cometadata/datacite-rtg-text-other-reclassification-records huggingface dataset:
The BeppoSAX view of NLS1s
Creators: name: Comastri, Andrea
Publisher: name: arXiv
Year: 2000
Subjects: subject: Astrophysics (astro-ph)
subject: FOS: Physical sciences

description: The main results of broad-band (0.1-10 keV) BeppoSAX observations of a selected sample of NLS1s are presented and discussed. It is shown that all the available data are consistent with a scenario in which NLS1s are running at a high accretion rate.
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
On the peel number and the leaf-height of a Galton-Watson tree
Creators: name: Devroye, Luc
name: Goh, Marcel K.
name: Zhao, Rosie Y.
Publisher: name: arXiv
Year: 2021
Subjects: subject: Probability (math.PR)
subject: FOS: Mathematics
subject: 60J80

description: We study several parameters of a random Bienaymé-Galton-Watson tree $T_n$ of size $n$ defined in terms of an offspring distribution $ξ$ with mean $1$ and nonzero finite variance $σ^2$. Let $f(s)={\bf E}\{s^ξ\}$ be the generating function of the random variable $ξ$. We show that the independence number is in probability asymptotic to $qn$, where $q$ is the unique solution to $q = f(1-q)$. One of the many algorithms for finding the largest independent set of nodes uses a notion of repeated peeling away of all leaves and their parents. The number of rounds of peeling is shown to be in probability asymptotic to $\log n / \log\bigl(1/f'(1-q)\bigr)$. Finally, we study a related parameter which we call the leaf-height. Also sometimes called the protection number, this is the maximal shortest path length between any node and a leaf in its subtree. If $p_1 = {\bf P}\{ξ=1\}>0$, then we show that the maximum leaf-height over all nodes in $T_n$ is in probability asymptotic to $\log n/\log(1/p_1)$. If $p_1 = 0$ and $κ$ is the first integer $i>1$ with ${\bf P}\{ξ=i\}>0$, then the leaf-height is in probability asymptotic to $\log_κ\log n$.
description: 20 pages, 5 figures, 1 table, revised according to referee suggestions, added missing "the" in the arXiv metadata title
Explicitly symmetrical treatment of three-body phase space
Creators: name: Davydychev, A. I.
name: Delbourgo, R.
Publisher: name: arXiv
Year: 2003
Subjects: subject: High Energy Physics - Theory (hep-th)
subject: FOS: Physical sciences

description: We derive expressions for three-body phase space that are explicitly symmetrical in the masses of the three particles. We study geometrical properties of the variables involved in elliptic integrals and demonstrate that it is convenient to use the Jacobian zeta function to express the results in four and six dimensions.
description: 20 pages, latex, 2 postscript figures
Evolution of post-Accretion Induced Collapse Binaries: the Effect of Evaporation
Creators: name: Liu, Wei-Min
name: Li, Xiang-Dong
Publisher: name: arXiv
Year: 2017
Subjects: subject: Solar and Stellar Astrophysics (astro-ph.SR)
subject: High Energy Astrophysical Phenomena (astro-ph.HE)
subject: FOS: Physical sciences

description: Accretion-induced collapse (AIC) is widely accepted to be one of the formation channels for millisecond pulsars (MSPs). Since the MSPs have high spindown luminosities, they can immediately start to evaporate their companion stars after birth. In this paper we present a detailed investigation on the evolution of the post-AIC binaries, taking into account the effect of evaporation both before and during the Roche-lobe overflow process. We discuss the possible influence of the input parameters including the evaporation efficiency, the initial spin period and the initial surface magnetic field of the newborn neutron star. We compare the calculated results with the traditional low-mass X-ray binary evolution, and suggest that they may reproduce at least part of the observed redbacks and black widows in the companion mass - orbital period plane depending on the mechanisms of angular momentum loss associated with evaporation.
description: 25 pages, 13 figures, accepted for publication in ApJ
title: ÐÑÐ¾ÐµÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð²Ð¾Ð´Ð¾Ð¿ÑÐ¸ÐµÐ¼Ð½Ð¸ÐºÐ¾Ð² Ð´ÐµÑÐ¸Ð²Ð°ÑÐ¸Ð¾Ð½Ð½ÑÑ Ð³Ð¸Ð´ÑÐ¾ÑÐ·Ð»Ð¾Ð²
title: ÑÑÐµÐ±Ð½Ð¾Ðµ Ð¿Ð¾ÑÐ¾Ð±Ð¸Ðµ
titleType: Subtitle
Creators: name: ÐÐ½Ð´ÑÐµÐµÐ², ÐÐ»ÐµÐºÑÐµÐ¹
Publisher: name: [ÐÐ·Ð´-Ð²Ð¾ Ð¡ÐÐ±ÐÐ¢Ð£]
Year: 1995
Subjects: ÐÐ¾Ð´Ð¾Ð¿ÑÐ¸ÐµÐ¼Ð½Ð¸ÐºÐ¸

description: Ð Ð°ÑÑÐ¼Ð°ÑÑÐ¸Ð²Ð°ÑÑÑÑ ÑÑÐ°Ð¿Ñ Ð¿ÑÐ¾ÐµÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¸ ÑÐ°ÑÑÐµÑÐ° Ð¾ÑÐ½Ð¾Ð²Ð½ÑÑ ÑÐ¾Ð¾ÑÑÐ¶ÐµÐ½Ð¸Ð¹Â­ Ð±ÐµÐ·Ð½Ð°Ð¿Ð¾ÑÐ½Ð¾Ð¹ Ð´ÐµÑÐ¸Ð²Ð°ÑÐ¸Ð¸ Ð² ÑÐ¾ÑÑÐ°Ð²Ðµ Ð²Ð¾Ð´Ð¾ÑÑÐ°Ð½Ð¸Ð»Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð³Ð¸Ð´ÑÐ¾ÑÐ·Ð»Ð°. ÐÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ Ð¾ÑÐ½Ð¾Ð² ÑÐ°ÑÑÐµÑÐ° Ð¸ Ð¿ÑÐ¾ÐµÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð²Ð¾Ð´Ð¾Ð·Ð°Ð±Ð¾ÑÐ½ÑÑ ÑÐ¾Ð¾ÑÑÐ¶ÐµÐ½Ð¸Ð¹ Ð¸Ð»Ð»ÑÑÑÑÐ¸ÑÑÑÑÑÑ Ð½Ð° Ð¿ÑÐ¸Ð¼ÐµÑÐµ ÑÐ¾Ð¾ÑÑÐ¶ÐµÐ½Ð¸Ð¹ Ð±ÐµÑÐµÐ³Ð¾Ð²Ð¾Ð¹ ÐºÐ¾Ð¼Ð¿Ð¾Ð½Ð¾Ð²ÐºÐ¸ Ð² ÑÐ¾ÑÑÐ°Ð²Ðµ Ð³Ð¾Ð»Ð¾Ð²Ð½ÑÑ ÑÐ·Ð»Ð¾Ð² Ð±ÐµÐ·Ð½Ð°Ð¿Ð¾ÑÐ½Ð¾Ð¹ Ð´ÐµÑÐ¸Ð²Ð°ÑÐ¸Ð¸. ÐÑÐ²ÐµÑÐ°ÑÑÑÑ Ð¿ÑÐ¸Ð½ÑÐ¸Ð¿Ñ Ð¸ Ð¼ÐµÑÐ¾Ð´Ð¸ÐºÐ° Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð¸Ñ Ð¸Ð½Ð¶ÐµÐ½ÐµÑÐ½ÑÑ ÑÐ°ÑÑÐµÑÐ¾Ð² Ð²Ð¾Ð´Ð¾Ð¿ÑÐ¸ÐµÐ¼Ð½Ð¸ÐºÐ¾Ð² Ð¸ Ð´ÐµÑÐ¸Ð²Ð°ÑÐ¸Â­Ð¾Ð½Ð½ÑÑ ÐºÐ°Ð½Ð°Ð»Ð¾Ð², Ð¿ÑÐ¸Ð²Ð¾Ð´ÑÑÑÑ Ð¾ÑÐ½Ð¾Ð²Ð½ÑÐµ Ð¿Ð¾Ð»Ð¾Ð¶ÐµÐ½Ð¸Ñ Ð·ÐºÑÐ¿Ð»ÑÐ°ÑÐ°ÑÐ¸Ð¸ Ð´ÐµÑÐ¸Ð²Ð°ÑÐ¸Â­Ð¾Ð½Ð½ÑÑ ÑÐ¾Ð¾ÑÑÐ¶ÐµÐ½Ð¸Ð¹. ÐÐ°Ð½Ð½Ð¾Ðµ Ð¿Ð¾ÑÐ¾Ð±Ð¸Ðµ Ð¼Ð¾Ð¶Ð½Ð¾ ÑÐ°ÑÑÐ¼Ð°ÑÑÐ¸Ð²Ð°ÑÑ Ð² ÐºÐ°ÑÐµÑÑÐ²Ðµ ÑÐ°Ð·Ð²ÐµÑÐ½ÑÑÐ¾Ð³Ð¾ Ð¸Ð·Â­ Ð¿Ð¾Ð»Ð¾Ð¶ÐµÐ½Ð¸Ñ ÑÐ°ÑÑÐ¸ III ÑÐ°Ð·Ð´ÐµÐ»Ð° ÐºÑÑÑÐ° "ÐÐ¸Ð´ÑÐ¾ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ðµ ÑÐ¾Ð¾ÑÑÐ¶ÐµÐ½Ð¸Ñ" (ÐÐµÑÐ¸Ð²Ð°Â­ÑÐ¸Ð¾Ð½Ð½ÑÐµ Ð³Ð¸Ð´ÑÐ¾ÑÐ·Ð»Ñ). ÐÑÐµÐ´Ð½Ð°Ð·Ð½Ð°ÑÐµÐ½Ð¾ Ð´Ð»Ñ ÑÑÑÐ´ÐµÐ½ÑÐ¾Ð² ÑÑÐ°ÑÑÐ¸Ñ ÐºÑÑÑÐ¾Ð² ÑÐ¿ÐµÑÐ¸Ð°Ð»ÑÐ½Ð¾ÑÑÐ¸ 290400 Ð³Ð¸Ð´ÑÐ¾ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¾Ð³Ð¾ ÑÐ°ÐºÑÐ»ÑÑÐµÑÐ°, Ð²ÑÐ¿Ð¾Ð»Ð½ÑÑÑÐ¸Ñ ÐºÑÑÑÐ¾Ð²Ð¾Ð¹ Ð¿ÑÐ¾ÐµÐºÑ "ÐÐ¾Ð´Ð¾ÑÑÐ°Ð½Ð¸Ð»Ð¸ÑÐ½ÑÑ Ð³Ð¸Ð´ÑÐ¾ÑÐ·ÐµÐ»".
description: ÐÐµÑÐ°ÑÐ°ÐµÑÑÑ Ð¿Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ ÑÐµÐ´Ð°ÐºÑÐ¸Ð¾Ð½Ð½Ð¾-Ð¸Ð·Ð´Ð°ÑÐµÐ»ÑÑÐºÐ¾Ð³Ð¾ ÑÐ¾Ð²ÐµÑÐ° Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¾Ð³Ð¾ Ð³Ð¾ÑÑÐ´Ð°ÑÑÑÐ²ÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¾Ð³Ð¾ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑÐ°.
Architecture of unusually thick bottomsets and multidirectional sediment sourcing in deep lake clinothems, Dacian Basin, Romania
Creators: name: Kunpitaktakun, Takonporn
name: 0000-0002-4983-4044
Publisher: name: The University of Texas at Austin
Year: 2017
Subjects: Basin floor fans
Dacian Basin
Lake basin

description: The models for basin floor fans formed at lowstand or highstand condition of sea level are now well known. In this project an additional complexity is added to deep water fan architecture where sediment is fed to an inland-lake basin floor from widely dispersed,multiple directions. Late Miocene clinoforms some 300-450 m high feed down onto the basin floor and are easily recognized in 3-D seismic of the western Dacian Basin, a para-Tethys basin in Romania. The basin was a closed lake basin during most of its existence. The basin margin clinoforms can be difficult to recognize even across closely spaced well logs but in seismic data the three clinoform segments are well imaged, namely a 100-150 m thick, lower interval with coarse sandy deposits, an overlying 150-200 m thick muddy succession and and an upper 50-100 m thick succession of sandy deposits. The 3-D seismic data combined with seven well cross-sections are the main tools used here to investigate the architecture of the basin-floor fans. The submarine fans are surprisingly aggradational, reaching thicknesses 100-150 m in places, and the fans can be followed laterally on the seismic data for hundreds of kilometers. Spontaneous potential (SP) and resistivity logs of some 200 closely spaced (~300 m) wells have been correlated over an area of thick basin-floor fans. Shelf, shelf edge, slope and basin floor depositional systems were mapped on seismic data and also recognized in well logs. The well logs show that the fans are composed of vertically repeated 10-30 m thick sandstone units, interpreted here as fan lobes. The lobes have variable sandstone distribution with a range of coarsening or thinning upwards, blocky or ratty log patterns suggesting variable facies and depositional settings. Individual lobes extend from the lower slope and onto the basin floor. In the ‘distal’ area of one of the clinoforms the fans have thicker sandstone intervals,possibly representing lobes formed by sediment shed from a different directions Into this location on the basin floor. We are able to document deepwater fan-lobe sandstones with different orientations and variable thicknesses through time, as these are linked with variable rates and directions of basin margin progradation. As a consequence, the complexity of fan lobes and feeding directions makes it likely that sediment was supplied from multiple catchment areas. The unusual thickness of the Dachian Basin submarine fans relates both to the interfingering of differently oriented fans and to the tendency for a greater frequency of river-derived sediment-gravity flows reaching the basin floor of relatively fresh-water lakes. This high partitioning of sandy sediment into the clinothem bottomsets is likely to be similar in other enclosed lake basins.
Characterization of the High Island 24L Field for modeling and estimating CO₂ storage capacity in the offshore Texas state waters, Gulf of Mexico
Creators: name: Ruiz, Izaak
Publisher: name: The University of Texas at Austin
Year: 2019
Subjects: Carbon
Capture
Storage
Capacity
Gulf of Mexico
CCS
Miocene
Stratigraphy

description: Carbon, Capture, and Storage (CCS) is considered an essential technology that can contribute to reaching the IPCC’s target to limit global average temperature rise to no more than 2.0°C. The fundamental purpose of CCS is to reduce anthropogenic CO₂ emissions by capturing gas from large point sources and injecting it into deep geologic formations. In the offshore Texas State Waters (10.3 miles; 16.6 kilometers), the potential to develop CO₂ storage projects is viable, but the size of storage opportunity at the project level is poorly constrained. This research characterizes the High Island 24L Field, a relatively large historic hydrocarbon field, that has produced mainly natural gas (0.5 Tcf). The primary motivation for this study is to demonstrate that depleted gas fields can serve as volumetrically significant CO₂ storage sites. The stratigraphy of the inner continental shelf in the Gulf of Mexico has been extensively explored for hydrocarbon for over 50 years, and this area is well suited for CCS. Lower Miocene sandstones beneath the regional transgressive Amphistegina B shale have appropriate geologic properties (porosity, thickness, extent) and can be characterized utilizing 3D seismic and well logs in this study. Identifying key stratigraphic surfaces, faults, and mapping structural closure footprints illustrates the field’s geologic structure. The interpreted stratigraphic framework can then be used to model three different lithologic facies and effective porosity to calculate CO₂ storage capacity for both the ~200-ft (60-m) thick HC Sand (most productive gas reservoir) and the overlying thicker 1700 ft (520 m), but non-productive, Storage Interval of Interest. Four different methodologies are utilized to achieve confidence in the CO₂ storage capacity estimates. A storage capacity of 15 – 23 MT is calculated for the HC Sand and 108 – 179 MT for the Storage Interval of Interest by applying interpreted efficiency factors. This study evaluates the accuracy of these storage capacity methodologies to better understand the key geologic factors that influence CO₂ storage in a depleted hydrocarbon field for CCS
A new bismuth coordination polymer with proton conductivity and orange-red photoluminescence
Creators: name: Al-Nubi, Mesoun A. A.
name: Hamisu, Aliyu M.
name: Ariffin, Azhar
name: Zhang, Jinfeng
name: Shimizu, George K. H.
name: Jo, Hongil
name: Ok, Kang Min
name: Wibowo, Arief C.
Publisher: name: Taylor & Francis
Year: 2021
Subjects: subject: Biophysics
subject: Biochemistry
subject: 29999 Physical Sciences not elsewhere classified
subject: FOS: Physical sciences
subject: Pharmacology
subject: Biotechnology
subject: 39999 Chemical Sciences not elsewhere classified
subject: FOS: Chemical sciences
subject: 80699 Information Systems not elsewhere classified
subject: FOS: Computer and information sciences

description: A new highly water stable bismuth-containing coordination polymer is reported along with its structural characterizations as determined by single crystal and powder X-ray diffraction, elemental, and thermal analysis, featuring an orange-red photoluminescence, and proton conductivity. The compound, (Imi)2[Bi2(pzdc)4]·2H2O (1, pzdc2- = pyrazine-2,3-dicarboxylate; Imi = imidazolium cation), crystallizes in the monoclinic space group, P21/c (a = 14.3725(7) Å, b = 22.4499(10) Å, c = 11.5204(6) Å, and β = 91.1183(16)°), which contains 2D layers of Bi that are connected into a 3D supramolecular structure via extended hydrogen bond network. The interlayered voids are occupied by lattice water and imidazolium ions. Compound 1 is synthesized using an optimized, facile slow evaporation method leading to a water stable compound with a well-defined 1D hydrogen-bonded water feature along the crystallographic a-direction that lead to a proton conductivity of 8.41 × 10−6 S·cm−1 at 85 °C and 95% RH.
title: ADCO, Deuxième cartulaire ou Grand cartulaire de l'abbaye de Molesme, Cart. 143 (7 H 7), 153 fol, f. 0139v
Creators: name: de la Côte d'Or, Archives départementales
name: CG21/F.PETOT/2009
name: Petot, Frédéric
name: Archives Départementales De La Côte-D'Or
name: Petot, Frédérique
name: Projet CBMA
Publisher: name: NAKALA - https://nakala.fr (Huma-Num - CNRS)
publisherIdentifier: https://ror.org/04ces3204
publisherIdentifierScheme: ROR
Year: 2020
Subjects: subject: Corpus Burgundiae Medii Aevi
subject: Chartes de la Bourgogne du Moyen Âge
subject: cartulaire
subject: LaMOP
subject: Laboratoire de Médiévistique Occidentale de Paris

description: Deuxième cartulaire ou Grand cartulaire de l'abbaye de Molesme, Archives départementales de la Côte-d'Or, Cart. 143 (7 H 7), 153 fol, f. 0139v, Numérisation en mode image.
description: Relation: http://www.cbma-project.eu/
description: Bibliographic citation: Deuxième cartulaire ou Grand cartulaire de l'abbaye de Molesme, Archives départementales de la Côte-d'Or, Cart. 143 (7 H 7), 153 fol, f. 0139v, in Projet CBMA - Corpus Burgundiae Medii Aevi [Ressource en ligne], https:// manuscrits.cbma-project.eu/
description: Provenance: abbaye de Molesme
description: Provenance: http://www.wikidata.org/entity/Q334044
description: Provenance: https://catalogue.bnf.fr/ark:/12148/cb137389344
Additional file 1: of Short-term acceptability of female condom use among low-fee female sex workers in China: a follow-up study
Creators: name: Zhou, Chu
name: Hsieh, Evelyn
name: Rou, Keming
name: Tillman, Jonas
name: Dong, Wei
name: Feng, Xian-xiang
name: Yang, Yan-zhen
name: Yang, Yu-jun
name: Sun, Xian-guo
name: Zang, Hai-jian
name: Wu, Ying-zhen
name: Wu, Zunyou
Publisher: name: figshare
Year: 2019
Subjects: subject: Sociology
subject: FOS: Sociology
subject: Biological Sciences not elsewhere classified
subject: Developmental Biology

description: Interview Questionnaire (Baseline and follow-up visit). (DOCX 33 kb)
Hubbard-like Hamiltonian for ultracold atoms in a 1D optical lattice
Creators: name: Massel, Francesco
name: Penna, Vittorio
Publisher: name: arXiv
Year: 2005
Subjects: subject: Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
subject: FOS: Physical sciences

description: Based on the standard many-fermion field theory, the authors construct models describing ultracold fermions in a 1D optical lattices by implementing a mode expansion of the fermionic field operator where modes, in addition to space localization, take into account the quantum numbers inherent in local fermion interactions. The resulting models are generalized Hubbard Hamiltonians whose interaction parameters are derived by a fully-analytical calculation. The special interest for this derivation resides in its model-generating capability and in the flexibility of the trapping techniques that allow the tuning of the Hamiltonian interaction parameters over a wide range of values. While the Hubbard Hamiltonian is recovered in a very low-density regime for a fermionic system, in general, far more complicated Hamiltonians characterise high-density regimes, revealing a rich scenario for both the phenomenology of interacting trapped fermions and the experimental realization of devices for quantum information processing. As a first example of the different situations that may arise beyond the models well known in the literature (the unpolarized-spin fermion model and the noninteracting spin-polarized fermion model), we derive a Rotational Hubbard Hamiltonian describing the local rotational activity of spin-polarized fermions. Based on a standard techniques we obtain the mean-field version of our model Hamiltonian and show how different dynamical algebras characterize the case of attractive and repulsive two-body potentials.
description: 11 pages, 4 figures, 1 table
Silhouettes and quasi residual plots for neural nets and tree-based classifiers
Creators: name: Raymaekers, Jakob
name: Rousseeuw, Peter J.
Publisher: name: arXiv
Year: 2021
Subjects: subject: Machine Learning (stat.ML)
subject: Machine Learning (cs.LG)
subject: FOS: Computer and information sciences

description: Classification by neural nets and by tree-based methods are powerful tools of machine learning. There exist interesting visualizations of the inner workings of these and other classifiers. Here we pursue a different goal, which is to visualize the cases being classified, either in training data or in test data. An important aspect is whether a case has been classified to its given class (label) or whether the classifier wants to assign it to different class. This is reflected in the (conditional and posterior) probability of the alternative class (PAC). A high PAC indicates label bias, i.e. the possibility that the case was mislabeled. The PAC is used to construct a silhouette plot which is similar in spirit to the silhouette plot for cluster analysis (Rousseeuw, 1987). The average silhouette width can be used to compare different classifications of the same dataset. We will also draw quasi residual plots of the PAC versus a data feature, which may lead to more insight in the data. One of these data features is how far each case lies from its given class. The graphical displays are illustrated and interpreted on benchmark data sets containing images, mixed features, and tweets.
Complex Optical/UV and X-ray Variability of the Seyfert 1 galaxy 1H 0419-577
Creators: name: Pal, Main
name: Dewangan, Gulab C.
name: Kembhavi, Ajit K.
name: Misra, Ranjeev
name: Naik, Sachindra
Publisher: name: arXiv
Year: 2017
Subjects: subject: High Energy Astrophysical Phenomena (astro-ph.HE)
subject: FOS: Physical sciences

description: We present detailed broadband UV/optical to X-ray spectral variability of the Seyfert 1 galaxy 1H 0419-577 using six XMM-Newton observations performed during 2002-2003. These observations covered a large amplitude variability event in which the soft X-ray (0.3-2 keV) count rate increased by a factor of ~4 in six months. The X-ray spectra during the variability are well described by a model consisting of a primary power law, blurred and distant reflection. The 2-10 keV power-law flux varied by a factor ~7 while the 0.3-2 keV soft X-ray excess flux derived from the blurred reflection component varied only by a factor of ~2. The variability event was also observed in the optical and UV bands but the variability amplitudes were only at the 6-10% level. The variations in the optical and UV bands appear to follow the variations in the X-ray band. During the rising phase, the optical bands appear to lag behind the UV band but during the declining phase, the optical bands appear to lead the UV band. Such behavior is not expected in the reprocessing models where the optical/UV emission is the result of reprocessing of X-ray emission in the accretion disc. The delayed contribution of the broad emission lines in the UV band or the changes in the accretion disc/corona geometry combined with X-ray reprocessing may give rise to the observed behavior of the variations.
description: 15 pages, 10 figures, accepted for publication in MNRAS
Cosmology with Branes Wrapping Curved Internal Manifolds
Creators: name: Biswas, Tirthabir
Publisher: name: arXiv
Year: 2003
Subjects: subject: High Energy Physics - Theory (hep-th)
subject: FOS: Physical sciences

description: In this paper we first derive solutions which can be interpreted as branes wrapping nontrivial curved manifolds, and then study their cosmological implications. We find that at early times the branes tend to shrink the internal manifold, while allowing the ``unwrapped'' dimensions to expand in congruence with what has already been observed in the case when the internal manifold is flat (tori). However, at late times the internal curvature terms become important leading to potentially interesting differences.
description: Minor changes, the journal version, a few references added
Petrology and volcanic stratigraphy of the El Sueco area, Chihuahua, Mexico
Creators: name: Bockoven, Neil T.
Publisher: name: The University of Texas at Austin
Year: 1976
Subjects: subject: Petrology--Mexico--Chihuahua (State)
subject: Volcanism--Mexico--Chihuahua (State)

description: Detailed mapping of a 2000 km² area approximately midway between El Paso and Chihuahua City has delineated a greater than 1000 m section of rhyolitic, andesitic, and basaltic lava flows and rhyolitic ash-flow tuffs unconformably overlying Lower Cretaceous limestone. The area is dominated by large, NNW-trending fault-bounded mountains separated by bolsons. The volcanic section can be compositionally and texturally divided into four sequences: 1. A thick sequence of ash-flow tuffs and related volcaniclastic sediments lie over an erosional surface on Cretaceous limestone. These deposits comprise the Liebres formation, the first sequence. 2. Voluminous flows of the Rancho El Agate tholeiitic andesite, a crystal-rich unit which has a source in the map area, make up the second sequence. 3. Lava flows, plugs, flow domes, sills and minor ash-flow tuffs of the Gallego, Carneros, El Dos, and Mesteño rhyolites make up the third sequence of volcanic activity. Some of these rhyolite bodies domed the adjoining rocks. 4. Basalt and minor interlayered ash-flow tuffs comprise the fourth sequence. Chemical analyses indicate basaltic rocks of the area are metaluminous, and andesitic and rhyolitic rocks are peraluminous. A plot of alkalinity against silica indicates the rocks are gradational between the dominantly peraluminous rocks of the Sierra Madre Occidental and the metaluminous portion of the dominantly peralkaline rocks of Trans-Pecos Texas.
Deep graph matching meets mixed-integer linear programming: Relax at your own risk ?
Creators: name: Xu, Zhoubo
name: Chen, Puqing
name: Raveaux, Romain
name: Yang, Xin
name: Liu, Huadong
Publisher: name: arXiv
Year: 2021
Subjects: subject: Computer Vision and Pattern Recognition (cs.CV)
subject: Machine Learning (cs.LG)
subject: Optimization and Control (math.OC)
subject: FOS: Computer and information sciences
subject: FOS: Mathematics

description: Graph matching is an important problem that has received widespread attention, especially in the field of computer vision. Recently, state-of-the-art methods seek to incorporate graph matching with deep learning. However, there is no research to explain what role the graph matching algorithm plays in the model. Therefore, we propose an approach integrating a MILP formulation of the graph matching problem. This formulation is solved to optimal and it provides inherent baseline. Meanwhile, similar approaches are derived by releasing the optimal guarantee of the graph matching solver and by introducing a quality level. This quality level controls the quality of the solutions provided by the graph matching solver. In addition, several relaxations of the graph matching problem are put to the test. Our experimental evaluation gives several theoretical insights and guides the direction of deep graph matching methods.
description: The paper is under consideration at Pattern Recognition
title: Ubykh2, liste42
Creators: name: Michailovsky, Boyd
name: Dumézil, Georges
Publisher: name: COCOON - https://cocoon.huma-num.fr (Huma-Num - CNRS)
publisherIdentifier: https://ror.org/04ces3204
publisherIdentifierScheme: ROR
Year: 2011
Subjects: subject: Ubykh
subject: uby

description: Conforms to: doi:10.34847/cocoon.49aefa90-8c1f-3ba8-a099-0ebefc6a2aa7
Calculation of ultrashort pulse propagation based on rational approximations for medium dispersion
Creators: name: Amiranashvili, Shalva
name: Bandelow, Uwe
name: Mielke, Alexander
Publisher: name: Weierstrass Institute
Year: 2011
Subjects: subject: Ultrashort pulses
subject: Rational approximation
subject: Padé approximant
subject: Envelope equation
subject: 42.65.-k
subject: 42.65.Tg
subject: 42.81.Dp
subject: 02.30.Mv

description: Ultrashort optical pulses contain only a few optical cycles and exhibit broad spectra. Their carrier frequency is therefore not well defined and their description in terms of the standard slowly varying envelope approximation becomes questionable. Existing modeling approaches can be divided in two classes, namely generalized envelope equations, that stem from the nonlinear Schrödinger equation, and non-envelope equations which treat the field directly. Based on fundamental physical rules we will present an approach that effectively interpolates between these classes and provides a suitable setting for accurate and highly efficient numerical treatment of pulse propagation along nonlinear and dispersive optical media.
Convergence properties of the effective interaction
Creators: name: Ellis
name: Engeland
name: Hjorth-Jensen
name: Holt
name: Osnes
Publisher: name: arXiv
Year: 1993
Subjects: subject: Nuclear Theory (nucl-th)
subject: FOS: Physical sciences

description: The convergence properties of two perturbative schemes to sum the so-called folded diagrams are critically reviewed, with an emphasis on the intruder state problem. The methods we study are the approaches of Kuo and co-workers and Lee and Suzuki. The suitability of the two schemes for shell-model calculations are discussed.
description: 10 pages in revtex ver. 3.0. 3 figs can be obtained upon request. Univerisity of Oslo report UiO/PHYS/93-23
Dual-wavelength Photo-Hall effect spectroscopy of deep levels in high resistive CdZnTe with negative differential photoconductivity
Creators: name: Musiienko, A.
name: Grill, R.
name: Moravec, P.
name: Korcsmaros, G.
name: Rejhon, M.
name: Pekarek, J.
name: Elhadidy, H.
name: Sedivy, L.
name: Vasylchenko, I.
Publisher: name: arXiv
Year: 2017
Subjects: subject: Materials Science (cond-mat.mtrl-sci)
subject: FOS: Physical sciences

description: Photo-Hall effect spectroscopy was used in the study of deep levels in high resistive CdZnTe. The monochromator excitation in the photon energy range 0.65-1.77 eV was complemented by a laser diode high-intensity excitation at selected photon energies. A single sample characterized by multiple unusual features like negative differential photoconductivity and anomalous depression of electron mobility was chosen for the detailed study involving measurements at both the steady and dynamic regimes. We revealed that the Hall mobility and photoconductivity can be both enhanced and suppressed by an additional illumination at certain photon energies. The anomalous mobility decrease was explained by an excitation of the inhomogeneously distributed deep level at the energy Ev+1.0 eV enhancing thus potential non-uniformities. The appearance of negative differential photoconductivity was interpreted by an intensified electron occupancy of that level by a direct valence band-to-level excitation. Modified Shockley-Read-Hall theory was used for fitting experimental results by a model comprising five deep levels. Properties of the deep levels and their impact on the device performance were deduced.
description: The paper is accepted in the Journal of Applied Physics, Special Topic on Defects in Semiconductors
title: ADCO, Huitième cartulaire de Saint-Étienne de Dijon (1661-1667), Cart. 31 (G 135), 549 folios, f. 0851
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: cartulaire
subject: LaMOP
subject: Laboratoire de Médiévistique Occidentale de Paris
subject: Corpus Burgundiae Medii Aevi
subject: Chartes de la Bourgogne du Moyen Âge

description: Huitième cartulaire de Saint-Étienne de Dijon (1661-1667), Archives départementales de la Côte-d'Or, Cart. 31 (G 135), 549 folios, f. 0851, Numérisation en mode image.
description: Relation: http://www.cbma-project.eu/
description: Bibliographic citation: Huitième cartulaire de Saint-Étienne de Dijon (1661-1667), Archives départementales de la Côte-d'Or, Cart. 31 (G 135), 549 folios, f. 0851, in Projet CBMA - Corpus Burgundiae Medii Aevi [Ressource en ligne], https://manuscrits.cbma-project.eu/
description: Provenance: abbaye Saint-Étienne de Dijon
description: Provenance: http://www.wikidata.org/entity/Q15945019
Dynamic electron-phonon and spin-phonon interactions due to inertia
Creators: name: Geilhufe, R. M.
Publisher: name: arXiv
Year: 2021
Subjects: subject: Materials Science (cond-mat.mtrl-sci)
subject: Other Condensed Matter (cond-mat.other)
subject: FOS: Physical sciences

description: THz radiation allows for the controlled excitation of vibrational modes in molecules and crystals. We show that the circular motion of ions introduces inertial effects on electrons. In analogy to the classical Coriolis and centrifugal forces, these effects are the spin-rotation coupling, the centrifugal field coupling, the centrifugal spin-orbit coupling, and the centrifugal redshift. Depending on the phonon decay, these effects persist for various picoseconds after excitation. Potential boosting of the effects would make it a promising platform for vibration-based control of localized quantum states or chemical reaction barriers.
description: 5 pages, 2 figures
Synthesis, structure, and antimicrobial properties of mixed-metal organometallic polyoxometalates [Cp*2M5VO17]− (M = Mo, W)
Creators: name: Özbek, Hülya Avcı
name: Kopar, Emre Erden
name: Demirhan, Funda
Publisher: name: Taylor & Francis
Year: 2021
Subjects: subject: Biophysics
subject: Biochemistry
subject: 29999 Physical Sciences not elsewhere classified
subject: FOS: Physical sciences
subject: Medicine
subject: Biotechnology
subject: 39999 Chemical Sciences not elsewhere classified
subject: FOS: Chemical sciences
subject: 69999 Biological Sciences not elsewhere classified
subject: FOS: Biological sciences
subject: Plant Biology

description: A series of Lindqvist-type polyoxometalate (POM) compounds [Cat][Cp*2M5VO17] (M = Mo (1), W (2)) were obtained from Cp*2M2O5 and NaVO3 in a 1:10 molar ratio in an acidic aqueous-methanol medium ([Cat]: Bu4P+ (1a, 2a), Bu4N+ (1b, 2b), Ph4P+ (1c, 2c), and BuNC5H5+ (1d, 2d)). They have been structurally characterized by 1H and 31P NMR, FT-IR, TGA, ESI, and elemental analysis techniques which support the proposed structures. In antibacterial studies, Ph4P[Cp*2Mo5VO17] (1c) is the compound that shows the highest antimicrobial activity against both gram-positive and gram-negativebacteria.
Quantum Reinforcement Learning: the Maze problem
Creators: name: Pozza, Nicola Dalla
name: Buffoni, Lorenzo
name: Martina, Stefano
name: Caruso, Filippo
Publisher: name: arXiv
Year: 2021
Subjects: subject: Quantum Physics (quant-ph)
subject: Disordered Systems and Neural Networks (cond-mat.dis-nn)
subject: FOS: Physical sciences

description: Quantum Machine Learning (QML) is a young but rapidly growing field where quantum information meets machine learning. Here, we will introduce a new QML model generalizing the classical concept of Reinforcement Learning to the quantum domain, i.e. Quantum Reinforcement Learning (QRL). In particular we apply this idea to the maze problem, where an agent has to learn the optimal set of actions in order to escape from a maze with the highest success probability. To perform the strategy optimization, we consider an hybrid protocol where QRL is combined with classical deep neural networks. In particular, we find that the agent learns the optimal strategy in both the classical and quantum regimes, and we also investigate its behaviour in a noisy environment. It turns out that the quantum speedup does robustly allow the agent to exploit useful actions also at very short time scales, with key roles played by the quantum coherence and the external noise. This new framework has the high potential to be applied to perform different tasks (e.g. high transmission/processing rates and quantum error correction) in the new-generation Noisy Intermediate-Scale Quantum (NISQ) devices whose topology engineering is starting to become a new and crucial control knob for practical applications in real-world problems. This work is dedicated to the memory of Peter Wittek.
description: 10 pages, 10 figures
C*-algebraic Schur product theorem, Pólya-Szegő-Rudin question and Novak's conjecture
Creators: name: Krishna, K. Mahesh
Publisher: name: arXiv
Year: 2021
Subjects: subject: Operator Algebras (math.OA)
subject: FOS: Mathematics
subject: 15B48, 46L05, 46L08

description: Striking result of Vyb\'ıral [\textit{Adv. Math.} 2020] says that Schur product of positive matrices is bounded below by the size of the matrix and the row sums of Schur product. Vyb\'ıral used this result to prove the Novak's conjecture. In this paper, we define Schur product of matrices over arbitrary C*-algebras and derive the results of Schur and Vyb\'ıral. As an application, we state C*-algebraic version of Novak's conjecture and solve it for commutative unital C*-algebras. We formulate Pólya-Szegő-Rudin question for the C*-algebraic Schur product of positive matrices.
description: 13 Pages, 0 Figures, P\'{o}lya-Szeg\H{o}-Rudin question and Novak's conjecture are formulated and partially solved
Multilevel dual approach for pricing American style derivatives
Creators: name: Belomestny, Denis
name: Schoenmakers, John G. M.
Publisher: name: Weierstrass Institute
Year: 2011
Subjects: subject: Optimal stopping
subject: Dual approach
subject: Multilevel Monte Carlo
subject: 62L15
subject: 65C05
subject: 91B28

description: In this article we propose a novel approach to reduce the computational complexity of the dual method for pricing American options. We consider a sequence of martingales that converges to a given target martingale and decompose the original dual representation into a sum of representations that correspond to different levels of approximation to the target martingale. By next replacing in each representation true conditional expectations with their Monte Carlo estimates, we arrive at what one may call a multilevel dual Monte Carlo algorithm. The analysis of this algorithm reveals that the computational complexity of getting the corresponding target upper bound, due to the target martingale, can be significantly reduced. In particular, it turns out that using our new approach, we may construct a multilevel version of the well-known nested Monte Carlo algorithm of Andersen and Broadie (2004) that is, regarding complexity, virtually equivalent to a non-nested algorithm. The performance of this multilevel algorithm is illustrated by a numerical example.
Efficient maximum likelihood estimation for Lévy-driven Ornstein--Uhlenbeck processes
Creators: name: Mai, Hilmar
Publisher: name: Weierstrass Institute
Year: 2012
Subjects: subject: discrete time observations
subject: efficient drift estimation
subject: Lévy process
subject: maximum likelihood
subject: Ornstein-Uhlenbeck process
subject: 62F12
subject: 62M05

description: We consider the problem of efficient estimation of the drift parameter of an Ornstein-Uhlenbeck type process driven by a Lévy process when high-frequency observations are given. The estimator is constructed from the time-continuous likelihood function that leads to an explicit maximum likelihood estimator and requires knowledge of the continuous martingale part. We use a thresholding technique to approximate the continuous part of the process. Under suitable conditions we prove asymptotic normality and efficiency in the Hájek-Le Cam sense for the resulting drift estimator. To obtain these results we prove an estimate for the Markov generator of a pure jump Lévy process. Finally, we investigate the finite sample behavior of the method and compare our approach to least squares estimation.
title: Ubykh2, liste43
Creators: name: Michailovsky, Boyd
name: Dumézil, Georges
Publisher: name: COCOON - https://cocoon.huma-num.fr (Huma-Num - CNRS)
publisherIdentifier: https://ror.org/04ces3204
publisherIdentifierScheme: ROR
Year: 2011
Subjects: subject: Ubykh
subject: uby

description: Conforms to: doi:10.34847/cocoon.49aefa90-8c1f-3ba8-a099-0ebefc6a2aa7
ROSAT Results on Narrow-Line Seyfert 1 Galaxies
Creators: name: Boller, Th.
Publisher: name: arXiv
Year: 2000
Subjects: subject: Astrophysics (astro-ph)
subject: FOS: Physical sciences

description: The excellent soft X-ray sensitivity of the PSPC detector onboard the ROSAT satellite provided the first chance to study precisely the spectral and timing properties of Narrow-Line Seyfert 1 galaxies. ROSAT observations of Narrow-Line Seyfert 1 galaxies have revealed (1) the existence of a giant soft X-ray excess, (2) a striking, clear correlation between the strength of the soft X-ray excess emission and the FWHM of the H-beta line, (3) the general absence of significant soft X-ray absorption by neutral hydrogen above the Galactic column, (4) short doubling time scales down to about 1000 seconds, (5) the existence of persistent giant (above a factor of 10), and rapid (less than 1 day) X-ray variability in extragalactic sources. The soft X-ray results on Narrow-Line Seyfert 1 galaxies indicate that their black hole regions are directly visible, further supporting the Seyfert 1 nature of these objects. The extreme X-ray properties of Narrow-Line Seyfert 1 galaxies make them ideal objects for understanding many of the problems raised generally by the Seyfert phenomenon.
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
Explicit solution of an optimal design problem with non-affine displacement boundary conditions
Creators: name: Grabovsky, Yury
Publisher: name: Carnegie Mellon University
Year: 1994
Subjects: subject: 19999 Mathematical Sciences not elsewhere classified
subject: FOS: Mathematics

description: Abstract: "Structural optimization problems with non-affine boundary conditions must usually be solved numerically. Here we present an example of such a problem which can be solved analytically. Our method utilizes extremal composites as structural components, and makes use of the explicit form of a certain optimal energy bound."
Quality of water in the Edwards aquifer, central Travis County, Texas
Creators: name: St. Clair, Ann Elizabeth
Publisher: name: The University of Texas at Austin
Year: 1979
Subjects: subject: Water quality--Texas--Travis County

description: The Rollingwood area in central Travis County, Texas, is the principal zone of recharge to the Edwards limestone aquifer. As a result of extensive suburban development in the past 25 years, the number of septic-tank systems in the area has greatly increased. However, thin soils and fractured bedrock may limit the effectiveness of waste renovation in these systems. In order to determine if effluent from septic tanks has affected the quality of ground water in the Edwards aquifer, samples from wells in the area were analyzed for several constituents that may indicate contamination by septic tanks - nitrate, ammonium, chloride, phosphate, organic carbon, and total coliform bacteria. Concentrations of these parameters are similar to background concentrations in water from the Edwards, indicating that suburban development has not resulted in detectable degradation of the quality of water in the aquifer. During the study, water quality did not vary significantly areally, temporally, or as a result of heavy rainfall. The lack of degradation of water quality probably is due to (1) the thickness of the unsaturated zone (greater than 110 feet) through which effluent must travel to reach the water table, (2) adsorption of pollutants on insoluble residue in solution zones and on walls of fractures in the unsaturated zone, and (3) dilution and dispersion of contaminants in the saturated zone of the aquifer. Chemical analyses of water from Barton Creek, Barton Springs, the Edwards aquifer, and the Colorado River indicate that discharge from the aquifer at Barton Springs may be a mixture of recharge from both Barton Creek and the Colorado River. Chemically, water from wells in the Edwards is similar to water in Barton Creek, indicating that the creek is a principal source of recharge to the aquifer. Variations in the composition of water from Barton Springs correlate with the rate of discharge at the springs. When spring discharge is high, the composition of water in the springs resembles that of water from Barton Creek and wells in the Edwards. At times of low discharge at the springs - when rainfall, streamflow, and therefore, recharge from Barton Creek are low--chemistry of water at Barton Springs resembles that of Colorado River water.
Investigation of intermolecular interactions between [Ho(H2O)8]4+ based 3D metal-organic supramolecular host and bipyridyl guest through crystal structure and Hirshfeld surface analysis
Creators: name: Patra, Maxcimilan
name: Dubey, Soumen Kumar
name: Singha, Soumen
name: Rizzoli, Corrado
name: Bhattacharjee, Subham
name: Saha, Rajat
Publisher: name: Taylor & Francis
Year: 2021
Subjects: subject: Biophysics
subject: Biochemistry
subject: 29999 Physical Sciences not elsewhere classified
subject: FOS: Physical sciences
subject: Medicine
subject: Molecular Biology
subject: Physiology
subject: FOS: Biological sciences
subject: Biotechnology
subject: 39999 Chemical Sciences not elsewhere classified
subject: FOS: Chemical sciences
subject: Cancer

description: A new supramolecular metal-organic complex 1, [{Ho(H2O)8}4+(TBTA)(bipy)] (where H2TBTA = tetrabromoterephthalic acid and bipy = 4,4'-bipyridyl), has been synthesized hydrothermally at 100 °C by mixing the reactants in stoichiometric ratio. The complex was characterized by single crystal X-ray diffraction (SC-XRD) along with powder X-ray diffraction (PXRD) and other spectroscopic analyses. Structural analysis reveals that 1 crystallized in the tetragonal space group I4cm and is a mononuclear complex. Ho4+ presents octa-coordinated square antiprism geometry having eight coordinated water molecules. Hydrogen bonding interactions between the coordinated water molecules and carboxylate oxygen atoms of TBTA (doubly deprotonated form of H2TBTA) anions form 3D supramolecular metal-organic host (MOSH) having 2D square grid-like supramolecular channels. Guest bipy molecules get stability within the channels through supramolecular π···π interactions between the bipy and TBTA anions. Hirshfeld surface analysis and corresponding 2D fingerprint plots correlate with the experimental findings. C···C short contact, corresponding to π···π interactions, contributes around 10.7% to the total surface.
Quantum gap and spin-wave excitations in the Kitaev model on a triangular lattice
Creators: name: Avella, Adolfo
name: Di Ciolo, Andrea
name: Jackeli, George
Publisher: name: arXiv
Year: 2017
Subjects: subject: Strongly Correlated Electrons (cond-mat.str-el)
subject: FOS: Physical sciences

description: We study the effects of quantum fluctuations on the dynamical generation of a gap and on the evolution of the spin-wave spectra of a frustrated magnet on a triangular lattice with bond-dependent Ising couplings, analog of the Kitaev honeycomb model. The quantum fluctuations lift the subextensive degeneracy of the classical ground-state manifold by a quantum order-by-disorder mechanism. Nearest-neighbor chains remain decoupled and the surviving discrete degeneracy of the ground state is protected by a hidden model symmetry. We show how the four-spin interaction, emergent from the fluctuations, generates a spin gap shifting the nodal lines of the linear spin-wave spectrum to finite energies.
description: 9 pages, 3 figures, 4 panels
Continuous Welch bounds with Applications
Creators: name: Krishna, K. Mahesh
Publisher: name: arXiv
Year: 2021
Subjects: subject: Functional Analysis (math.FA)
subject: FOS: Mathematics
subject: 42C15

description: Let $(Ω, μ)$ be a measure space and $\{τ_α\}_{α\in Ω}$ be a normalized continuous Bessel family for a finite dimensional Hilbert space $\mathcal{H}$ of dimension $d$. If the diagonal $Δ\coloneqq \{(α, α):α\in Ω\}$ is measurable in the measure space $Ω\times Ω$, then we show that
 \begin{align*}
 \sup _{α, β\in Ω, α\neq β}|\langle τ_α, τ_β\rangle |^{2m}\geq \frac{1}{(μ\timesμ)((Ω\timesΩ)\setminusΔ)}\left[\frac{ μ(Ω)^2}{d+m-1 \choose m}-(μ\timesμ)(Δ)\right], \quad \forall m \in \mathbb{N}. \end{align*} This improves 47 years old celebrated result of Welch [\textit{IEEE Transactions on Information Theory, 1974}]. We introduce the notions of continuous cross correlation and frame potential of Bessel family and give applications of continuous Welch bounds to these concepts. We also introduce the notion of continuous Grassmannian frames.
description: 15, Pages, 0 Figures. Improves Welch bounds
title: Ubykh2, liste44
Creators: name: Michailovsky, Boyd
name: Dumézil, Georges
Publisher: name: COCOON - https://cocoon.huma-num.fr (Huma-Num - CNRS)
publisherIdentifier: https://ror.org/04ces3204
publisherIdentifierScheme: ROR
Year: 2011
Subjects: subject: Ubykh
subject: uby

description: Conforms to: doi:10.34847/cocoon.49aefa90-8c1f-3ba8-a099-0ebefc6a2aa7
Uniform global bounds for solutions of an implicit Voronoi finite volume method for reaction-diffusion problems
Creators: name: Fiebach, André
name: Glitzky, Annegret
name: Linke, Alexander
Publisher: name: Weierstrass Institute
Year: 2012
Subjects: subject: reaction-diffusion systems
subject: heterostructures
subject: finite volume method
subject: global bounds
subject: discrete Gagliardo-Nirenberg inequalities
subject: discrete Moser iteration
subject: 35K57
subject: 65M08
subject: 65M22
subject: 80A30

description: We consider discretizations for reaction-diffusion systems with nonlinear diffusion in two space dimensions. The applied model allows to handle heterogeneous materials and uses the chemical potentials of the involved species as primary variables. We propose an implicit Voronoi finite volume discretization on regular Delaunay meshes that allows to prove uniform, mesh-independent global upper and lower $L^infty$ bounds for the chemical potentials. These bounds provide the main step for a convergence analysis for the full discretized nonlinear evolution problem. The fundamental ideas are energy estimates, a discrete Moser iteration and the use of discrete Gagliardo-Nirenberg inequalities. For the proof of the Gagliardo-Nirenberg inequalities we exploit that the discrete Voronoi finite volume gradient norm in $2d$ coincides with the gradient norm of continuous piecewise linear finite elements.