An infinite level atom coupled to a heat bath

Wir untersuchen die Mathematik endlicher, an ein Wärmebad gekoppelter Teilchensysteme. Das Standard-Modell der Quantenelektrodynamik für Temperatur Null liefert einen Hamilton-Operator H, der die Energie von Teilchen beschreibt, welche mit Photonen wechselwirken. Im Heisenbergbild ist die Zeitevolution des physikalischen Systems durch die Wirkung einer Ein-Parameter-Gruppe auf eine Menge von Observablen A gegeben: Diese steht im Zusammenhang mit der Lösung der Schrödinger-Gleichung für H. Um Zustände von A, welche das physikalische System in der Nähe des thermischen Gleichgewichts zur Temperatur T darstellen, zu beschreiben, folgen wir dem Ansatz von Jaksic und Pillet, eine Darstellung von A zu konstruieren. Die Vektoren in dieser Darstellung definieren die Zustände, die Zeitentwicklung wird mit Hilfe des Standard Liouville-Operators L beschrieben. In dieser Doktorarbeit werden folgende Resultate bewiesen bzw. hergeleitet: - die Konstuktion einer Darstellung - die Selbstadjungiertheit des Standard Liouville-Operators - die Existenz eines Gleichgewichtszustandes in dieser Darstellung - der Limes des physikalischen Systems für große Zeiten.

Mathematical aspects of Feynman integrals

In the present dissertation we consider Feynman integrals in the framework of dimensional regularization. As all such integrals can be expressed in terms of scalar integrals, we focus on this latter kind of integrals in their Feynman parametric representation and study their mathematical properties, partially applying graph theory, algebraic geometry and number theory. The three main topics are the graph theoretic properties of the Symanzik polynomials, the termination of the sector decomposition algorithm of Binoth and Heinrich and the arithmetic nature of the Laurent coefficients of Feynman integrals.rnrnThe integrand of an arbitrary dimensionally regularised, scalar Feynman integral can be expressed in terms of the two well-known Symanzik polynomials. We give a detailed review on the graph theoretic properties of these polynomials. Due to the matrix-tree-theorem the first of these polynomials can be constructed from the determinant of a minor of the generic Laplacian matrix of a graph. By use of a generalization of this theorem, the all-minors-matrix-tree theorem, we derive a new relation which furthermore relates the second Symanzik polynomial to the Laplacian matrix of a graph.rnrnStarting from the Feynman parametric parameterization, the sector decomposition algorithm of Binoth and Heinrich serves for the numerical evaluation of the Laurent coefficients of an arbitrary Feynman integral in the Euclidean momentum region. This widely used algorithm contains an iterated step, consisting of an appropriate decomposition of the domain of integration and the deformation of the resulting pieces. This procedure leads to a disentanglement of the overlapping singularities of the integral. By giving a counter-example we exhibit the problem, that this iterative step of the algorithm does not terminate for every possible case. We solve this problem by presenting an appropriate extension of the algorithm, which is guaranteed to terminate. This is achieved by mapping the iterative step to an abstract combinatorial problem, known as Hironaka's polyhedra game. We present a publicly available implementation of the improved algorithm. Furthermore we explain the relationship of the sector decomposition method with the resolution of singularities of a variety, given by a sequence of blow-ups, in algebraic geometry.rnrnMotivated by the connection between Feynman integrals and topics of algebraic geometry we consider the set of periods as defined by Kontsevich and Zagier. This special set of numbers contains the set of multiple zeta values and certain values of polylogarithms, which in turn are known to be present in results for Laurent coefficients of certain dimensionally regularized Feynman integrals. By use of the extended sector decomposition algorithm we prove a theorem which implies, that the Laurent coefficients of an arbitrary Feynman integral are periods if the masses and kinematical invariants take values in the Euclidean momentum region. The statement is formulated for an even more general class of integrals, allowing for an arbitrary number of polynomials in the integrand.

Bildung in Medienwelten?: Eine biografieanalytische Studie zu Lern- und Bildungsprozessen bei Homosexuellen im Internet

Innerhalb der vorliegenden Untersuchung geht es um die Verknüpfung von Medienbildung, homosexueller Sozialität und der Methodik der Biografieanalyse. Ausgangsbasis ist eine sozialkonstruktivistische Sichtweise auf Geschlecht und (Homo-) Sexualität, wobei eine sozio-historische Kontextualisierung von Homosexualität unter Berücksichtigung von Diskriminierung erfolgt. Im Fokus steht der Coming-out-Prozess, der zwischen Zeigen und Verstecken changiert und mittels des Mediums Internet einen Raum findet, indem neue Bestimmungen homosexueller Identitäten und Formen homosexueller Sozialität möglich werden. Kommunikative Aspekte des Internets werden ausführlich expliziert und durch die strukturelle Medienbildungstheorie nach Marotzki (2009) ergänzt, um mögliche verbundene Bildungsprozesse zu beschreiben. Innerhalb dieser Theorie werden vier kritische Reflexionshorizonte (Wissensbezug, Handlungsbezug, Grenzbezug, Biografiebezug) entfaltet und auf die Artikulations- und Präsentationsmöglichkeiten des Internets bezogen. Deutlich wird, dass das Internet Spielräume für Identitäten bietet, denen Potenziale für reale Identitätskonstruktionen inneliegen. Fassbar werden diese Potenziale durch das medienpädagogische Konstrukt der Medienbiografie, sowie Konzepte der erziehungswissenschaftlichen Biografieforschung (Konstrukt Bildung nach Marotzki, 1990a; Konstrukt Sexualbiografie nach Scheuermann, 1999; 1995). Empirisch orientiert sich die Studie an Methodologie und Methodik der Biografieforschung, Grounded Theory (Glaser/Strauss, 1967) und dem narrationsstrukturellen Verfahren nach Schütze (1984, 1983). Konkret wird auf folgende Forschungsfragen referiert: Wie gestalten sich Lern- und Bildungsprozesse für männliche Homosexuelle in digitalen Medienwelten? Welche Möglichkeiten und Gestaltungschancen gibt es für die Repräsentation des (sexuellen) Selbst im Medium Internet? Welche Auswirkungen haben diese virtuellen Prozesse auf die real gelebte Biografie und das Selbst- und Weltverhältnis der einzelnen Homosexuellen? Durch Rekonstruktion von vier Fallbeispielen werden Möglichkeiten des Internets für die Repräsentation und Identitätsgestaltung von männlichen Homosexuellen präsentiert, bei denen die Gestaltbarkeit von Konstruktionen sexueller Identität und die Problematik der Subjekt-Umwelt-Relation deutlich werden. Im weiteren erfolgt ein kontrastierender Vergleich der Einzelfälle (Dimensionen: Familie, Peer Group, sexualbiografische Entwicklung, Medienbildungsprozesse, biografische Fallstruktur), die einer anschließenden Konstruktion von vier idealtypischen Prozessvarianten der sexualbiografischen Identitätsentwicklung zugeführt werden. Vier verschiedene Möglichkeiten des Internets als Präsentationstraum der eigenen Sexualität und Konstruktionen homosexueller Identität lassen sich somit skizzieren (Virtualitätslagerung, Zweckorientierung, reflexive Balancierung, periodische Selbstaktualisierung). Tentative Bildungs- und Identitätsprozesse sind also in der Virtualität des Internets möglich und können rekursiv-zirkulär auf reale Identitätsentwicklungen und reale Zugänge zu spezifischen sozialen Gruppen einwirken.

Envy: A Psychometric Refinement of the Construct

The noticeable differences in the theoretical and operative definitions of envy across studies and approaches have produced a fragmentary representation and understanding of the envious emotion. The present dissertation aimed to clarify the inherent nature of the construct of envy through the integration of findings from three independent studies. We focused on malicious envy, and investigated it from both a dispositional and an episodic perspective. Studies 1 and 2 investigated the dimensionality of envy as a stable individual characteristic and an episodic emotional state, respectively. In order to elicit episodic envy, a scenario-based experiment was conducted. Results indicated that, in both its dispositional and episodic facets, envy is a bidimensional construct composed by an inner-directed dimension of inferiority and helplessness, and an outer-directed dimension of feelings of anger and ill will. Moreover, findings from Study 1 allowed to establish boundaries between envy and competing constructs that have often been included in conceptualizations of envy. The psychometrically validated definition of envy provided by Studies 1 and 2 represents a valuable contribution to empirical research. Implications for envy research concern the promotion of a shared operationalization of envy in future studies, which will arguably facilitate the comparison of findings between studies and between approaches. Study 3 examined the mechanisms through which dispositional envy affects individuals’ social adjustment and psychological wellbeing. Findings revealed that the detrimental effects of envy on perceived social support and subjective well-being are mostly mediated by other personal characteristics, such as neuroticism and self-esteem. By reducing global self-esteem, the envious disposition may damage supportive social networks via antisocial direct and indirect behaviors that may arise from envy and that are likely to drive others away. On the other hand, by damaging both emotional stability and self-worth, dispositional envy leads to reduced subjective well-being. Implications for clinical practice are discussed.

Coded slotted aloha with multipacket reception over block fading channels (for satellite networks)

Random access (RA) protocols are normally used in a satellite networks for initial terminal access and are particularly effective since no coordination is required. On the other hand, contention resolution diversity slotted Aloha (CRDSA), irregular repetition slotted Aloha (IRSA) and coded slotted Aloha (CSA) has shown to be more efficient than classic RA schemes as slotted Aloha, and can be exploited also when short packets transmissions are done over a shared medium. In particular, they relies on burst repetition and on successive interference cancellation (SIC) applied at the receiver. The SIC process can be well described using a bipartite graph representation and exploiting tools used for analyze iterative decoding. The scope of my Master Thesis has been to described the performance of such RA protocols when the Rayleigh fading is taken into account. In this context, each user has the ability to correctly decode a packet also in presence of collision and when SIC is considered this may result in multi-packet reception. Analysis of the SIC procedure under Rayleigh fading has been analytically derived for the asymptotic case (infinite frame length), helping the analysis of both throughput and packet loss rates. An upper bound of the achievable performance has been analytically obtained. It can be show that in particular channel conditions the throughput of the system can be greater than one packets per slot which is the theoretical limit of the Collision Channel case.

ABCtoolbox: a versatile toolkit for approximate Bayesian computations

Background The estimation of demographic parameters from genetic data often requires the computation of likelihoods. However, the likelihood function is computationally intractable for many realistic evolutionary models, and the use of Bayesian inference has therefore been limited to very simple models. The situation changed recently with the advent of Approximate Bayesian Computation (ABC) algorithms allowing one to obtain parameter posterior distributions based on simulations not requiring likelihood computations. Results Here we present ABCtoolbox, a series of open source programs to perform Approximate Bayesian Computations (ABC). It implements various ABC algorithms including rejection sampling, MCMC without likelihood, a Particle-based sampler and ABC-GLM. ABCtoolbox is bundled with, but not limited to, a program that allows parameter inference in a population genetics context and the simultaneous use of different types of markers with different ploidy levels. In addition, ABCtoolbox can also interact with most simulation and summary statistics computation programs. The usability of the ABCtoolbox is demonstrated by inferring the evolutionary history of two evolutionary lineages of Microtus arvalis. Using nuclear microsatellites and mitochondrial sequence data in the same estimation procedure enabled us to infer sex-specific population sizes and migration rates and to find that males show smaller population sizes but much higher levels of migration than females. Conclusion ABCtoolbox allows a user to perform all the necessary steps of a full ABC analysis, from parameter sampling from prior distributions, data simulations, computation of summary statistics, estimation of posterior distributions, model choice, validation of the estimation procedure, and visualization of the results.

Assessment of the optimal temporal window for intravenous CT cholangiography

The optimal temporal window of intravenous (IV) computed tomography (CT) cholangiography was prospectively determined. Fifteen volunteers (eight women, seven men; mean age, 38 years) underwent dynamic CT cholangiography. Two unenhanced images were acquired at the porta hepatis. Starting 5 min after initiation of IV contrast infusion (20 ml iodipamide meglumine 52%), 15 pairs of images at 5-min intervals were obtained. Attenuation of the extrahepatic bile duct (EBD) and the liver parenchyma was measured. Two readers graded visualization of the higher-order biliary branches. The first biliary opacification in the EBD occurred between 15 and 25 min (mean, 22.3 min +/- 3.2) after initiation of the contrast agent. Biliary attenuation plateaued between the 35- and the 75-min time points. Maximum hepatic parenchymal enhancement was 18.5 HU +/- 2.7. Twelve subjects demonstrated poor or non-visualization of higher-order biliary branches; three showed good or excellent visualization. Body weight and both biliary attenuation and visualization of the higher-order biliary branches correlated significantly (P<0.05). For peak enhancement of the biliary tree, CT cholangiography should be performed no earlier than 35 min after initiation of IV infusion. For a fixed contrast dose, superior visualization of the biliary system is achieved in subjects with lower body weight.

Ermittlung der Leistungsverfügbarkeit zellularer Intralogistiksysteme mit Hilfe von Simulations- und VR-Techniken

Die Bestimmung der Leistungsverfügbarkeit als Maß für den Erfüllungsgrad logistischer Prozesse erfolgt gewöhnlich während des Betriebes einer logistischen Anlage. Wir haben ein Simulationssystem entwickelt, um die Leistungsverfügbarkeit einer zellularen intralogistischen Anlage schon im Vorfeld ermitteln zu können. Die detailgenaue Simulation erfasst dabei nicht nur Einflüsse statischer Parameter wie Dimensionierung der Anlage sondern auch dynamische Parameter, wie Fahrzeugverhalten oder Auftragszusammensetzung. Aufgrund der Echtzeit- und VR-Fähigkeit des vorgestellten Systems, ist eine Präsentation in einer VR-Umgebung möglich. Intuitive Interaktionsmechanismen und Visualisierungs-Metaphern bieten einen intuitiven Zugang zur Leistungsverfügbarkeit des Systems und den Größen, die sie beeinflussen.

A deep dig--hindsight on Holocene vegetation composition from ancient environmental DNA

Want a glimpse at past vegetation? Studying pollen and other plant remains, which are preserved for example in lake sediments or mires for thousands of years, allows us to document regional occurrences of plant species over radiocarbon-dated time series. Such vegetation reconstructions derived from optical analyses of fossil samples are inherently incomplete because they only comprise taxa that contribute sufficient amounts of pollen, spores, macrofossil or other evidences. To complement optical analyses for paleoecological inference, molecular markers applied to ancient DNA (aDNA) may help in disclosing information hitherto inaccessible to biologists. Parducci et al. (2013) targeted aDNA from sediment cores of two lakes in the Scandes Mountains with generic primers in a meta-barcoding approach. When compared to palynological records from the same cores, respective taxon lists show remarkable differences in their compositions, but also in quantitative representation and in taxonomic resolution similar to a previous study (Jørgensen et al. 2012). While not free of assumptions that need critical and robust testing, notably the question of possible contamination, this study provides thrilling prospects to improve our knowledge about past vegetation composition, but also other organismic groups, stored as a biological treasure in the ground.

The EU as an Effective Trade Power? Strategic Choice of Judicial Candidates in the Context of the World Trade Organization

Drawing on the European Union (EU) foreign policy literature on effectiveness, this article studies how the European Union chooses judges to serve on the World Trade Organization’s key judicial institution: the Appellate Body. Conceptually, the article differentiates between effectiveness in representation and effectiveness in impact. The article shows how delegation to the European Commission has increased the strategic agenda-setting power for championing its preferred candidates. The article further compares European and US practice in nominating candidates. Overall, the article finds that effectiveness in representation has increased over time. In terms of effectiveness in impact, the article shows how the international environment conditions the EU’s influence. The article also exposes the difficulties of studying the effectiveness of EU external relations due to the peculiar decision-making processes dominant in judicial bodies.

Adaptive Algorithms for Personalized Diabetes Treatment

Dynamic systems, especially in real-life applications, are often determined by inter-/intra-variability, uncertainties and time-varying components. Physiological systems are probably the most representative example in which population variability, vital signal measurement noise and uncertain dynamics render their explicit representation and optimization a rather difficult task. Systems characterized by such challenges often require the use of adaptive algorithmic solutions able to perform an iterative structural and/or parametrical update process towards optimized behavior. Adaptive optimization presents the advantages of (i) individualization through learning of basic system characteristics, (ii) ability to follow time-varying dynamics and (iii) low computational cost. In this chapter, the use of online adaptive algorithms is investigated in two basic research areas related to diabetes management: (i) real-time glucose regulation and (ii) real-time prediction of hypo-/hyperglycemia. The applicability of these methods is illustrated through the design and development of an adaptive glucose control algorithm based on reinforcement learning and optimal control and an adaptive, personalized early-warning system for the recognition and alarm generation against hypo- and hyperglycemic events.

The Web KnowARR Framework: Orchestrating Computational Intelligence with Graph Databases

This chapter presents fuzzy cognitive maps (FCM) as a vehicle for Web knowledge aggregation, representation, and reasoning. The corresponding Web KnowARR framework incorporates findings from fuzzy logic. To this end, a first emphasis is particularly on the Web KnowARR framework along with a stakeholder management use case to illustrate the framework’s usefulness as a second focal point. This management form is to help projects to acceptance and assertiveness where claims for company decisions are actively involved in the management process. Stakeholder maps visually (re-) present these claims. On one hand, they resort to non-public content and on the other they resort to content that is available to the public (mostly on the Web). The Semantic Web offers opportunities not only to present public content descriptively but also to show relationships. The proposed framework can serve as the basis for the public content of stakeholder maps.