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Design and Implementation of service-oriented architectures imposes a huge number of research questions from the fields of software engineering, system analysis and modeling, adaptability, and application integration. Component orientation and web services are two approaches for design and realization of complex web-based system. Both approaches allow for dynamic application adaptation as well as integration of enterprise application.
Commonly used technologies, such as J2EE and .NET, form de facto standards for the realization of complex distributed systems. Evolution of component systems has lead to web services and service-based architectures. This has been manifested in a multitude of industry standards and initiatives such as XML, WSDL UDDI, SOAP, etc. All these achievements lead to a new and promising paradigm in IT systems engineering which proposes to design complex software solutions as collaboration of contractually defined software services.
Service-Oriented Systems Engineering represents a symbiosis of best practices in object-orientation, component-based development, distributed computing, and business process management. It provides integration of business and IT concerns.
The annual Ph.D. Retreat of the Research School provides each member the opportunity to present his/her current state of their research and to give an outline of a prospective Ph.D. thesis. Due to the interdisciplinary structure of the Research Scholl, this technical report covers a wide range of research topics. These include but are not limited to: Self-Adaptive Service-Oriented Systems, Operating System Support for Service-Oriented Systems, Architecture and Modeling of Service-Oriented Systems, Adaptive Process Management, Services Composition and Workflow Planning, Security Engineering of Service-Based IT Systems, Quantitative Analysis and Optimization of Service-Oriented Systems, Service-Oriented Systems in 3D Computer Graphics sowie Service-Oriented Geoinformatics.
An increasing demand on functionality and flexibility leads to an integration of beforehand isolated system solutions building a so-called System of Systems (SoS). Furthermore, the overall SoS should be adaptive to react on changing requirements and environmental conditions. Due SoS are composed of different independent systems that may join or leave the overall SoS at arbitrary point in times, the SoS structure varies during the systems lifetime and the overall SoS behavior emerges from the capabilities of the contained subsystems. In such complex system ensembles new demands of understanding the interaction among subsystems, the coupling of shared system knowledge and the influence of local adaptation strategies to the overall resulting system behavior arise. In this report, we formulate research questions with the focus of modeling interactions between system parts inside a SoS. Furthermore, we define our notion of important system types and terms by retrieving the current state of the art from literature. Having a common understanding of SoS, we discuss a set of typical SoS characteristics and derive general requirements for a collaboration modeling language. Additionally, we retrieve a broad spectrum of real scenarios and frameworks from literature and discuss how these scenarios cope with different characteristics of SoS. Finally, we discuss the state of the art for existing modeling languages that cope with collaborations for different system types such as SoS.
There is a wealth of evidence showing that increasing the distance between an argument and its head leads to more processing effort, namely, locality effects; these are usually associated with constraints in working memory (DLT: Gibson, 2000; activation-based model: Lewis and Vasishth, 2005). In SOV languages, however, the opposite effect has been found: antilocality (see discussion in Levy et al., 2013). Antilocality effects can be explained by the expectation-based approach as proposed by Levy (2008) or by the activation-based model of sentence processing as proposed by Lewis and Vasishth (2005). We report an eye-tracking and a self-paced reading study with sentences in Spanish together with measures of individual differences to examine the distinction between expectation- and memory-based accounts, and within memory-based accounts the further distinction between DLT and the activation-based model. The experiments show that (i) antilocality effects as predicted by the expectation account appear only for high-capacity readers; (ii) increasing dependency length by interposing material that modifies the head of the dependency (the verb) produces stronger facilitation than increasing dependency length with material that does not modify the head; this is in agreement with the activation-based model but not with the expectation account; and (iii) a possible outcome of memory load on low-capacity readers is the increase in regressive saccades (locality effects as predicted by memory-based accounts) or, surprisingly, a speedup in the self-paced reading task; the latter consistent with good-enough parsing (Ferreira et al., 2002). In sum, the study suggests that individual differences in working memory capacity play a role in dependency resolution, and that some of the aspects of dependency resolution can be best explained with the activation-based model together with a prediction component.
ecoControl
(2015)
Eine dezentrale Energieversorgung ist ein erster Schritt in Richtung Energiewende. Dabei werden auch in Mehrfamilienhäusern vermehrt verschiedene Strom- und Wärmeerzeuger eingesetzt.
Besonders in Deutschland kommen in diesem Zusammenhang Blockheizkraftwerke immer häufiger zum Einsatz, weil sie Gas sehr effizient in Strom und Wärme umwandeln können. Außerdem ermöglichen sie, im Zusammenspiel mit anderen Energiesystemen wie beispielsweise Photovoltaik-Anlagen, eine kontinuierliche und dezentrale Energieversorgung.
Bei dem Betrieb von unterschiedlichen Energiesystemen ist es wünschenswert, dass die Systeme aufeinander abgestimmt arbeiten. Allerdings ist es bisher schwierig, heterogene Energiesysteme effizient miteinander zu betreiben. Dadurch bleiben Einsparungspotentiale ungenutzt.
Eine zentrale Steuerung kann deshalb die Effizienz des Gesamtsystems verbessern.
Mit ecoControl stellen wir einen erweiterbaren Prototypen vor, der die Kooperation von Energiesystemen optimiert und Umweltfaktoren miteinbezieht.
Dazu stellt die Software eine einheitliche Bedienungsoberfläche zur Konfiguration aller Systeme zur Verfügung. Außerdem bietet sie die Möglichkeit, Optimierungsalgorithmen mit Hilfe einer Programmierschnittstelle zu entwickeln, zu testen und auszuführen.
Innerhalb solcher Algorithmen können von ecoControl bereitgestellte Vorhersagen genutzt werden. Diese Vorhersagen basieren auf dem individuellen Verhalten von jedem Energiesystem, Wettervorhersagen und auf Prognosen des Energieverbrauchs. Mithilfe einer Simulation können Techniker unterschiedliche Konfigurationen und Optimierungen sofort ausprobieren, ohne diese über einen langen Zeitraum an realen Geräten testen zu müssen.
ecoControl hilft darüber hinaus auch Hausverwaltungen und Vermietern bei der Verwaltung und Analyse der Energiekosten.
Wir haben anhand von Fallbeispielen gezeigt, dass Optimierungsalgorithmen, welche die Nutzung von Wärmespeichern verbessern, die Effizienz des Gesamtsystems erheblich verbessern können.
Schließlich kommen wir zu dem Schluss, dass ecoControl in einem nächsten Schritt unter echten Bedingungen getestet werden muss, sobald eine geeignete Hardwarekomponente verfügbar ist. Über diese Schnittstelle werden die Messwerte an ecoControl gesendet und Steuersignale an die Geräte weitergeleitet.
Umweltbericht 2013–2014
(2015)
Aus dem Inhalt:
Vorwort
Umweltforschung
Umweltthemen in Lehre und Weiterbildung
Studienprogramme mit Umweltbezug und Lehrveranstaltungen
Umweltbezogene Weiterbildung für Mitarbeiterinnen und Mitarbeiter
Betrieb und Verwaltung
Gebäudebewirtschaftung, Energie- und Medienverbrauch
Flächenverbrauch & Schutz der biologischen Vielfalt
Papier- und Tonerverbrauch
Entsorgung und Sicherheitswesen
Ausblick
Jahresbericht 2013
(2015)
1. Allgemeiner Überblick
2. Organisationsstruktur des MRZ
2.1 Angehörige des MRZ
2.2 Wissenschaftlicher Beirat des MRZ
2.3 Förderverein
3. Aktivitäten im Berichtszeitraum
3.1 Forschungsprojekte und wissenschaftliche Veranstaltungen
3.2 Promotionen
3.3 Lehrveranstaltungen
3.4 Publikationen – Neuerscheinungen 2013
3.5 Wissenschaftliche Vorträge, Vorlesungen, Fachgespräche u. ä.
4. Anhang
Veröffentlicht wird die Textfassung eines Vortrages, welcher am 16. April 2015 auf dem 9. Konsortialtag des Friedrich-Althoff-Konsortium e.V. in Potsdam gehalten wurde. Hintergrund des Vortrages war die aktive Auseinandersetzung der Institution mit vorhandenen Lizenzrechten. Auf dieser Basis wurde ein Workflow zur Identifizierung von Publikationen für die Zweitveröffentlichung erarbeitet. Der vorgestellte Workflow umfasst sieben Schritte, von denen fünf näher erläutert und mit Beispielen einzelner Lizenzen/Verlage unterlegt wurden.
The neurophysiological and behavioral correlates of action-related language processing have been debated for long time. A precursor in this field was the study by Buccino et al. (2005) combining transcranial magnetic stimulation (TMS) and behavioral measures (reaction times, RTs) to study the effect of listening to hand- and foot-related sentences. In the TMS experiment, the authors showed a decrease of motor evoked potentials (MEPs) recorded from hand muscles when processing hand-related verbs as compared to foot-related verbs. Similarly, MEPs recorded from leg muscles decreased when participants processed foot-related as compared to hand-related verbs. In the behavioral experiment, using the same stimuli and a semantic decision task the authors found slower RTs when the participants used the body effector (hand or foot) involved in the actual execution of the action expressed by the presented verb to give their motor responses. These findings were interpreted as an interference effect due to a simultaneous involvement of the motor system in both a language and a motor task. Our replication aimed to enlarge the sample size and replicate the findings with higher statistical power. The TMS experiment showed a significant modulation of hand MEPs, but in the sense of a motor facilitation when processing hand-related verbs. On the contrary, the behavioral experiment did not show significant results. The results are discussed within the general debate on the time-course of the modulation of motor cortex during implicit and explicit language processing and in relation to the studies on action observation/understanding.
Background: Interoceptive awareness (iA), the awareness of stimuli originating inside the body, plays an important role in human emotions and psychopathology. The insula is particularly involved in neural processes underlying iA. However, iA-related neural activity in the insula during the acute state of major depressive disorder (MDD) and in remission from depression has not been explored.
Methods: A well-established fMRI paradigm for studying (iA; heartbeat counting) and exteroceptive awareness (eA; tone counting) was used. Study participants formed three independent groups: patients suffering from MDD, patients in remission from MDD or healthy controls. Task-induced neural activity in three functional subdivisions of the insula was compared between these groups.
Results: Depressed participants showed neural hypo-responses during iA in anterior insula regions, as compared to both healthy and remitted participants. The right dorsal anterior insula showed the strongest response to iA across all participant groups. In depressed participants there was no differentiation between different stimuli types in this region (i.e., between iA, eA and noTask). Healthy and remitted participants in contrast showed clear activity differences.
Conclusions: This is the first study comparing iA and eA-related activity in the insula in depressed participants to that in healthy and remitted individuals. The preliminary results suggest that these groups differ in there being hypo-responses across insula regions in the depressed participants, whilst non-psychiatric participants and patients in remission from MDD show the same neural activity during iA in insula subregions implying a possible state marker for MDD. The lack of activity differences between different stimulus types in the depressed group may account for their symptoms of altered external and internal focus.
Background
Previous literature mainly introduced cognitive functions to explain performance decrements in dual-task walking, i.e., changes in dual-task locomotion are attributed to limited cognitive information processing capacities. In this study, we enlarge existing literature and investigate whether leg muscular capacity plays an additional role in children’s dual-task walking performance.
Methods
To this end, we had prepubescent children (mean age: 8.7 ± 0.5 years, age range: 7–9 years) walk in single task (ST) and while concurrently conducting an arithmetic subtraction task (DT). Additionally, leg lean tissue mass was assessed.
Results
Findings show that both, boys and girls, significantly decrease their gait velocity (f = 0.73), stride length (f = 0.62) and cadence (f = 0.68) and increase the variability thereof (f = 0.20-0.63) during DT compared to ST. Furthermore, stepwise regressions indicate that leg lean tissue mass is closely associated with step time and the variability thereof during DT (R2 = 0.44, p = 0.009). These associations between gait measures and leg lean tissue mass could not be observed for ST (R2 = 0.17, p = 0.19).
Conclusion
We were able to show a potential link between leg muscular capacities and DT walking performance in children. We interpret these findings as evidence that higher leg muscle mass in children may mitigate the impact of a cognitive interference task on DT walking performance by inducing enhanced gait stability.
The origin of cosmic rays was the subject of several studies for over a century. The investigations done within this dissertation are one small step to shed some more light on this mystery.
Locating the sources of cosmic rays is not trivial due to the interstellar magnetic field. However, the Hillas criterion allows us to arrive at the conclusion that supernova remnants are our main suspect for the origin of galactic cosmic rays. The mechanism by which they are accelerating particles is found within the field of shock physics as diffusive shock acceleration. To allow particles to enter this process also known as Fermi acceleration pre-acceleration processes like shock surfing acceleration and shock drift acceleration are necessary. Investigating the processes happening in the plasma shocks of supernova remnants is possible by utilising a simplified model which can be simulated on a computer using Particle-in-Cell simulations.
We developed a new and clean setup to simulate the formation of a double shock, i.e., consisting of a forward and a reverse shock and a contact discontinuity, by the collision of two counter-streaming plasmas, in which a magnetic field can be woven into. In a previous work, we investigated the processes at unmagnetised and at magnetised parallel shocks, whereas in the current work, we move our investigation on to magnetised perpendicular shocks.
Due to a much stronger confinement of the particles to the collision region the perpendicular shock develops much faster than the parallel shock. On the other hand, this leads to much weaker turbulence. We are able to find indications for shock surfing acceleration and shock drift acceleration happening at the two shocks leading to populations of pre-accelerated particles that are suitable as a seed population to be injected into further diffusive shock acceleration to be accelerated to even higher energies. We observe the development of filamentary structures in the shock ramp of the forward shock, but not at the reverse shock. This leads to the conclusion that the development of such structures in the shock ramp of quasi-perpendicular collisionless shocks might not necessarily be determined by the existence of a critical sonic Mach number but by a critical shock speed.
The results of the investigations done within this dissertation might be useful for further studies of oblique shocks and for studies using hybrid or magnetohydrodynamic simulations. Together with more sophisticated observational methods, these studies will help to bring us closer to an answer as to how particles can be accelerated in supernova remnants and eventually become cosmic rays that can be detected on Earth.
Assumed comparable environmental conditions of early Mars and early Earth in 3.7 Ga ago – at a time when first fossil records of life on Earth could be found – suggest the possibility of life emerging on both planets in parallel. As conditions changed, the hypothetical life on Mars either became extinct or was able to adapt and might still exist in biological niches. The controversial discussed detection of methane on Mars led to the assumption, that it must have a recent origin – either abiotic through active volcanism or chemical processes, or through biogenic production. Spatial and seasonal variations in the detected methane concentrations and correlations between the presence of water vapor and geological features such as subsurface hydrogen, which are occurring together with locally increased detected concentrations of methane, gave fuel to the hypothesis of a possible biological source of the methane on Mars.
Therefore the phylogenetically old methanogenic archaea, which have evolved under early Earth conditions, are often used as model-organisms in astrobiological studies to investigate the potential of life to exist in possible extraterrestrial habitats on our neighboring planet. In this thesis methanogenic archaea originating from two extreme environments on Earth were investigated to test their ability to be active under simulated Mars analog conditions. These extreme environments – the Siberian permafrost-affected soil and the chemoautotrophically based terrestrial ecosystem of Movile cave, Romania – are regarded as analogs for possible Martian (subsurface) habitats. Two novel species of methanogenic archaea isolated from these environments were described within the frame of this thesis.
It could be shown that concentrations up to 1 wt% of Mars regolith analogs added to the growth media had a positive influence on the methane production rates of the tested methanogenic archaea, whereas higher concentrations resulted in decreasing rates. Nevertheless it was possible for the organisms to metabolize when incubated on water-saturated soil matrixes made of Mars regolith analogs without any additional nutrients. Long-term desiccation resistance of more than 400 days was proven with reincubation and indirect counting of viable cells through a combined treatment with propidium monoazide (to inactivate DNA of destroyed cells) and quantitative PCR. Phyllosilicate rich regolith analogs seem to be the best soil mixtures for the tested methanogenic archaea to be active under Mars analog conditions. Furthermore, in a simulation chamber experiment the activity of the permafrost methanogen strain Methanosarcina soligelidi SMA-21 under Mars subsurface analog conditions could be proven. Through real-time wavelength modulation spectroscopy measurements the increase in the methane concentration at temperatures down to -5 °C could be detected.
The results presented in this thesis contribute to the understanding of the activity potential of methanogenic archaea under Mars analog conditions and therefore provide insights to the possible habitability of present-day Mars (near) subsurface environments. Thus, it contributes also to the data interpretation of future life detection missions on that planet. For example the ExoMars mission of the European Space Agency (ESA) and Roscosmos which is planned to be launched in 2018 and is aiming to drill in the Martian subsurface.
The term “bilateral deficit” (BLD) has been used to describe a reduction in performance during bilateral contractions when compared to the sum of identical unilateral contractions. In old age, maximal isometric force production (MIF) decreases and BLD increases indicating the need for training interventions to mitigate this impact in seniors. In a cross-sectional approach, we examined age-related differences in MIF and BLD in young (age: 20–30 years) and old adults (age: >65 years). In addition, a randomized-controlled trial was conducted to investigate training-specific effects of resistance vs. balance training on MIF and BLD of the leg extensors in old adults. Subjects were randomly assigned to resistance training (n = 19), balance training (n = 14), or a control group (n = 20). Bilateral heavy-resistance training for the lower extremities was performed for 13 weeks (3 × / week) at 80% of the one repetition maximum. Balance training was conducted using predominately unilateral exercises on wobble boards, soft mats, and uneven surfaces for the same duration. Pre- and post-tests included uni- and bilateral measurements of maximal isometric leg extension force. At baseline, young subjects outperformed older adults in uni- and bilateral MIF (all p < .001; d = 2.61–3.37) and in measures of BLD (p < .001; d = 2.04). We also found significant increases in uni- and bilateral MIF after resistance training (all p < .001, d = 1.8-5.7) and balance training (all p < .05, d = 1.3-3.2). In addition, BLD decreased following resistance (p < .001, d = 3.4) and balance training (p < .001, d = 2.6). It can be concluded that both training regimens resulted in increased MIF and decreased BLD of the leg extensors (HRT-group more than BAL-group), almost reaching the levels of young adults.
Arthur Ewert (1890-1959)
(2015)
Arthur Ewert (1890-1959) war in den zwanziger und frühen dreißiger Jahren ein wichtiger Funktionär der Kommunistischen Partei Deutschlands und der Kommunistischen Internationale.
Er wurde in der Familie eines armen Bauern in Ostpreußen geboren. Nach dem Abschluß der Schule ging er nach Berlin, um hier eine Lehre als Sattler zu absolvieren. Über die Berliner Arbeiterjugendbewegung fand er Kontakt zur Sozialdemokratischen Partei Deutschlands, deren Mitglied er 1908 wurde.
Im Mai 1914 emigrierte er gemeinsam mit seiner langjährigen Lebensgefährtin und späteren Ehefrau Elise Saborowski (1886-1939) nach Nordamerika, wo er sich sofort der sozialistischen Bewegung anschloß. Anfang 1919 gehörte er zu den Mitbegründern der ersten Kommunistischen Partei Kanadas.
Im Sommer 1919 kehrte er nach Deutschland zurück und wurde Mitglied der wenige Monate zuvor gegründeten KPD.
Auf dem Leipziger Parteitag der KPD im Februar 1923 wurde er in die zwanzigköpfige Zentrale seiner Partei gewählt und stieg damit in den engeren Führungszirkel auf.
Nach der gescheiterten »Deutschen Oktoberrevolution« im Herbst 1923 kämpfte er gemeinsam mit Ernst Meyer, Hugo Eberlein, Wilhelm Pieck und anderen um das Überleben der KPD, doch gelang es seiner Gruppe nicht, den Sieg der Linken und Ultralinken im parteiinternen Machtkampf zu verhindern. Ewert wurde politisch »kaltgestellt« und schied für mehr als ein Jahr aus der Parteiführung aus.
In dieser Zeit erfüllte er verschiedene Aufgaben für die Kommunistische Internationale. Bereits im Juni 1923 war er Berichterstatter zur Lage in der Norwegischen Arbeiterpartei gewesen, ab Ende 1924 war er Abgesandter bei der KP Großbritanniens. Im Sommer und Frühherbst 1927 hielt er sich mehrere Monate in den USA auf.
Im Sommer 1925 wurde er auf Veranlassung der Kommunistischen Internationale in die Führung der KPD zurückgeholt. Er trug wesentlich dazu bei, die Parteiführung unter Ernst Thälmann zu stabilisieren und sie – zumindest zeitweise – auf einen realpolitischen Kurs zu orientieren.
Mit dem erneuten »Links«-Schwenk der KPD ab Anfang 1928 wurde er als »Versöhnler« stigmatisiert und zunehmend zur Zielscheibe innerparteilicher Attacken. Der Versuch eines »Befreiungsschlages« unter Ausnutzung der sogenannten Wittorf-Affäre im Herbst 1928 scheiterte, bis zum Sommer 1929 wurde Arthur Ewert auf Drängen Stalins und mit ausdrücklicher Zustimmung Thälmanns aus allen Funktionen in der KPD entfernt.
Nach der Auflösung des Reichstags und dem damit verbundenen Verlust seines Reichstagsmandats im Juli 1930 schied Ewert endgültig aus der deutschen Parteiarbeit aus.
Ende 1930 wurde er zum Leiter des Südamerikanischen Büros der Kommunistischen Internationale in Montevideo, der Hauptstadt Uruguays, ernannt. Er trug damit Verantwortung für die unmittelbare Anleitung der Kommunistischen Parteien im sogenannten Südkegel Südamerikas. In diese Zeit fielen seine ersten Kontakte zu Luiz Carlos Prestes, dem legendären »Ritter der Hoffnung«, mit dem er ab Anfang 1935 in Brasilien zusammenarbeitete.
Von 1932 bis 1934 leitete Arthur Ewert das Büro der Kommunistischen Internationale in Shanghai und spielte dabei eine entscheidende Rolle zugunsten Mao Tse-tungs, dessen politisches Überleben er in einem innerparteilichen Machtkampf der KP Chinas sicherte.
Als Vertreter der Kommunistischen Internationale war Arthur Ewert im Verlaufe des Jahres 1935 an den Versuchen beteiligt, in Brasilien – gestützt auf ein breites Bündnis, die »Nationale Befreiungsallianz« - einen politischen Machtwechsel herbeizuführen. Nach dem Scheitern des von Prestes geführten Aufstandsversuches wurde er Ende 1935 verhaftet. Arthur Ewert verlor in Folge der barbarischen Folterungen in brasilianischer Haft den Verstand.
Er kam im Mai 1945 im Ergebnis einer Amnestie frei. 1947 gelang es seiner Schwester, ihn in die sowjetische Besatzungszone zurückzuholen. Die Ärzte dort konnten nur noch feststellen, daß eine Heilung unmöglich war. Arthur Ewert verbrachte den Rest seines Lebens in einem Pflegeheim in Eberswalde, wo er 1959 starb.
Demografischer Wandel
(2015)
Aus dem Editorial: „Negativzuwanderung“ wählten die Österreicher zu ihrem Unwort des Jahres 2005. Dieser Begriff verdeutlicht einen Aspekt des gesamtgesellschaftlichen Problems des demografischen Wandels, der nicht nur in Österreich seit einiger Zeit für jeden zu spüren ist. Verstanden wird darunter die quantitative und qualitative Veränderung der Bevölkerungsstruktur, die sich für Deutschland und die meisten westeuropäischen Länder mit drei Schlagworten beschreiben lässt: weniger Kinder, mehr Alte, also insgesamt weniger Menschen. Allein für Deutschland wird bis 2050 ein Bevölkerungsrückgang um 20% erwartet. Davon betroffen sind alle Politikfelder, unter anderem die Bildungs- und Sozialpolitik sowie die Arbeitsmarkt- und Infrastrukturpolitik. Eine Herausforderung, die für Politik und Verwaltung gleichermaßen einmalig in der jüngeren Geschichte ist. Als „unterste“ Ebene sind die Kommunen und ihre Einrichtungen besonders stark betroffen, denn sie halten die Mehrzahl der infrastrukturellen und sonstigen öffentlichen Einrichtungen für die Menschen vor, sie sind über einwohnerbezogene Finanzzuweisungssysteme abhängig von „ihren Menschen“ und haben gleichzeitig wenig Einfluss auf die wirtschaftlich bedingten Zu- oder Wegzüge der Einwohner. Sind diese Entwicklungen seit längerer Zeit bekannt und werden intensiv diskutiert, so sind in letzter Zeit eine Reihe von Strategien und Handlungskonzepten entwickelt worden, um mit diesem Problem umgehen zu können. Das Kommunalwissenschaftliche Institut der Universität Potsdam (KWI) veranstaltete am 3. April 2006 eine Fachtagung „Demografie im Wandel. Herausforderungen für die Kommunen“. Zum 12. Mal trafen sich seit der Gründung des Institutes ca. 250 Vertreter der Wissenschaft, der Politik, der Verbände, insbesondere aber der Kommunen, um über aktuelle Demografieprobleme zu diskutieren. Dabei standen sowohl die wissenschaftliche Analyse als auch politische Handlungsstrategien im Fokus der Diskussion. Wichtige Ergebnisse dieser Tagung sind im nachfolgenden KWI-Arbeitsheft festgehalten und werden durch weitere Beiträge zum Thema ergänzt.
Let A be a nonlinear differential operator on an open set X in R^n and S a closed subset of X. Given a class F of functions in X, the set S is said to be removable for F relative to A if any weak solution of A (u) = 0 in the complement of S of class F satisfies this equation weakly in all of X. For the most extensively studied classes F we show conditions on S which guarantee that S is removable for F relative to A.
We define weak boundary values of solutions to those nonlinear differential equations which appear as Euler-Lagrange equations of variational problems. As a result we initiate the theory of Lagrangian boundary value problems in spaces of appropriate smoothness. We also analyse if the concept of mapping degree of current importance applies to the study of Lagrangian problems.
Processes having the same bridges as a given reference Markov process constitute its reciprocal class. In this paper we study the reciprocal class of a continuous time random walk with values in a countable Abelian group, we compute explicitly its reciprocal characteristics and we present an integral characterization of it. Our main tool is a new iterated version of the celebrated Mecke's formula from the point process theory, which allows us to study, as transformation on the path space, the addition of random loops. Thanks to the lattice structure of the set of loops, we even obtain a sharp characterization. At the end, we discuss several examples to illustrate the richness of reciprocal classes. We observe how their structure depends on the algebraic properties of the underlying group.