutions to the evolution equation of Ball et al. typically develop patterns of small but finite length scale (mathematically: strong convergence in W[superscript 1,p](0,1) x L┬▓(0,1) of all solutions (u(t), u[subscript t](t)) with low initial energy as time t -> [infinity]). Moreover, in order to understand the finer details of why the dynamics fails to mimic the behaviour of minimizing sequences and how solutions select their limiting pattern, we present a detailed analysis of the evolution of a restricted class of initial data -- those where the strain field u[subscript x] has a transition layer structure; our analysis includes proofs that at low energy, the number of phases is in fact exactly preserved, that is, there is no nucleation or coarsening, transition layers lock in and steepen exponentially fast, converging to discontinuous stationary sharp interfaces as time t -> [infinity], the limiting patterns -- while not minimizing energy globally -- are 'relative minimizers' in the weak sense of the calculus of variations, that is, minimizers among all patterns which share the same strain interface positions."
Job Management and Task Bundling
Creators: name: Berkowitz, Evan
name: Jansen, Gustav R.
name: McElvain, Kenneth
name: Walker-Loud, André
Publisher: name: arXiv
Year: 2017
Subjects: subject: High Energy Physics - Lattice (hep-lat)
subject: Distributed, Parallel, and Cluster Computing (cs.DC)
subject: Computational Physics (physics.comp-ph)
subject: FOS: Physical sciences
subject: FOS: Computer and information sciences

description: High Performance Computing is often performed on scarce and shared computing resources. To ensure computers are used to their full capacity, administrators often incentivize large workloads that are not possible on smaller systems. Measurements in Lattice QCD frequently do not scale to machine-size workloads. By bundling tasks together we can create large jobs suitable for gigantic partitions. We discuss METAQ and mpi_jm, software developed to dynamically group computational tasks together, that can intelligently backfill to consume idle time without substantial changes to users' current workflows or executables.
description: 8 pages, 3 figures, LATTICE 2017 proceedings
Three Comments on "A Simple Incremental Modelling of Granular-Media Mechanics"
Creators: name: Evesque, P.
Publisher: name: arXiv
Year: 2005
Subjects: subject: Soft Condensed Matter (cond-mat.soft)
subject: Materials Science (cond-mat.mtrl-sci)
subject: FOS: Physical sciences

description: Using the recent incremental modelling, it is shown that the trajectory of a sample in the phase space of soil mechanics in the vicinity of the critical state is not governed by the rigidity matrix, but by its variations. The characteristics are used to predict that pseudo Young modulus tends to 0 as B -M-1 tends to 0, i.e. near the critical point, where B is the vertical-to-lateral-stress ratio during an axi-symmetric test. An attempt to understand and predict unstable behaviours is done using the same modelling. Compatibility of this modelling with results on soil liquefaction is emphasised.
description: 6 pages, 1 figure
A new technique for the radiocarbon dating of mortar
Creators: name: Valastro, Salvatore, 1931-
Publisher: name: The University of Texas at Austin
Year: 1975
Subjects: subject: Radiocarbon dating
subject: Mortar

description: Development of a modified mortar dating technique by the ¹⁴C method is described. This procedure may be very valuable in the detailed dating of the construction of ancient buildings and may even resolve different events or phases of construction in the same structure. Carbon-14 analysis of samples is commonly carried out on wood or charcoal derived from wood. The dates obtained from this type of samples often give ages which are too old because they may well refer to the time when the tree was still young and therefore may not reflect the age of construction. Mortar dating, however, refers to the time of building construction because contemporary ¹⁴C in the atmosphere is imbibed by the mortar during the setting or hardening process. Earlier mortar dating attempts were complicated by dead carbon (carbon containing no contemporary ¹⁴C isotope) contributed by limestone or marble contained in the aggregate The new technique is dependent on a method which separates nearly all of the aggregate from the mortar and then evolves only the first fraction of CO₂ during the acidification process. Since the ¹⁴C content of the mortar was totally absorbed as part of atmospheric CO₂, the radiocarbon assay of the sample will give an age equivalent to the setting or hardening process. Five samples of mortar from Stobi were processed and assayed as a preliminary test of the technique. Stobi is an archaeological site in Macedonian Yugoslavia that was an important provincial town during Roman and early Byzantine time. A small sample taken from the narthex floor of the Central Basilica, dated archaeologically as late 4th or 5th century A.D., gave a radiocarbon date of 260 ± 180 A.D. (sample no. Tx-1431). Another sample (Tx-1944) from the same Basilica Floor 1 produced two dates with an average of 372 ± 60 A.D., which is in excellent agreement with the archaeological age estimate. Two samples from the Theater produced six dates averaging 233 ± 32 A.D. (no. Tx-1941, Tx-1942); the archaeological age estimate places the Theater in the late 1st to early 2nd century A.D. Sample no. Tx-1943 taken from the principal construction phase of the Episcopal Basilica, whose archaeological age estimate is about 400 A.D., gave an average age of 302 ± 60 A.D. In the East City Wall area, a layer of mortar with 4th century pottery above and below gave a date (no. Tx-1940) of 115 ± 60 B.C. This particular sample may have been contaminated because the area in which it was taken is subjected to annual flooding. Another possibility is the redeposition of the mortar. Thus, the geologic circumstances that can affect mortar evidently need to be investigated. All the dates above were subsequently corrected for ¹⁴C half-life of 5730 years, dendrochronology, and were tentatively corrected for δ¹³C fractionation
Learning to Generate All Feasible Actions
Creators: name: Theile, Mirco
name: Bernardini, Daniele
name: Trumpp, Raphael
name: Piazza, Cristina
name: Caccamo, Marco
name: Sangiovanni-Vincentelli, Alberto L.
Publisher: name: arXiv
Year: 2023
Subjects: subject: Machine Learning (cs.LG)
subject: Artificial Intelligence (cs.AI)
subject: FOS: Computer and information sciences

description: Modern cyber-physical systems are becoming increasingly complex to model, thus motivating data-driven techniques such as reinforcement learning (RL) to find appropriate control agents. However, most systems are subject to hard constraints such as safety or operational bounds. Typically, to learn to satisfy these constraints, the agent must violate them systematically, which is computationally prohibitive in most systems. Recent efforts aim to utilize feasibility models that assess whether a proposed action is feasible to avoid applying the agent's infeasible action proposals to the system. However, these efforts focus on guaranteeing constraint satisfaction rather than the agent's learning efficiency. To improve the learning process, we introduce action mapping, a novel approach that divides the learning process into two steps: first learn feasibility and subsequently, the objective by mapping actions into the sets of feasible actions. This paper focuses on the feasibility part by learning to generate all feasible actions through self-supervised querying of the feasibility model. We train the agent by formulating the problem as a distribution matching problem and deriving gradient estimators for different divergences. Through an illustrative example, a robotic path planning scenario, and a robotic grasping simulation, we demonstrate the agent's proficiency in generating actions across disconnected feasible action sets. By addressing the feasibility step, this paper makes it possible to focus future work on the objective part of action mapping, paving the way for an RL framework that is both safe and efficient.
On the proper treatment of improper distributions
Creators: name: Lindqvist, Bo H.
name: Taraldsen, Gunnar
Publisher: name: arXiv
Year: 2017
Subjects: subject: Statistics Theory (math.ST)
subject: Methodology (stat.ME)
subject: FOS: Mathematics
subject: FOS: Computer and information sciences
subject: 62C10 (Primary) 62A01, 60A05, 60A10 (Secondary)

description: The axiomatic foundation of probability theory presented by Kolmogorov has been the basis of modern theory for probability and statistics. In certain applications it is, however, necessary or convenient to allow improper (unbounded) distributions, which is often done without a theoretical foundation. The paper reviews a recent theory which includes improper distributions, and which is related to Renyi's theory of conditional probability spaces. It is in particular demonstrated how the theory leads to simple explanations of apparent paradoxes known from the Bayesian literature. Several examples from statistical practice with improper distributions are discussed in light of the given theoretical results, which also include a recent theory of convergence of proper distributions to improper ones.
description: Journal of Statistical Planning and Inference, 2017
Eigensolutions of the Wigner--Eisenbud problem for a cylindrical nanowire within finite volume method
Creators: name: Racec, Paul N.
name: Schade, Stanley
name: Kaiser, Hans-Christoph
Publisher: name: Weierstrass Institute
Year: 2012
Subjects: subject: Finite element method
subject: Schrödinger operator
subject: cylindrical coordinates
subject: R-matrix formalism
subject: Wigner--Eisenbud problem
subject: nanowire
subject: 65N30
subject: 65Z05
subject: 35P99
subject: 62.23.Hj
subject: 73.63.-b
subject: 71.15.-m

description: We present a finite volume method for computing a representative range of eigenvalues and eigenvectors of the Schrödinger operator on a three dimensional cylindrically symmetric bounded domain with mixed boundary conditions. More specifically, we deal with a semiconductor nanowire which consists of a dominant host material and contains heterostructure features such as double-barriers or quantum dots. The three dimensional Schrödinger operator is reduced to a family of two dimensional Schrödinger operators distinguished by a centrifugal potential. Ultimately, we numerically treat them by means of a finite volume method. We consider a uniform, boundary conforming Delaunay mesh, which additionally conforms to the material interfaces. The 1/r singularity is eliminated by approximating r at the vertexes of the Voronoi boxes. We study how the anisotropy of the effective mass tensor acts on the uniform approximation of the first K eigenvalues and eigenvectors and their sequential arrangement. There exists an optimal uniform Delaunay discretization with matching anisotropy. This anisotropic discretization yields best accuracy also in the presence of a mildly varying scattering potential, shown exemplarily for a nanowire resonant tunneling diode. For potentials with 1/r singularity one retrieves the theoretically established first order convergence, while the second order convergence is recovered only on uniform grids with an anisotropy correction.
title: ADCO, Cartulaire général de Cîteaux, dit de Jean de Cirey, (XVe siècle), tome I, Cart. 185 (11 H 70), f. 0175v
Creators: name: de la Côte d'Or, Archives départementales
name: Archives Départementales De La Côte-D'Or
name: Petot, Frédérique
name: Projet CBMA
name: CG21/F.PETOT/2012
Publisher: name: NAKALA - https://nakala.fr (Huma-Num - CNRS)
publisherIdentifier: https://ror.org/04ces3204
publisherIdentifierScheme: ROR
Year: 2020
Subjects: subject: Chartes de la Bourgogne du Moyen Âge
subject: cartulaire
subject: LaMOP
subject: Laboratoire de Médiévistique Occidentale de Paris
subject: Corpus Burgundiae Medii Aevi

description: Cartulaire général de Cîteaux, dit de Jean de Cirey, (XVe siècle), tome I, Archives départementales de la Côte-d'Or, Cart. 185 (11 H 70), f. 0175v, Numérisation en mode image.
description: Relation: http://www.cbma-project.eu/
description: Bibliographic citation: Cartulaire général de Cîteaux, dit de Jean de Cirey, (XVe siècle), tome I, Archives départementales de la Côte-d'Or, Cart. 185 (11 H 70), f. 0175v, in Projet CBMA - Corpus Burgundiae Medii Aevi [Ressource en ligne], https:// manuscrits.cbma-project.eu/
description: Provenance: https://www.geonames.org/3024876
description: Provenance: http://www.idref.fr/030974844/id
description: Provenance: https://catalogue.bnf.fr/ark:/12148/cb12228351v
description: Provenance: abbaye de Cîteaux
description: Provenance: http://www.wikidata.org/entity/Q843261
Challenges of cellwise outliers
Creators: name: Raymaekers, Jakob
name: Rousseeuw, Peter J.
Publisher: name: arXiv
Year: 2023
Subjects: subject: Methodology (stat.ME)
subject: Computation (stat.CO)
subject: FOS: Computer and information sciences

description: It is well-known that real data often contain outliers. The term outlier typically refers to a case, that is, a row of the $n \times d$ data matrix. In recent times a different type has come into focus, the cellwise outliers. These are suspicious cells (entries) that can occur anywhere in the data matrix. Even a relatively small proportion of outlying cells can contaminate over half the rows, which is a problem for rowwise robust methods. In this article we discuss the challenges posed by cellwise outliers, and some methods developed so far to deal with them. We obtain new results on cellwise breakdown values for location, covariance and regression. We also propose a cellwise robust method for correspondence analysis, with real data illustrations. The paper concludes by formulating some points for debate.
Dynamics and oscillatory microstructure in a model of displacive phase transformations
Creators: name: Fonseca, Irene
name: Brandon, Deborah
name: Swart, Pieter J.
Publisher: name: Carnegie Mellon University
Year: 1994
Subjects: subject: 19999 Mathematical Sciences not elsewhere classified
subject: FOS: Mathematics

description: Mathematics Technical Report
Constructing "hair" for the three charge hole
Creators: name: Mathur, Samir D.
name: Saxena, Ashish
name: Srivastava, Yogesh K.
Publisher: name: arXiv
Year: 2003
Subjects: subject: High Energy Physics - Theory (hep-th)
subject: General Relativity and Quantum Cosmology (gr-qc)
subject: FOS: Physical sciences

description: It has been found that the states of the 2-charge extremal D1-D5 system are given by smooth geometries that have no singularity and no horizon individually, but a `horizon' does arise after `coarse-graining'. To see how this concept extends to the 3-charge extremal system, we construct a perturbation on the D1-D5 geometry that carries one unit of momentum charge $P$. The perturbation is found to be regular everywhere and normalizable, so we conclude that at least this state of the 3-charge system behaves like the 2-charge states. The solution is constructed by matching (to several orders) solutions in the inner and outer regions of the geometry. We conjecture the general form of `hair' expected for the 3-charge system, and the nature of the interior of black holes in general.
description: 37 pages, 7 figures LaTex, Minor revision in the discussion
A Syntax for Strictly Associative and Unital $\infty$-Categories
Creators: name: Finster, Eric
name: Rice, Alex
name: Vicary, Jamie
Publisher: name: arXiv
Year: 2023
Subjects: subject: Category Theory (math.CT)
subject: Logic in Computer Science (cs.LO)
subject: FOS: Mathematics
subject: FOS: Computer and information sciences

description: We present the first definition of strictly associative and unital $\infty$-category. Our proposal takes the form of a type theory whose terms describe the operations of such structures, and whose definitional equality relation enforces desired strictness conditions. The key technical device is a new computation rule in the definitional equality of the theory, which we call insertion, defined in terms of a universal property. On terms for which it is defined, this operation "inserts" one of the arguments of a substituted coherence into the coherence itself, appropriately modifying the pasting diagram and result type, and simplifying the syntax in the process. We generate an equational theory from this reduction relation and we study its properties in detail, showing that it yields a decision procedure for equality.
 Expressed as a type theory, our model is well-adapted for generating and verifying efficient proofs of higher categorical statements. We illustrate this via an OCaml implementation, and give a number of examples, including a short encoding of the syllepsis, a 5-dimensional homotopy that plays an important role in the homotopy groups of spheres.
description: 38 pages, 9 figures
Variability of NGC 4051 and the Nature of Narrow-Line Seyfert 1 Galaxies
Creators: name: Peterson, B. M.
name: McHardy, I. M.
name: Wilkes, B. J.
Publisher: name: arXiv
Year: 2000
Subjects: subject: Astrophysics (astro-ph)
subject: FOS: Physical sciences

description: We report on a three-year program of coordinated X-ray and optical monitoring of the Narrow-Line Seyfert 1 galaxy NGC 4051. The rapid continuum variations observed in the X-ray spectra are not detected in the optical, although the X-ray and optical continuum fluxes are correlated on time scales of many weeks and longer. Variations in the flux of the broad H-beta line are found to lag behind the optical continuum variations by approximately 6 days (with an uncertainty of 2-3 days), and combining this with the line width yields a virial mass estimate of about 1.1e6 solar masses, at the very low end of the distribution of AGN masses measured by line reverberation. Strong variability of He II lambda 4686 is also detected, and the response time measured is similar to that of H-beta, but with a much larger uncertainty. The He II lambda 4686 line is almost five times broader than H-beta, and it is strongly blueward asymmetric, as are the high-ionization UV lines recorded in archive spectra of NGC 4051. The data are consistent with the Balmer lines arising in a low-inclination (nearly face-on) disk-like configuration, and the high-ionization lines arising in an outflowing wind, of which we observe preferentially the near side. During the third year of monitoring, both the X-ray continuum and the He II lambda 4686 line went into extremely low states, although the optical continuum and the H-beta broad line were both still present and variable. We suggest that the inner part of the accretion disk may have gone into an advection-dominated state, yielding little radiation from the hotter inner disk.
description: Invited talk presented at the Joint MPE,AIP,ESO workshop on NLS1s, Bad Honnef, Dec. 1999, to appear in New Astronomy Reviews; also available at http://wave.xray.mpe.mpg.de/conferences/nls1-workshop
Dynamical modeling of phase transitions by means of viscoelasticity in many dimensions
Creators: name: Rybka, Piotr
Publisher: name: Carnegie Mellon University
Year: 1991
Subjects: subject: 19999 Mathematical Sciences not elsewhere classified
subject: FOS: Mathematics

description: Abstract: "We study the equations of viscoelasticity in a multidimensional setting for the 'no-traction' boundary data. For the sake of modeling phase transitions we do not assume ellipticity of the stored energy function W. We construct dynamics in W[superscript 1,2]([omega], r[superscript n]) globally in time. Next, we study the question of stability for a class of equilibria. Moreover, we show certain kind of decay in time of solutions for arbitrary initial conditions."
Topology of Roscoe's- and Hvorslev's- Surfaces in the Phase Space of Soil Mechanics
Creators: name: Evesque, P.
Publisher: name: arXiv
Year: 2005
Subjects: subject: Soft Condensed Matter (cond-mat.soft)
subject: FOS: Physical sciences

description: In general, the evolution of soil submitted to simple stress-strain paths is characterized using the 3d phase space (v,p',q) i.e. (specific volume, mean intergranular pressure, deviatoric stress); one finds that all trajectories end up at a line of attracting point called the critical-state line. The surface of Roscoe (Hvorslev) is defined as the surface made of the last part of the set of trajectories ending to a given critical point and coming from all states of normally consolidated soils (from all states of over consolidated soils). It is demonstrated that these two sets are part of the same surface, which is confirmed by experimental data.
description: 12 pages, 1 Figure
The ab initio study of unconventional superconductivity in CeCoIn$_{5}$ and FeSe
Creators: name: Ptok, Andrzej
name: Kapcia, Konrad J.
name: Piekarz, Przemysław
name: Oleś, Andrzej M.
Publisher: name: arXiv
Year: 2017
Subjects: subject: Superconductivity (cond-mat.supr-con)
subject: Materials Science (cond-mat.mtrl-sci)
subject: Strongly Correlated Electrons (cond-mat.str-el)
subject: Computational Physics (physics.comp-ph)
subject: FOS: Physical sciences

description: Electronic structure and the shape of the Fermi surface are known to be of fundamental importance for the superconducting instability in real materials. We demonstrate that such an instability may be explored by static Cooper pair susceptibility renormalized by pairing interaction and present an efficient method of its evaluation using Wannier orbitals derived from ab initio calculation. As an example, this approach is used to search for an unconventional superconducting phase of the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) type in a heavy-fermion compound CeCoIn$_5$ and an iron-based superconductor FeSe. The results suggest that the FFLO superconducting phase occurs at finite magnetic field in both materials.
description: 22 pages, 7 figures, IOP LaTeX class. Submitted to New Journal of Physics
Computational Study on the Growth and Reactivity of Hexagonal Boron Nitride
Creators: name: Payne, Anthony John Ramsay
Publisher: name: University of Surrey
Year: 2025
Subjects: DFT
Boron Nitride
Hydrogen
Ammonia
Water
Nitrogen Oxides
AIMD
Air Pollution
Chemical Reactions
Chemical Synthesis
Nanostructured Materials

description: The growth mechanism and properties of pristine, defective and doped two-dimensional (2D) materials,
description: including hexagonal boron nitride (hBN), are of significant interest for a wide variety of applications,
description: including electronics, sensors, coatings and catalysis. This thesis advances the understanding of hBN
description: growth mechanisms, investigates novel vacancy defects for environmental catalysis, and analyses water
description: molecule behaviour on hBN. Chemical vapour deposition (CVD) of hBN on ruthenium, using borazine
description: as a precursor, is a commonly used method for hBN synthesis. Through a combination of in situ
description: helium atom scattering measurements and Density Functional Theory (DFT) calculations, a nanoporous
description: intermediate of hBN is identified on Ru(0001), with the temperature-dependent growth mechanism
description: determined by a comprehensive evaluation of borazine reactions, combined with the construction of
description: a microkinetic model. These results reveal how site-specific preferences, selective dehydrogenation, and
description: energy barriers influence nanoporous structure formation, providing new insights for hBN synthesis.
description: Defects in hBN offer sites of novel reactivity; the potential of hBN defects for hydrogen generation by
description: dehydrogenation of ammonia at vacancy defects is explored. The reaction proceeds via a hydrogenated
description: vacancy intermediate with substrate-supported hBN, significantly enhancing H2 desorption. Further
description: investigation of the hydrogenated hBN vacancy revealed that this defect is capable of performing NOx
description: reduction. Our findings suggest feasible reaction conditions for converting NO2 into benign H2O,
description: demonstrating the potential for metal-free catalysis using hBN defects. Additionally, a combination of
description: DFT and ab initio molecular dynamics (AIMD) simulations was used to analyse the behaviour of a water
description: molecule on the surface of hBN and graphene materials with and without substrate. Comparing water
description: on hBN and graphene highlighted the impact of potential energy surface corrugation and vibrational
description: coupling on water diffusion, which is of interest for protective and anti-icing coatings. The research
description: presented in this thesis demonstrates hBN’s potential for environmental catalysis, H2 production, and
description: offers approaches for further exploration of nanomaterials
Encapsulated silicon nitride nanobeam cavity for nanophotonics using layered materials
Creators: name: Fryett, Taylor K.
name: Chen, Yueyang
name: Whitehead, James
name: Peycke, Zane Matthew
name: Xu, Xiaodong
name: Majumdar, Arka
Publisher: name: arXiv
Year: 2017
Subjects: subject: Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
subject: FOS: Physical sciences

description: Most existing implementations of silicon nitride photonic crystal cavities rely on suspended membranes due to the low refractive index of silicon nitride. Such floating membranes are not mechanically robust, making them suboptimal for developing a hybrid optoelectronic platform where new materials, such as layered 2D materials, are transferred on a pre-existing optical cavity. To address this issue, we propose a silicon nitride nanobeam resonator design where the silicon nitride membrane is encapsulated by material with a refractive index of ~1.5, such as silicon dioxide or PMMA. The theoretically calculated quality factor of the cavities can be as large as 100,000 , with a mode-volume of 2.5 times the cubic wavelength. We fabricated the cavity, and measured the transmission spectrum with highest quality factor of 7000. We also successfully transferred monolayer tungsten diselenide on the encapsulated silicon nitride nanobeam, and demonstrated coupling of the cavity with the monolayer exciton and the defect emissions.
Improving Performance of Quantum Heat Engines using modified Otto cycle
Creators: name: S, Revathy B.
name: Sharma, Harsh
name: Divakaran, Uma
Publisher: name: arXiv
Year: 2023
Subjects: subject: Quantum Physics (quant-ph)
subject: FOS: Physical sciences

description: The efficiency of a quantum heat engine is maximum when the unitary strokes are adiabatic. On the other hand, this may not be always possible due to small energy gaps in the system, especially at the critical point where the gap vanishes. With the aim to achieve this adiabaticity, we modify one of the unitary strokes of the cycle by allowing the system to evolve freely with a particular Hamiltonian till a time so that the system reaches a less excited state. This will help in increasing the magnitude of the heat absorbed from the hot bath so that the work output and efficiency of the engine can be increased. We demonstrate this method using an integrable model and a non-integrable model as the working medium. In the case of a two spin system, the optimal value for the time till which the system needs to be freely evolved is calculated analytically in the adiabatic limit. The results show that implementing this modified stroke significantly improves the work output and efficiency of the engine, especially when it crosses the critical point.
description: 8 pages, 8 figures
Modeling of line roughness and its impact on the diffraction intensities and the reconstructed critical dimensions in scatterometry
Creators: name: Gross, Hermann
name: Henn, Mark-Alexander
name: Heidenreich, Sebastian
name: Rathsfeld, Andreas
name: Bär, Markus
Publisher: name: Weierstrass Institute
Year: 2012
Subjects: subject: diffraction gratings
subject: metrology
subject: 78A46
subject: 65N30
subject: 62P35

description: We investigate the impact of line edge and line width roughness (LER, LWR) on the measured diffraction intensities in angular resolved extreme ultraviolet (EUV) scatterometry for a periodic line-space structure designed for EUV lithography. LER and LWR with typical amplitudes of a few nanometers were previously neglected in the course of the profile reconstruction. The 2D rigorous numerical simulations of the diffraction process for periodic structures are carried out with the finite element method (FEM) providing a numerical solution of the two-dimensional Helmholtz equation. To model roughness, multiple calculations are performed for domains with large periods, containing many pairs of line and space with stochastically chosen line and space widths. A systematic decrease of the mean efficiencies for higher diffraction orders along with increasing variances is observed and established for different degrees of roughness. In particular, we obtain simple analytical expressions for the bias in the mean efficiencies and the additional uncertainty contribution stemming from the presence of LER and/or LWR. As a consequence this bias can easily be included into the reconstruction model to provide accurate values for the evaluated profile parameters. We resolve the sensitivity of the reconstruction from this bias by using the LER/LWR perturbed efficiency datasets for multiple reconstructions. If the scattering efficiencies are bias-corrected, significant improvements are found in the reconstructed bottom and top widths toward the nominal values.