cometadata/datacite-rtg-text-other-reclassification-records huggingface dataset:
Drassyllus pusillus
Creators: name: Paschetta, Mauro
name: Christille, Claretta
name: Marguerettaz, Fabio
name: Isaia, Marco
Publisher: name: Zenodo
Year: 2016
Subjects: Biodiversity
Taxonomy
Animalia
Arthropoda
Arachnida
Araneae
Gnaphosidae
Drassyllus
Drassyllus pusillus

description: Drassyllus pusillus (C. L. Koch, 1833)
NEW DATA. — Torgnon: Lo Ditor, 1950 m, peat bog, 26.VI-12. VII.2013, 1 ♂, leg. Negro; same locality, 26.VII-14.VIII.2013, 3♀, leg. Negro; Brissogne, Saint-Marcel, Quart, Nus: Natural Reserve of Les Îles, 530 m, dry meadow, 14.VI-5.VII.2011, 3♀, leg. Paschetta & Giulian; same locality, 5-29.VII.2011, 1♀, leg. Paschetta & Giuliano; Ayas: Antagnod, 1970-2070 m, ski pistes, 2007, leg. Franco & Negro.
 LITERATURE. — Isaia 2005; De Angelis & Fantoni 2008; Negro et al. 2009; [Rossi & Bosio 2012].
CHOROTYPE. — PAL.
MACROHABITAT. — Wetlands, shrublands, ski pistes, alpine pastures.
description: Published as part of Paschetta, Mauro, Christille, Claretta, Marguerettaz, Fabio & Isaia, Marco, 2016, Regional catalogue of the spiders (Arachnida, Araneae) of Aosta Valley (NW Italy), pp. 49-125 in Zoosystema 38 (1) on page 66, DOI: 10.5252/z2016n1a3, http://zenodo.org/record/4578074
Realizations of Rigid Graphs
Creators: name: Koutschan, Christoph
Publisher: name: arXiv
Year: 2022
Subjects: subject: Computational Geometry (cs.CG)
subject: FOS: Computer and information sciences

description: A minimally rigid graph, also called Laman graph, models a planar framework which is rigid for a general choice of distances between its vertices. In other words, there are finitely many ways, up to isometries, to realize such a graph in the plane. Using ideas from algebraic and tropical geometry, we derive a recursive formula for the number of such realizations. Combining computational results with the construction of new rigid graphs via gluing techniques, we can give a new lower bound on the maximal possible number of realizations for graphs with a given number of vertices.
description: In Proceedings ADG 2021, arXiv:2112.14770
On Automating Triangle Constructions in Absolute and Hyperbolic Geometry
Creators: name: Marinković, Vesna
name: Šukilović, Tijana
name: Marić, Filip
Publisher: name: arXiv
Year: 2022
Subjects: subject: Computational Geometry (cs.CG)
subject: Mathematical Software (cs.MS)
subject: FOS: Computer and information sciences
subject: I.2.3

description: We describe first steps towards a system for automated triangle constructions in absolute and hyperbolic geometry. We discuss key differences between constructions in Euclidean, absolute and hyperbolic geometry, compile a list of primitive constructions and lemmas used for constructions in absolute and hyperbolic geometry, build an automated system for solving construction problems and test it on a corpus of triangle-construction problems. We also provide an online compendium containing construction descriptions and illustrations.
description: In Proceedings ADG 2021, arXiv:2112.14770
A Generalized Epidemic Process and Tricritical Dynamic Percolation
Creators: name: Janssen, Hans-Karl
name: Mueller, Martin
name: Stenull, Olaf
Publisher: name: arXiv
Year: 2004
Subjects: subject: Statistical Mechanics (cond-mat.stat-mech)
subject: Populations and Evolution (q-bio.PE)
subject: FOS: Physical sciences
subject: FOS: Biological sciences

description: The renowned general epidemic process describes the stochastic evolution of a population of individuals which are either susceptible, infected or dead. A second order phase transition belonging to the universality class of dynamic isotropic percolation lies between endemic or pandemic behavior of the process. We generalize the general epidemic process by introducing a fourth kind of individuals, viz. individuals which are weakened by the process but not yet infected. This sensibilization gives rise to a mechanism that introduces a global instability in the spreading of the process and therefore opens the possibility of a discontinuous transition in addition to the usual continuous percolation transition. The tricritical point separating the lines of first and second order transitions constitutes a new universality class, namely the universality class of tricritical dynamic isotropic percolation. Using renormalized field theory we work out a detailed scaling description of this universality class. We calculate the scaling exponents in an $ε$-expansion below the upper critical dimension $d_{c}=5$ for various observables describing tricritical percolation clusters and their spreading properties. In a remarkable contrast to the usual percolation transition, the exponents $β$ and $β^{\prime}$ governing the two order parameters, viz. the mean density and the percolation probability, turn out to be different at the tricritical point. In addition to the scaling exponents we calculate for all our static and dynamic observables logarithmic corrections to the mean-field scaling behavior at $d_c=5$.
description: 21 pages, 10 figures, version to appear in Phys. Rev. E
Torf im Gartenbau
Creators: name: Günther, Jürgen
Publisher: name: FID GEO
Year: 1972

description: Der Gartenbau verwendet heute zur Bodenverbesserung und als Kultursubstrat in der Hauptsache schwach zersetzten Hochmoortorf (Weißtorf). In den letzten Jahren hat jedoch die Verwendung von stärker zersetztem Hochmoortorf (Schwarztorf) in Form von Humintorf (ein mit hohem Wassergehalt durchfrorener Schwarztorf) zugenommen. Die Abnahme der Weißtorfvorräte in Deutschland - sie werden den Bedarf der kommenden 50 Jahre noch decken können - und der Rückgang der Schwarztorfverwendung als Brennmaterial in Haushalt und Industrie sowie zur Energiegewinnung im Kraftwerk zwingen die Torfindustrie zur Entwicklung neuer Produkte aus stärker zersetztem Torf. Da die Mächtigkeit der Lagerstätten an stärker zersetztem Material die des Weißtorfes weit übertrifft, wird mit einem Rohstoffvorrat für mehr als 100 Jahre gerechnet.
description: DFG, SUB Göttingen
description: research
Maximizing the Sum of the Distances between Four Points on the Unit Hemisphere
Creators: name: Zeng, Zhenbing
name: Lu, Jian
name: Xu, Yaochen
name: Wang, Yuzheng
Publisher: name: arXiv
Year: 2022
Subjects: subject: Symbolic Computation (cs.SC)
subject: Computational Geometry (cs.CG)
subject: Discrete Mathematics (cs.DM)
subject: FOS: Computer and information sciences
subject: F.2.1; F.2.2; G.1.2

description: In this paper, we prove a geometrical inequality which states that for any four points on a hemisphere with the unit radius, the largest sum of distances between the points is 4+4*sqrt(2). In our method, we have constructed a rectangular neighborhood of the local maximum point in the feasible set, which size is explicitly determined, and proved that (1): the objective function is bounded by a quadratic polynomial which takes the local maximum point as the unique critical point in the neighborhood, and (2): the rest part of the feasible set can be partitioned into a finite union of a large number of very small cubes so that on each small cube the conjecture can be verified by estimating the objective function with exact numerical computation.
description: In Proceedings ADG 2021, arXiv:2112.14770
Move Together – Bewegung und Sport für Kinder und Jugendliche mit motorischen Beeinträchtigungen Entwicklung eines Lehrmittels mit Übungen für den inklusiven Bewegungsunterricht zu ausgewählten Bereichen des Lehrplans 21
Creators: name: Hofmann, Livia
name: Mötteli, Céline
Publisher: name: Zenodo
Year: 2020
Subjects: Sonderpädagogik
Psychomotorik
Bewegung
Störung
Übungssammlung
Masterarbeit

description: Alle Kinder haben das Recht, an einem den individuellen Voraussetzungen entsprechenden Sportunterricht
 teilzunehmen. Mit diesem inklusiven Ansatz entstand im Rahmen dieser Arbeit das Lehrmittel
 «Move together»: Die Übungen sind so definiert, dass Kinder mit unterschiedlich starken motorischen
 Beeinträchtigungen im Fachbereich Bewegung und Sport des Lehrplans 21 gefördert werden können.
 Dazu werden Karten mit Übungen zu fünf Levels an Schweregrad der motorischen Beeinträchtigung
 angeboten (Motor Function Classification System GMFCS). Das entwickelte Lehrmittel wurde von neun
 Proband*innen aus dem integrativen und separativen Setting mittels eines Fragebogens validiert und
 teilweise im Unterricht getestet. Als Ergebnis zeigt sich, dass die Übungen verständlich sind und dass
 anregende Inhalte angeboten werden. Das Lehrmittel erfüllt damit den Zweck eines inklusiven Sportunterrichts.
A New Modeling of Classical Folds in Computational Origami
Creators: name: Ida, Tetsuo
name: Takahashi, Hidekazu
Publisher: name: arXiv
Year: 2022
Subjects: subject: Computational Geometry (cs.CG)
subject: Data Structures and Algorithms (cs.DS)
subject: Graphics (cs.GR)
subject: Logic in Computer Science (cs.LO)
subject: FOS: Computer and information sciences

description: This paper shows a cut along a crease on an origami sheet makes simple modeling of popular traditional basic folds such as a squash fold in computational origami. The cut operation can be applied to other classical folds and significantly simplify their modeling and subsequent implementation in the context of computational origami.
description: In Proceedings ADG 2021, arXiv:2112.14770
Aphantaulax trifasciata
Creators: name: Paschetta, Mauro
name: Christille, Claretta
name: Marguerettaz, Fabio
name: Isaia, Marco
Publisher: name: Zenodo
Year: 2016
Subjects: Biodiversity
Taxonomy
Animalia
Arthropoda
Arachnida
Araneae
Gnaphosidae
Aphantaulax
Aphantaulax trifasciata

description: Aphantaulax trifasciata (O. P.-Cambridge, 1872)
 LITERATURE. — Negro et al. 2009; [Rossi & Bosio 2012].
CHOROTYPE. — PAL.
MACROHABITAT. — Coniferous forests.
description: Published as part of Paschetta, Mauro, Christille, Claretta, Marguerettaz, Fabio & Isaia, Marco, 2016, Regional catalogue of the spiders (Arachnida, Araneae) of Aosta Valley (NW Italy), pp. 49-125 in Zoosystema 38 (1) on page 64, DOI: 10.5252/z2016n1a3, http://zenodo.org/record/4578074
Definition and classification of singularities in GR: classical and quantum
Creators: name: Konkowski, D. A.
name: Helliwell, T. M.
Publisher: name: arXiv
Year: 2004
Subjects: subject: General Relativity and Quantum Cosmology (gr-qc)
subject: FOS: Physical sciences

description: We will briefly review the definition and classification of classical and quantum singularities in general relativity. Examples of classically singular spacetimes that do not have quantum singularities will be given. We will present results on quantum singularities in quasiregular spacetimes. We will also show that a strong repulsive "potential" near the classical singularity can turn a classically singular spacetime into a quantum mechanically nonsingular spacetime.
description: 3 pages, no figures, submitted to Proceedings of the Tenth Marcel Grossmann Meeting on General Relativity, Rio de Janeiro, July 20-26, 2003
Das Moosfenn bei Potsdam – Langzeitstudie zu Vegetation und Nährstoffhaushalt eines brandenburgischen Kesselmoores
The Moosfenn near Potsdam – a long-term study of vegetation and nutrient household of a brandenburgian kettle hole mire.
Creators: name: Landgraf, Lukas
name: Notni, Peter
Publisher: name: FID GEO
Year: 2004

description: Abstract: Isolated kettle hole mires within forests are among the last natural peatlands in Brandenburg. Consi- dering the high air-born input of Nitrogen and a high deficit water, we are uncertain if we will succeed to conserve these last natural Brandenburgian mires. Long-term monitoring on kettle hole mires may help to answer this question. The Moosfenn near Potsdam is among the botanically best explored ones in Brandenburg. Vegetation conditions can be reconstructed since a deforestation near the bog in 1918/19. Changes in vegetation initially reflected emerging mesotrophic conditions. A tendency to eutrophy was observed in the 1950ths to 70ths, but has not been manifested. In the 1990ths, vegetation changes indicated again oligotrophic conditions due to increased dryness. Chemical data on the bog water, taken from the literature and supplemented by own measurements, seem to support these trends. Today, the Moosfenn is endangered by a water deficit. Raising the water table might guarantee a long-term survival as a natural kettle mire. Actions to achieve this are proposed.
description: Zusammenfassung: Isoliert im Wald liegende Kesselmoore gehören zu den letzten noch naturnahen Mooren in Brandenburg. Angesichts hoher Stickstoff-Immissionen aus der Luft und eines defizitären Landschaftswasserhaushaltes wissen wir nicht, ob es gelingen wird, diese letzten naturnahen Moorlandschaften Brandenburgs zu erhalten. Langfristige Beobachtungen an Kesselmooren können helfen, diese Frage zu beantworten. Das Moosfenn bei Potsdam ist botanisch eines der bestuntersuchten Kesselmoore Brandenburgs. Seit einem Kahlschlag am Rande des Moores im Winter 1918/19 können die Vegetationsveränderungen rekonstruiert werden. Sie spiegelten zunächst ein Mesotrophierung des Moores wider. In den 1950er bis 1970er Jahren wurden Tendenzen zur Eutrophierung festgestellt, die sich aber in der Folgezeit nicht manifestierten. In den 1990er Jahren erfolgte während einer Austrocknungsphase wieder eine Umkehr zu den oligotrophen Verhältnissen Anfang des 20. Jahrhunderts. Die Ergebnisse der bis 1928 zurückreichenden Moorwasseranalysen verschiedener Autoren und neuerer eigener Messungen scheinen dies zu bestätigen. Eine Gefahr für den Erhalt des Gebietes geht heute allein von einem Wasserdefizit aus. Gelingt es den Moorwasserstand des Moosfenns anzuheben, könnte das Moosfenn noch auf lange Sicht als naturnahes Kesselmoor erhalten bleiben. Dafür werden Maßnahmen vorgeschlagen.
description: DFG, SUB Göttingen, DGMT
description: research
Echemus angustifrons
Creators: name: Paschetta, Mauro
name: Christille, Claretta
name: Marguerettaz, Fabio
name: Isaia, Marco
Publisher: name: Zenodo
Year: 2016
Subjects: Biodiversity
Taxonomy
Animalia
Arthropoda
Arachnida
Araneae
Gnaphosidae
Echemus
Echemus angustifrons

description: Echemus angustifrons (Westring, 1861)
NEW DATA. — Challand-Saint-Victor: Natural Reserve of Lago di Villa, 820 m, wet meadow, 13.VI-4.VII.2011, 1 ♂, leg. Paschetta & Giuliano (MRSN-VDA).
LITERATURE. — De Angelis & Fantoni 2008; [Rossi & Bosio 2012].
CHOROTYPE. — ASE.
MACROHABITAT. — Wetlands.
description: Published as part of Paschetta, Mauro, Christille, Claretta, Marguerettaz, Fabio & Isaia, Marco, 2016, Regional catalogue of the spiders (Arachnida, Araneae) of Aosta Valley (NW Italy), pp. 49-125 in Zoosystema 38 (1) on page 66, DOI: 10.5252/z2016n1a3, http://zenodo.org/record/4578074
Comments on the Sign and Other Aspects of Semiclassical Casimir Energies
Creators: name: Schaden, Martin
Publisher: name: arXiv
Year: 2005
Subjects: subject: High Energy Physics - Theory (hep-th)
subject: FOS: Physical sciences

description: The Casimir energy of a massless scalar field is semiclassically given by contributions due to classical periodic rays. The required subtractions in the spectral density are determined explicitly. The so defined semiclassical Casimir energy coincides with that obtained using zeta function regularization in the cases studied. Poles in the analytic continuation of zeta function regularization are related to non-universal subtractions in the spectral density. The sign of the Casimir energy of a scalar field on a smooth manifold is estimated by the sign of the contribution due to the shortest periodic rays only. Demanding continuity of the Casimir energy under small deformations of the manifold, the method is extended to integrable systems. The Casimir energy of a massless scalar field on a manifold with boundaries includes contributions due to periodic rays that lie entirely within the boundaries. These contributions in general depend on the boundary conditions. Although the Casimir energy due to a massless scalar field may be sensitive to the physical dimensions of manifolds with boundary, its sign can in favorable cases be inferred without explicit calculation of the Casimir energy.
description: 39 pages, no figures, references added, some corrections
The Area Method in the Wolfram Language
Creators: name: Heimrath, Jack
Publisher: name: arXiv
Year: 2022
Subjects: subject: Logic in Computer Science (cs.LO)
subject: FOS: Computer and information sciences

description: The area method is a decision procedure for geometry developed by Chou et al. in the 1990's. The method aims to reduce the specified hypothesis to an algebraically verifiable form by applying elimination lemmas. The order in which the lemmas are applied is determined by the stated conjecture and the underlying geometric construction. In this paper we present our implementation of the area method for Euclidean geometry as a stand-alone Mathematica package.
description: In Proceedings ADG 2021, arXiv:2112.14770
Derivatives of Eisenstein series and arithmetic geometry
Creators: name: Kudla, Stephen S.
Publisher: name: arXiv
Year: 2003
Subjects: subject: Number Theory (math.NT)
subject: FOS: Mathematics
subject: 14G40, 14G35, 11F30

description: We describe connections between the Fourier coefficients of derivatives of Eisenstein series and invariants from the arithmetic geometry of the Shimura varieties $M$ associated to rational quadratic forms $(V,Q)$ of signature $(n,2)$. In the case $n=1$, we define generating series $\hatϕ_1(τ)$ for 1-cycles (resp. $\hatϕ_2(τ)$ for 0-cycles) on the arithmetic surface $\Cal M$ associated to a Shimura curve over $\Bbb Q$. These series are related to the second term in the Laurent expansion of an Eisenstein series of weight $\frac32$ and genus 1 (resp. genus 2) at the Siegel--Weil point, and these relations can be seen as examples of an `arithmetic' Siegel--Weil formula. Some partial results and conjectures for higher dimensional cases are also discussed.
Mechanization of Incidence Projective Geometry in Higher Dimensions, a Combinatorial Approach
Creators: name: Schreck, Pascal
name: Magaud, Nicolas
name: Braun, David
Publisher: name: arXiv
Year: 2022
Subjects: subject: Computational Geometry (cs.CG)
subject: Mathematical Software (cs.MS)
subject: Symbolic Computation (cs.SC)
subject: FOS: Computer and information sciences

description: Several tools have been developed to enhance automation of theorem proving in the 2D plane. However, in 3D, only a few approaches have been studied, and to our knowledge, nothing has been done in higher dimensions. In this paper, we present a few examples of incidence geometry theorems in dimensions 3, 4, and 5. We then prove them with the help of a combinatorial prover based on matroid theory applied to geometry.
description: In Proceedings ADG 2021, arXiv:2112.14770
Entwicklung von extrem tiefgründigen Kesselmooren im Plauer Stadtwald (Mecklenburg-Vorpommern)
Development of extrem deep kettle hole mires in the Plauer Stadtwald (Mecklenburg-Vorpommern)
Creators: name: Rowinsky, Volkmar
name: Strahl, Jaqueline
Publisher: name: FID GEO
Year: 2004

description: Abstract: Mire stratigraphical, pollenanalytical and hydrological investigations have been used to reconstruct the development of kettle hole mires in the Plauer Stadtwald (Mecklenburg-Vorpommern). Pollen analysis gives biostratigraphical information about history of vegetation, land use and bog development. Different phases of development of investigated kettle hole mires are shown. Rewetting measures are documented by hydrological investigations.
description: Zusammenfassung: Mit Hilfe von moorstratigraphischen, pollenanalytischen und hydrologischen Untersuchungen wird die Entwicklung von Kesselmooren im Plauer Stadtwald (Mecklenburg-Vorpommern) rekonstruiert. Die Pollenanalyse liefert neben den Ergebnissen zur Wald- und Siedlungsgeschichte das biostratigraphische Gerüst für den zeitlichen Ablauf der Moorentwicklung. Für die untersuchten Kesselmoore werden verschiedene Phasen der Moorentwicklung ausgeschieden. Die durchgeführten Wiedervernässungsmaßnahmen werden über hydrologische Untersuchungen dokumentiert.
description: DFG, SUB Göttingen, DGMT
description: research
Automated Generation of Illustrations for Synthetic Geometry Proofs
Creators: name: Janičić, Predrag
name: Narboux, Julien
Publisher: name: arXiv
Year: 2022
Subjects: subject: Logic in Computer Science (cs.LO)
subject: Symbolic Computation (cs.SC)
subject: FOS: Computer and information sciences

description: We report on a new, simple, modular, and flexible approach for automated generation of illustrations for (readable) synthetic geometry proofs. The underlying proofs are generated using the Larus automated prover for coherent logic, and corresponding illustrations are generated in the GCLC language. Animated illustrations are also supported.
description: In Proceedings ADG 2021, arXiv:2112.14770
Wie schnell fließt Wasser aus einem Hochmoor? - Eine alte Diskussion wiederbetrachtet
How fast is discharge from a raised bog? - An old discussion revisited.
Creators: name: Schaaf, Sake Van Der
Publisher: name: FID GEO
Year: 2005

description: Abstract: An old discussion on the question to what extent bogs may be regarded as discharge-regulating systems is re-examined. At first, a simple theoretical model on the linear relationship of acrotelm transmissivity and specific discharge is developed. Then the model is combined with the equation for recession of the discharge from an emptying linear reservoir. The result is a relationship between reservoir characteristics and specific discharge. This implies a non-linear behaviour of bog discharge, where the outflow shows high peaks with a rapid recession, which, however, gradually turn into low peaks with long recession times at smaller discharges. The model was tested successfully on discharge data from Raheenmore Bog, Ireland.
description: Zusammenfassung: Eine alte Diskussion über die Frage ob und wie Hochmoore Abflüsse regulieren, wird in diesem Aufsatz wiederbetrachtet. Zuerst wird eine einfache Hypothese über die lineare Beziehung zwischen Transmissivität des Akrotelms und Abflussspende entwickelt. Diese Hypothese wird mit einer Gleichung, die den zeitlichen Rückgang des Abflusses aus einem sich leerenden linearen Speicher beschreibt, kombiniert. Das Ergebnis ist die Beziehung eines charakteristischen Wertes des Speichers zur Abflussspende. Dies bedeutet ein nicht-lineares Verhalten des Moorabflusses, wobei der Abfluss zwar kurzfristig hohe Werte hat, aber auch, dass der relative Rückgang des Abflusses sich bei niedrigerem Abfluss immer langsamer vollzieht. Die Hypothese wurde mit Daten vom irischen Hochmoor Raheenmore Bog erfolgreich bestätigt.
description: DFG, SUB Göttingen, DGMT
description: research
Spreads and Packings of PG(3,2), Formally!
Creators: name: Magaud, Nicolas
Publisher: name: arXiv
Year: 2022
Subjects: subject: Logic in Computer Science (cs.LO)
subject: Symbolic Computation (cs.SC)
subject: FOS: Computer and information sciences

description: We study how to formalize in the Coq proof assistant the smallest projective space PG(3,2). We then describe formally the spreads and packings of PG(3,2), as well as some of their properties. The formalization is rather straightforward, however as the number of objects at stake increases rapidly, we need to exploit some symmetry arguments as well as smart proof techniques to make proof search and verification faster and thus tractable using the Coq proof assistant. This work can be viewed as a first step towards formalizing projective spaces of higher dimension, e.g. PG(4,2), or larger order, e.g. PG(3,3).
description: In Proceedings ADG 2021, arXiv:2112.14770
Bericht über die Jahreshauptversammlung der DGMT vom 7. – 10. September 2005 in Stade
Report on the General Meeting of DGMT, September 7.-10.2005 at Stade, Germany
Creators: name: Schmatzler, Eckhard
Publisher: name: FID GEO
Year: 2005

description: DFG, SUB Göttingen, DGMT
description: conference
Algebraic approach for the one-dimensional Dirac-Dunkl oscillator
Creators: name: Ojeda-Guillén, D.
name: Mota, R. D.
name: Salazar-Ramírez, M.
name: Granados, V. D.
Publisher: name: arXiv
Year: 2020
Subjects: subject: Quantum Physics (quant-ph)
subject: Mathematical Physics (math-ph)
subject: FOS: Physical sciences

description: We extend the $(1+1)$-dimensional Dirac-Moshinsky oscillator by changing the standard derivative by the Dunkl derivative. We demonstrate in a general way that for the Dirac-Dunkl oscillator be parity invariant, one of the spinor component must be even, and the other spinor component must be odd, and vice versa. We decouple the differential equations for each of the spinor component and introduce an appropriate $su(1,1)$ algebraic realization for the cases when one of these functions is even and the other function is odd. The eigenfunctions and the energy spectrum are obtained by using the $su(1,1)$ irreducible representation theory. Finally, by setting the Dunkl parameter to vanish, we show that our results reduce to those of the standard Dirac-Moshinsky oscillator.
description: 15 pages
Formalising Geometric Axioms for Minkowski Spacetime and Without-Loss-of-Generality Theorems
Creators: name: Schmoetten, Richard
name: Palmer, Jake
name: Fleuriot, Jacques
Publisher: name: arXiv
Year: 2022
Subjects: subject: Logic in Computer Science (cs.LO)
subject: FOS: Computer and information sciences

description: This contribution reports on the continued formalisation of an axiomatic system for Minkowski spacetime (as used in the study of Special Relativity) which is closer in spirit to Hilbert's axiomatic approach to Euclidean geometry than to the vector space approach employed by Minkowski. We present a brief overview of the axioms as well as of a formalisation of theorems relating to linear order. Proofs and excerpts of Isabelle/Isar scripts are discussed, with a focus on the use of symmetry and reasoning "without loss of generality".
description: In Proceedings ADG 2021, arXiv:2112.14770
Isometric study of Wasserstein spaces --- the real line
Creators: name: Gehér, György Pál
name: Titkos, Tamás
name: Virosztek, Dániel
Publisher: name: arXiv
Year: 2020
Subjects: subject: Metric Geometry (math.MG)
subject: Mathematical Physics (math-ph)
subject: Functional Analysis (math.FA)
subject: Probability (math.PR)
subject: FOS: Mathematics
subject: FOS: Physical sciences
subject: Primary: 54E40, 46E27. Secondary: 60A10, 60B05

description: Recently Kloeckner described the structure of the isometry group of the quadratic Wasserstein space $\mathcal{W}_2\left(\mathbb{R}^n\right)$. It turned out that the case of the real line is exceptional in the sense that there exists an exotic isometry flow. Following this line of investigation, we compute $\mathrm{Isom}\left(\mathcal{W}_p(\mathbb{R})\right)$, the isometry group of the Wasserstein space $\mathcal{W}_p(\mathbb{R})$ for all $p \in [1, \infty)\setminus\{2\}$. We show that $\mathcal{W}_2(\mathbb{R})$ is also exceptional regarding the parameter $p$: $\mathcal{W}_p(\mathbb{R})$ is isometrically rigid if and only if $p\neq 2$. Regarding the underlying space, we prove that the exceptionality of $p=2$ disappears if we replace $\mathbb{R}$ by the compact interval $[0,1]$. Surprisingly, in that case, $\mathcal{W}_p\left([0,1]\right)$ is isometrically rigid if and only if $p\neq1$. Moreover, $\mathcal{W}_1\left([0,1]\right)$ admits isometries that split mass, and $\mathrm{Isom}\left(\mathcal{W}_1\left([0,1]\right)\right)$ cannot be embedded into $\mathrm{Isom}\left(\mathcal{W}_1(\mathbb{R})\right).$
description: 32 pages, 7 figures. Accepted for publication in Trans. Amer. Math. Soc
Veröffentlichungen aus dem deutschen Sprachraum zum Thema „Moor und Torf“ aus dem Jahre 2013 und 2014 mit Nachträgen für frühere Jahre.
Publications on „Peat and Peatland“ from the German language area in 2013 and 2014 with additions for earlier years.
Creators: name: Steffens, Peter
Publisher: name: FID GEO
Year: 2014

description: Die vorliegende Zusammenstellung der Veröffentlichungen auf dem Gebiet „Moor und Torf“ umfasst 104 Titel.
description: DFG, SUB Göttingen, DGMT
description: bibliography
title: Zur Charakterisierung und ökologischen Bewertung des Tessiner Moores bei Karft und Möglichkeiten seiner Sanierung
title: Berichte der Deutschen Gesellschaft für Moor- und Torfkunde
titleType: AlternativeTitle
title: Ecological characterization and assessment of the fen Tessiner Moor near Karft and possibilities of restoration
Creators: name: Gräwe, Dennis
name: Thiele, Volker
name: Rowinsky, Volkmar
Publisher: name: FID GEO
Year: 2004

description: Abstract: The fen Tessiner Moor is situated in the western part of Mecklenburg-Western Pomerania. It has a size of 55 hectare and is divided in a large fen and in small raised bogs. After deep drainage, today woods of Alder and Ash as well as reed swamps of eutrophic sites grow in the fen. Swampy forests and rests of moss bogs are now typical for transitional bogs. Tyrphophilous plants and animals are rare. Therefore analyses to the surface slope and features, stratigraphy, hydrology, selected communities of flora and fauna and the bog classification were started. These lead to an integrated developing concept for the restoration of the fen. The aim of the concept is the recovery of a nearly natural groundwater level and the establishment of a habitat patch connectivity to bring back the tyrphophilous species to the Tessiner Moor. It is planned to create a nature trail for tourists in the restored fen.
description: Zusammenfassung: Das Tessiner Moor liegt im westlichen Teil Mecklenburg-Vorpommerns. Es ist ein 55 ha großes Niedermoor, in dem sich stellenweise Sauer-Zwischenmoore bilden konnten. Nach einer tiefgründigen Entwässerung stocken auf den Niedermoorflächen meist Erlen-Eschen-Wälder und Röhrichte eutropher Standorte. Moorwälder und Reste von Sphagnum-Rasen prägen das Bild der Zwischenmoore. Tyrphophile Tier- und Pflanzenarten sind nur selten nachweisbar. Im Moor wurden Untersuchungen zu den Höhenverhältnissen, zur Geländestruktur, Moorstratigraphie, Hydrologie, ausgewählten Tier- und Pflanzenvergesellschaftungen sowie zur ökologischen Moorgüte vorgenommen. Daraus ist ein integriertes Entwicklungskonzept abgeleitet worden, in dessen Zentrum die Wiederherstellung naturnaher Grundwasserverhältnisse sowie die Wiederansiedlung moortypischer Arten über einen Biotopverbund stehen. Touristisch soll das sanierte Moor durch einen Naturlehrpfad erschlossen werden.
description: DFG, SUB Göttingen, DGMT
description: research
Long-term optical variability of the blazars PKS 2005-489 and PKS 2155-304
Creators: name: Dominici, T. P.
name: Abraham, Z.
name: Teixeira, R.
name: Benevides-Soares, P.
Publisher: name: arXiv
Year: 2004
Subjects: subject: Astrophysics (astro-ph)
subject: FOS: Physical sciences

description: We present optical light curves for the period 1996-2000, of two of the brightest known EGRET BL Lac objects: PKS 2005-489 and PKS 2155-304, the latter also one of the few known TeV sources. For both objects, quiescent epochs of low level of variability were followed by active periods, without any indication of periodicity. In PKS 2005-489, several variability events with duration of about 20 days were observed. In PKS 2155-304 fast drops and subsequent rises in luminosity occurred in time scales of days. We proposed an explanation in which a region moving along the relativistic jet is eclipsed by broad line region clouds or star clusters in the host galaxy. We compare our light curves with contemporaneous X-ray observations from All-Sky Monitor/RXTE. Correlations between optical and X-ray activity were not found in any of the sources at long time scales. However in PKS 2005-489 possible correlations were observed in 1997 and 1998 at short time scales, with optical variability preceding X-rays by 30 days in 1997 and succeeding them by about 10 days in 1998. The analysis of the SED, using the optical data presented here and BeppoSAX contemporaneous observations obtained from the literature, shows only small shifts in the synchrotron peak as the X-ray flux density changes.
description: 23 pages,12 figures, accepted for publication in AJ
Coordinated Multiwavelength Observations of BL Lacertae in 2000
Creators: name: Boettcher, M.
Publisher: name: arXiv
Year: 2003
Subjects: subject: Astrophysics (astro-ph)
subject: FOS: Physical sciences

description: BL Lacertae was the target of an extensive multiwavelength monitoring campaign in the second half of 2000. Simultaneous or quasi-simultaneous observations were taken at radio (UMRAO and Metsaehovi) and optical(WEBT collaboration) frequencies, in X-rays (BeppoSAX and RXTE), and at VHE gamma-rays (HEGRA). The WEBT optical campaign achieved an unprecedented time coverage, virtually continuous over several 10 - 20 hour segments. It revealed intraday variability on time scales of ~ 1.5 hours and evidence for spectral hardening associated with increasing optical flux. During the campaign, BL Lacertae underwent a major transition from a rather quiescent state prior to September 2000, to a flaring state for the rest of the year. This was also evident in the X-ray activity of the source. BeppoSAX observations on July 26/27 revealed a rather low X-ray flux and a hard spectrum, while a BeppoSAX pointing on Oct. 31 - Nov. 2, 2000, indicated significant variability on time scales of < a few hours, and provided evidence for the synchrotron spectrum extending out to ~ 10 keV during that time. During the July 26/27 observation, there is a tantalizing, though not statistically significant, indication of a time delay of ~ 4 - 5 hr between the BeppoSAX and the R-band light curve. Also, a low-significance detection of a time delay of 15 d between the 14.5 GHz and the 22 GHz radio light curves is reported. Several independent methods to estimate the co-moving magnetic field in the source are presented, suggesting a value of ~ 2 e_B^{2/7} G, where e_B is the magnetic-field equipartition factor w.r.t. the electron energy density in the jet.
description: Accepted for publication in ApJ
Galaxy Merger Statistics and Inferred Bulge-to-Disk Ratios in Cosmological SPH Simulations
Creators: name: Maller, Ariyeh
name: Katz, Neal
name: Keres, Dusan
name: Dave, Romeel
name: Weinberg, David H.
Publisher: name: arXiv
Year: 2005
Subjects: subject: Astrophysics (astro-ph)
subject: FOS: Physical sciences

description: We construct merger trees for galaxies identified in a cosmological hydrodynamical simulation and use them to characterize predicted merger rates as a function of redshift, galaxy mass, and merger mass ratio. At z=0.3, we find a mean rate of 0.054 mergers per galaxy per Gyr above a 1:2 mass ratio threshold for massive galaxies (baryonic mass above 6.4E10 \Msun), but only 0.018 / Gyr for lower mass galaxies. The mass ratio distribution is proportional to R_merg^-1.2 for the massive galaxy sample, so high mass mergers dominate the total merger growth rate. The predicted rates increase rapidly with increasing redshift, and they agree reasonably well with observational estimates. A substantial fraction of galaxies do not experience any resolved mergers during the course of the simulation, and even for the high mass sample only 50% of galaxies experience a greater than 1:4 merger since z=1. Typical galaxies thus have fairly quiescent merger histories. We assign bulge-to-disk ratios to simulated galaxies by assuming that mergers above a mass ratio threshold R_major convert stellar disks into spheroids. With R_major of 1:4, we obtain a fairly good match to the observed dependence of early-type fraction on galaxy mass. However, the predicted fraction of truly bulge-dominated systems (f_bulge} > 0.8) is small, and producing a substantial population of bulge-dominated galaxies may require a mechanism that shuts off gas accretion at late times and/or additional processes (besides major mergers) for producing bulges.
description: submitted to MNRAS, 11 pages, 11 figures, a version of the paper with a high resolution version of Figure 2 at http://www.astro.umass.edu/~ari/pub.html
Probing structural relaxation in complex fluids by critical fluctuations
Creators: name: Kostko, A. F.
name: Anisimov, M. A.
name: Sengers, J. V.
Publisher: name: arXiv
Year: 2004
Subjects: subject: Soft Condensed Matter (cond-mat.soft)
subject: FOS: Physical sciences

description: Complex fluids, such as polymer solutions and blends, colloids and gels, are of growing interest in fundamental and applied soft-condensed-matter science. A common feature of all such systems is the presence of a mesoscopic structural length scale intermediate between atomic and macroscopic scales. This mesoscopic structure of complex fluids is often fragile and sensitive to external perturbations. Complex fluids are frequently viscoelastic (showing a combination of viscous and elastic behaviour) with their dynamic response depending on the time and length scales. Recently, non-invasive methods to infer the rheological response of complex fluids have gained popularity through the technique of microrheology, where the diffusion of probe spheres in a viscoelastic fluid is monitored with the aid of light scattering or microscopy. Here we propose an alternative to traditional microrheology that does not require doping of probe particles in the fluid (which can sometimes drastically alter the molecular environment). Instead, our proposed method makes use of the phenomenon of "avoided crossing" between modes associated with the structural relaxation and critical fluctuations that are spontaneously generated in the system.
description: 4 pages, 4 figures
On the photon Green functions in curved space-time
Creators: name: Bimonte, Giuseppe
name: Calloni, Enrico
name: Di Fiore, Luciano
name: Esposito, Giampiero
name: Milano, Leopoldo
name: Rosa, Luigi
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: Quantization of electrodynamics in curved space-time in the Lorenz gauge and with arbitrary gauge parameter makes it necessary to study Green functions of non-minimal operators with variable coefficients. Starting from the integral representation of photon Green functions, we link them to the evaluation of integrals involving Gamma functions. Eventually, the full asymptotic expansion of the Feynman photon Green function at small values of the world function, as well as its explicit dependence on the gauge parameter, are obtained without adding by hand a mass term to the Faddeev--Popov Lagrangian. Coincidence limits of second covariant derivatives of the associated Hadamard function are also evaluated, as a first step towards the energy-momentum tensor in the non-minimal case.
description: 22 pages, plain Tex. All sections and appendices have been improved
A Method for the Automated Discovery of Angle Theorems
Creators: name: Todd, Philip
Publisher: name: arXiv
Year: 2022
Subjects: subject: Symbolic Computation (cs.SC)
subject: FOS: Computer and information sciences

description: The Naive Angle Method, used by Geometry Expressions for solving problems which involve only angle constraints, represents a geometrical configuration as a sparse linear system. Linear systems with the same underlying matrix structure underpin a number of different geometrical theorems. We use a graph theoretical approach to define a generalization of the matrix structure.
description: In Proceedings ADG 2021, arXiv:2112.14770
Bridging transitions and capillary forces for colloids in a slit
Creators: name: Vasilyev, Oleg A.
name: Labbé-Laurent, Marcel
name: Dietrich, S.
name: Kondrat, Svyatoslav
Publisher: name: arXiv
Year: 2020
Subjects: subject: Soft Condensed Matter (cond-mat.soft)
subject: FOS: Physical sciences

description: Capillary bridges can form between colloids immersed in a two phase fluid, e.g., in a binary liquid mixture, if the surface of the colloids prefers the species other than the one favored in the bulk liquid. Here, we study the formation of liquid bridges induced by confining colloids to a slit, with the slit walls having a preference opposite to the one of the colloid surface. Using mean field theory, we show that there is a line of first-order phase transitions between the bridge and the no-bridge states, which ends at a critical point. By decreasing the slit width, this critical point is shifted towards smaller separations between the colloids. However, at very small separations, and far from criticality, we observe only a minor influence of the slit width on the location of the transition. Monte Carlo simulations of the Ising model, which mimics incompressible binary liquid mixtures, confirm the occurrence of the bridging transitions, as manifested by the appearance of bistable regions where both the bridge and the no-bridge configurations are (meta)stable. Interestingly, we find no bistability in the case of small colloids, but we observe a sharpening of the transition when the colloid size increases. In addition, we demonstrate that the capillary force acting between the colloids can depend sensitively on the slit width, and varies drastically with temperature, thus achieving strengths orders of magnitude higher than at criticality of the fluid.
Supporting Proving and Discovering Geometric Inequalities in GeoGebra by using Tarski
Creators: name: Brown, Christopher W.
name: Kovács, Zoltán
name: Vajda, Róbert
Publisher: name: arXiv
Year: 2022
Subjects: subject: Logic (math.LO)
subject: FOS: Mathematics

description: We introduce a system of software tools that can automatically prove or discover geometric inequalities. The system, called GeoGebra Discovery, consisting of an extended version of GeoGebra, a controller web service realgeom, and the computational tool Tarski (with the extensive help of the QEPCAD B system) successfully solves several non-trivial problems in Euclidean planar geometry related to inequalities.
description: In Proceedings ADG 2021, arXiv:2112.14770
Moore als Archive der Natur- und Kulturgeschichte das Arbeitsgebiet der Moorarchäologie
Peatlands, archives of natural and cultural history – the field of peatland archaeology
Creators: name: Bauerochse, Andreas
name: Metzler, Alf
Publisher: name: FID GEO
Year: 2015

description: Die Bedeutung der Moore als besondere Archive der Natur- und Kulturgeschichte wird beschrieben und im Hinblick auf die Entstehung und Entwicklung der Moorarchäologie in Niedersachsen diskutiert. Unter Einbeziehung der Beschreibung heute in der Moorarchäologie zum Einsatz kommender Arbeitsverfahren, werden die Bedeutung der Moore als Bestandteil früher Lebewelten und sozio-kultureller Prozesse beleuchtet. Abschließend werden die gesetzlichen Möglichkeiten zum Schutz des archäologischen Erbes im Moor aufgezeigt.
description: report
Parametric Root Finding for Supporting Proving and Discovering Geometric Inequalities in GeoGebra
Creators: name: Kovács, Zoltán
name: Vajda, Róbert
Publisher: name: arXiv
Year: 2022
Subjects: subject: Algebraic Geometry (math.AG)
subject: Mathematical Software (cs.MS)
subject: FOS: Mathematics
subject: FOS: Computer and information sciences

description: We introduced the package/subsystem GeoGebra Discovery to GeoGebra which supports the automated proving or discovering of elementary geometry inequalities. In this case study, for inequality exploration problems related to isosceles and right angle triangle subclasses, we demonstrate how our general real quantifier elimination (RQE) approach could be replaced by a parametric root finding (PRF) algorithm. The general RQE requires the full cell decomposition of a high dimensional space, while the new method can avoid this expensive computation and can lead to practical speedups. To obtain a solution for a 1D-exploration problem, we compute a Groebner basis for the discriminant variety of the 1-dimensional parametric system and solve finitely many nonlinear real (NRA) satisfiability (SAT) problems. We illustrate the needed computations by examples. Since Groebner basis algorithms are available in Giac (the underlying free computer algebra system in GeoGebra) and freely available efficient NRA-SAT solvers (SMT-RAT, Tarski, Z3, etc.) can be linked to GeoGebra, we hope that the method could be easily added to the existing reasoning tool set for educational purposes.
description: In Proceedings ADG 2021, arXiv:2112.14770
Fresh perspective on gauging the conformal group
Creators: name: Hobson, Michael
name: Lasenby, Anthony
Publisher: name: arXiv
Year: 2020
Subjects: subject: General Relativity and Quantum Cosmology (gr-qc)
subject: High Energy Physics - Theory (hep-th)
subject: FOS: Physical sciences

description: We consider the construction of gauge theories of gravity that are invariant under local conformal transformations. We first clarify the geometric nature of global conformal transformations, in both their infinitesimal and finite forms, and the consequences of global conformal invariance for field theories, before reconsidering existing approaches for gauging the conformal group, namely auxiliary conformal gauge theory and biconformal gauge theory, neither of which is generally accepted as a complete solution. We then demonstrate that, provided any matter fields belong to an irreducible representation of the Lorentz group, the recently proposed extended Weyl gauge theory (eWGT) may be considered as an alternative method for gauging the conformal group, since eWGT is invariant under the full set of local conformal transformations, including inversions, as well as possessing conservation laws that provide a natural local generalisation of those satisfied by field theories with global conformal invariance, and also having an `ungauged' limit that corresponds to global conformal transformations. By contrast, although standard Weyl gauge theory also enjoys the first of these properties, it does not share the other two, and so cannot be considered a valid gauge theory of the conformal group.
description: 27 pages, no figures, minor edits to match published version
RETURNS ON STOCKS, BONDS, AND COMMERCIAL PAPER: LONG-TERM CONSTRUCTION, ANALYSIS, AND COMPARISONS
Creators: name: Wilson, Jack W.
name: Jones, Charles P.
name: Wilson, Jack W.
name: Jones, Charles P.
Publisher: name: Unknown
Year: 1988
Subjects: Financial Economics

description: We report on the results of·the constructiort.of consistent monthly ·returns for two alternative measures of common stocks, for Aaa. bonds, and for commercial pap.er from December 1870 through December 1987. The annual yields, on the assumption of monthly reinvestment of income.returns,· are analyzed and compared in both nominal and inflation-adjusted terms. The average returns for each series are reported by return components for the complete .1871-1987 period as well as for the two subperiods 1871,;,1925 and 1926-1987. ·The purpose of this paper is to extend return data back in time as far as possible, an.d to provide alternative data series for research purposes.
Elliptic curves and class field theory
Creators: name: Mazur, Barry
name: Rubin, Karl
Publisher: name: arXiv
Year: 2003
Subjects: subject: Number Theory (math.NT)
subject: FOS: Mathematics
subject: 11G05, 11R23

description: Suppose $E$ is an elliptic curve defined over $\Q$. At the 1983 ICM the first author formulated some conjectures that propose a close relationship between the explicit class field theory construction of certain abelian extensions of imaginary quadratic fields and an explicit construction that (conjecturally) produces almost all of the rational points on $E$ over those fields. Those conjectures are to a large extent settled by recent work of Vatsal and of Cornut, building on work of Kolyvagin and others. In this paper we describe a collection of interrelated conjectures still open regarding the variation of Mordell-Weil groups of $E$ over abelian extensions of imaginary quadratic fields, and suggest a possible algebraic framework to organize them.