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The occurrence of earthquakes is characterized by a high degree of spatiotemporal complexity. Although numerous patterns, e.g. fore- and aftershock sequences, are well-known, the underlying mechanisms are not observable and thus not understood. Because the recurrence times of large earthquakes are usually decades or centuries, the number of such events in corresponding data sets is too small to draw conclusions with reasonable statistical significance. Therefore, the present study combines both, numerical modeling and analysis of real data in order to unveil the relationships between physical mechanisms and observational quantities. The key hypothesis is the validity of the so-called "critical point concept" for earthquakes, which assumes large earthquakes to occur as phase transitions in a spatially extended many-particle system, similar to percolation models. New concepts are developed to detect critical states in simulated and in natural data sets. The results indicate that important features of seismicity like the frequency-size distribution and the temporal clustering of earthquakes depend on frictional and structural fault parameters. In particular, the degree of quenched spatial disorder (the "roughness") of a fault zone determines whether large earthquakes occur quasiperiodically or more clustered. This illustrates the power of numerical models in order to identify regions in parameter space, which are relevant for natural seismicity. The critical point concept is verified for both, synthetic and natural seismicity, in terms of a critical state which precedes a large earthquake: a gradual roughening of the (unobservable) stress field leads to a scale-free (observable) frequency-size distribution. Furthermore, the growth of the spatial correlation length and the acceleration of the seismic energy release prior to large events is found. The predictive power of these precursors is, however, limited. Instead of forecasting time, location, and magnitude of individual events, a contribution to a broad multiparameter approach is encouraging.
The paper studies catalytic super-Brownian motion on the real line, where the branching rate is controlled by a catalyst. D. A. Dawson, K. Fleischmann and S. Roelly showed, for a broad class of catalysts, that, as for constant branching, the processes are absolutely continuous measures. This paper considers a class of catalysts, called moderate, which must satisfy a uniform boundedness condition and a condition controlling the degree of singularity---essentially that the mass of catalyst in small balls should (uniformly) be of order r^a, where a>0. The main result of this paper shows that for this class of catalysts there is a continuous density field for the process. Moreover the density is the unique solution (in law) of an appropriate SPDE.
We present an excerpt of the document "Quantum Information Processing and Communication: Strategic report on current status, visions and goals for research in Europe", which has been recently published in electronic form at the website of FET (the Future and Emerging Technologies Unit of the Directorate General Information Society of the European Commission, http://www.cordis.lu/ist/fet/qipc-sr.htm). This document has been elaborated, following a former suggestion by FET, by a committee of QIPC scientists to provide input towards the European Commission for the preparation of the Seventh Framework Program. Besides being a document addressed to policy makers and funding agencies (both at the European and national level), the document contains a detailed scientific assessment of the state-of-the-art, main research goals, challenges, strengths, weaknesses, visions and perspectives of all the most relevant QIPC sub-fields, that we report here
We investigate the influence of spatial heterogeneities on various aspects of brittle failure and seismicity in a model of a large strike-slip fault. The model dynamics is governed by realistic boundary conditions consisting of constant velocity motion of regions around the fault, static/kinetic friction laws, creep with depth-dependent coefficients, and 3-D elastic stress transfer. The dynamic rupture is approximated on a continuous time scale using a finite stress propagation velocity ("quasidynamic model''). The model produces a "brittle- ductile'' transition at a depth of about 12.5 km, realistic hypocenter distributions, and other features of seismicity compatible with observations. Previous work suggested that the range of size scales in the distribution of strength-stress heterogeneities acts as a tuning parameter of the dynamics. Here we test this hypothesis by performing a systematic parameter-space study with different forms of heterogeneities. In particular, we analyze spatial heterogeneities that can be tuned by a single parameter in two distributions: ( 1) high stress drop barriers in near- vertical directions and ( 2) spatial heterogeneities with fractal properties and variable fractal dimension. The results indicate that the first form of heterogeneities provides an effective means of tuning the behavior while the second does not. In relatively homogeneous cases, the fault self-organizes to large-scale patches and big events are associated with inward failure of individual patches and sequential failures of different patches. The frequency-size event statistics in such cases are compatible with the characteristic earthquake distribution and large events are quasi-periodic in time. In strongly heterogeneous or near-critical cases, the rupture histories are highly discontinuous and consist of complex migration patterns of slip on the fault. In such cases, the frequency-size and temporal statistics follow approximately power-law relations
We show that realistic aftershock sequences with space-time characteristics compatible with observations are generated by a model consisting of brittle fault segments separated by creeping zones. The dynamics of the brittle regions is governed by static/kinetic friction, 3D elastic stress transfer and small creep deformation. The creeping parts are characterized by high ongoing creep velocities. These regions store stress during earthquake failures and then release it in the interseismic periods. The resulting postseismic deformation leads to aftershock sequences following the modified Omori law. The ratio of creep coefficients in the brittle and creeping sections determines the duration of the postseismic transients and the exponent p of the modified Omori law
Einfluss von Intraguild Predation auf die Dynamik der Planktonsukzession in einem sauren Bergbausee
(2005)
The military in Mexico started out as a revolutionary army that secured the regime of the governmental party PRI. The article discusses the change of this army into a national and hemispheric police force under the influence of the USA. Today, the functions of the Mexican army are a mix of fighting against drugs, organized delinquency, terrorism and counterinsurgency and cooperating with US as well as other Latin American forces.
We study the random-field Ising chain in the limit of strong exchange coupling. In order to calculate the free energy we apply a continuous Langevin-type approach. This continuous model can be solved exactly, whereupon we are able to locate the crossover between an exponential and a power-law decay of the free energy with increasing coupling strength. In terms of magnetization, this crossover restricts the validity of the linear scaling. The known analytical results for the free energy are recovered in the corresponding limits. The outcomes of numerical computations for the free energy are presented, which confirm the results of the continuous approach. We also discuss the validity of the replica method which we then utilize to investigate the sample-to-sample fluctuations of the finite size free energy
Hauptanliegen der Dissertation ist es, einen Entwurf einer praktischen Ästhetik zu lancieren, der an der Schnittstelle zwischen philosophischer Ästhetik und Kunst – genauer Performancekunst - im Zeichen der Bezugsgrösse der Verletzbarkeit steht. In jüngeren Ästhetikansätzen hat sich eine Auffassung herauskristallisiert, die nicht über, sondern mit Kunst reflektiert. Die Pointe im ‚Mit’ liegt darin, dass diese Ästhetiken die Kunst nicht erklären, sie bestimmen und damit ihre Bedeutung festlegen, sondern dass diese entlang der Kunst die Brüche, Widerstände und Zäsuren zwischen Wahrnehmen und Denken markieren und diese als produktiv bewerten. Diese Lesart etabliert ein Denken, das nicht aus der Distanz auf etwas schaut (theoria), sondern ästhetisch-reflektierend (zurückwendend, auch selbstkritisch) mit der Kunst denkt. Die Disziplin der Ästhetik - als aisthesis: Lehre der sinnlichen Wahrnehmung - nimmt innerhalb der Philosophie eine besondere Stellung ein, weil sie auf ebendiese Differenz verweist und deshalb sinnliche und nicht nur logisch-argumentatorische Denkfiguren stärkt. Als eine Möglichkeit, die Kluft, das Nicht-Einholbare, die brüchige Unzulänglichkeit des begrifflich Denkenden gegenüber ästhetischer Erfahrung zu stärken, schlage ich die Bezugsgrösse der Verletzbarkeit vor. Eine solche Ästhetik besteht aus dem Kreieren verletzbarer Orte, wobei diese auf zweierlei Weisen umkreist werden: Zum einen aus der Kunstpraxis heraus anhand der ästhetischen Figur des verletzbaren Körpes, wie er sich in der zeitgenössischen Performance zeigt. Zum anderen als ein Kreieren von Begriffen im Bewusstsein ihrer Verletzbarkeit. Ausgangspunkte sind die Denkentwürfe von Gilles Deleuze und Hans Blumenberg: Die Ästhetik von Gilles Deleuze entwirft eine konkrete Überschneidungsmöglichkeit von Kunst und Philosophie, aus der sich meine These des Mit-Kunst-Denkens entwickeln lässt. Sie kann aus der Grundvoraussetzung des Deleuzeschen Denkens heraus begründet werden, die besagt, dass nicht nur die Kunst, sondern auch die Philosophie eine schöpferische Tätigkeit ist. Beide Disziplinen beruhen auf dem Prinzip der creatio continua, durch welche die Kunst Empfindungen und die Philosophie Begriffe schöpft, wobei eben genau dieser schöpferische Prozess Kunst und Philosophie in ein produktives Verhältnis zueinander treten lässt. Wie Deleuze seine Begriffsarbeit entlang künstlerischer Praxis entwickelt, wird anhand der Analyse des bis heute wenig rezipierten Textes Ein Manifest weniger in Bezug auf das Theater von Carmelo Bene analysiert. Eine ganz anderen Zugang zum Entwurf einer praktischen Ästhetik liefert Hans Blumenberg, der eine Theorie der Unbegrifflichkeit in Aussicht stellt. Im Anschluss an seine Forderung, die Metapher wieder vermehrt in die philosophische Denkpraxis zu integrieren, radikalisiert er seine Forderung, auch das Nichtanschauliche zu berücksichtigen, indem er das gänzlich Unbegriffliche an die Seite des Begrifflichen stellt. Definitorische Schwäche zeigt sich als wahrhaftige Stärke, die in der Unbegrifflichkeit ihren Zenit erreicht. Der Schiffbruch wird von mir als zentrale Metapher – gewissermassen als Metapher der Metapher – verstanden, die das Auf-Grund-Laufen des Allwissenden veranschaulicht. Im Schiffbruch wird die produktive Kollision von Theorie und Praxis deutlich. Deleuze und Blumenberg zeigen über ‚creatio continua’ und ‚Unbegrifflichkeit’ die Grenzen des Begreifens, indem sie betonen, dass sich Ästhetik nicht nur auf künstlerische Erfahrungen bezieht, sondern selber in das Gegenwärtigmachen von Erfahrungen involviert ist. Daraus folgt, dass ästhetische Reflexion nicht nur begrifflich agieren muss. Die praktische Ästhetik animiert dazu, andere darstellerische Formen (Bilder, Töne, Körper) als differente und ebenbürtige reflexive Modi anzuerkennen und sie als verletzbarmachende Formate der Sprache an die Seite zu stellen. Diese Lesart betont den gestalterischen Aspekt der Ästhetik selber. Zur Verdeutlichung dieser Kluft zwischen (Körper-)Bild und Begriff ist der von mir mitgestaltete Film Augen blickeN der Dissertation als Kapitel beigefügt. Dieser Film zeigt Performer und Performerinnen, die sich bewusst entschieden haben, ihren ‚abweichenden’ Körper auf der Bühne zu präsentieren. Das Wort Verletzbarkeit verweist auf die paradoxe Situation, etwas Brüchiges tragfähig zu machen und dadurch auch auf eine besondere Beziehungsform und auf ein existenzielles Aufeinander-Verwiesensein der Menschen. Verletzbarkeit geht alle an, und stiftet deshalb eine Gemeinsamkeit besonderer Art. In diesem Sinne sind verletzbare Orte nicht nur ästhetische, sondern auch ethische Orte, womit die politische Dimension des Vorhabens betont wird.
Thermobarometrical and mineral-chemical investigations by electron microprobe and LA-ICP-MS on a sillimanite- bearing pegmatoid from the Reinbolt Hills provide important constraints on the P-T-X-age relations of part of East Antarctica during Pan-African tectonism. U-Th-total Pb ages of monazite imply that the pegmatoid of originally Grenvillan age (zircon U-Pb age of ca. 900 Ma) underwent a major, late Pan-African (Cambrian) regional, granulite-facies metamorphism between 500 and 550 Ma. Most of the monazite formed during this event, as result of apatite metasomatism owing to infiltration of high-grade metamorphic fluids. Apatite-biotite and other mineral thermobarometers define the peak metamorphic temperatures and pressures with 850-950 degrees C and 0.8-1.0 GPa. The F-Cl-OH relations in apatite, and biotite, the chemistry of fluid inclusions and the presence of K-feldspar microveins suggest that the metasomatising fluid was a CO2-bearing, diluted KCl brine. The pegmatoid is the first record of monazite-(Ce) formed from fluorapatite that is rich in U (up to 2.6 Wt% UO2) and possesses Th/U ratios <1 (0.09 on average). These chemical signatures are direct reflection of the U and Th concentration patterns in the parental fluorapatite
Auf seinen Reisen traf Alexander von Humboldt wiederholt Personen, die später die zufällige Begegnung oder eine flüchtige Bekanntschaft mit ihm für ihren sozialen bzw. gesellschaftlichen Aufstieg zu nutzen versuchten. So war es auch mit Karolina Jaenisch (1810-1893), der späteren K. Karlovna Pavlova, der Tochter eines in Russland ansässigen deutschen Hochschullehrers. Humboldt begegnete ihr 1829 in Moskau bei einer Soiree, und er soll sie zu weiterem literarischen (dichterischen) Schaffen ermuntern haben. Humboldt nahm damals ein Bruchstück des von ihr aus dem Polnischen ins Deutsche übersetzten Poems „Konrad Wallenrod“ von Adam Mickiewicz, dem späteren polnischen prince des poètes, mit, und übergab es Goethe. Zu jener Zeit war Karolina sehr eng mit Mickiewicz befreundet und beteuerte ihm in Briefen ihre grenzlose und ewige Liebe. Mickiewicz war aber fest entschlossen, Russland für immer zu verlassen. Das tat er 1829. In ihrem Sonett „An Alexander von Humboldt“ drückte sie, nach Meinung von Literaturkritikern, ihren unstillbaren Schmerz über den Verlust des geliebten Mickiewicz aus. Humboldt traf Karolina noch einmal 30 Jahre später in Berlin.
This thesis is concerned with the solution of the blind source separation problem (BSS). The BSS problem occurs frequently in various scientific and technical applications. In essence, it consists in separating meaningful underlying components out of a mixture of a multitude of superimposed signals. In the recent research literature there are two related approaches to the BSS problem: The first is known as Independent Component Analysis (ICA), where the goal is to transform the data such that the components become as independent as possible. The second is based on the notion of diagonality of certain characteristic matrices derived from the data. Here the goal is to transform the matrices such that they become as diagonal as possible. In this thesis we study the latter method of approximate joint diagonalization (AJD) to achieve a solution of the BSS problem. After an introduction to the general setting, the thesis provides an overview on particular choices for the set of target matrices that can be used for BSS by joint diagonalization. As the main contribution of the thesis, new algorithms for approximate joint diagonalization of several matrices with non-orthogonal transformations are developed. These newly developed algorithms will be tested on synthetic benchmark datasets and compared to other previous diagonalization algorithms. Applications of the BSS methods to biomedical signal processing are discussed and exemplified with real-life data sets of multi-channel biomagnetic recordings.
We consider networks of chaotic maps with different network topologies. In each case, they are coupled in such a way as to generate synchronized chaotic solutions. By using the methods of control of chaos we are controlling a single map into a predetermined trajectory. We analyze the reaction of the network to such a control. Specifically we show that a line of one-dimensional logistic maps that are unidirectionally coupled can be controlled from the first oscillator whereas a ring of diffusively coupled maps cannot be controlled for more than 5 maps. We show that rings with more elements can be controlled if every third map is controlled. The dependence of unidirectionally coupled maps on noise is studied. The noise level leads to a finite synchronization lengths for which maps can be controlled by a single location. A two-dimensional lattice is also studied. (C) 2005 American Institute of Physics
Noise-sustained and controlled synchronization of stirred excitable media by external forcing
(2005)
Most of the previous studies on constructive effects of noise in spatially extended systems have focused on static media, e.g., of the reaction diffusion type. Because many active chemical or biological processes occur in a fluid environment with mixing, we investigate here the interplay among noise, excitability, mixing and external forcing in excitable media advected by a chaotic flow, in a two-dimensional FitzHugh-Nagumo model described by a set of reaction- advection-diffusion equations. In the absence of external forcing, noise may generate sustained coherent oscillations of the media in a range of noise intensities and stirring rates. We find that these noise-sustained oscillations can be synchronized by external periodic signals much smaller than the threshold. Analysis of the locking regions in the parameter space of the signal period, stirring rate and noise intensity reveals that the mechanism underlying the synchronization behaviour is a matching between the time scales of the forcing signal and the noise-sustained oscillations. The results demonstrate that, in the presence of a suitable level of noise, the stirred excitable media act as self-sustained oscillatory systems and become much easier to be entrained by weak external forcing. Our results may be verified in experiments and are useful to understand the synchronization of population dynamics of oceanic ecological systems by annual cycles
Facile organization of the inorganic sandwiched heteropolytungstomolybdate K-13[Eu(SiW9Mo2O39)(2)] (E) into highly ordered supramolecular nanostructured materials by complexation with a series of cationic surfactants is achieved by the ionic self-assembly (ISA) route. The structure and phase behavior of the complexes were examined by IR spectroscopy, differential scanning calorimetry, optical microscopy, and small- and wide-angle X-ray scattering. This class of materials shows a number of interesting physicochemical properties, namely liquid-crystalline phases (both thermotropic and lyotropic) and strong photoluminescence. The photophysical behavior (fluorescence spectra, fluorescence lifetimes, fluorescence quantum yield) of the complexes differs widely in solid powders, films, and solutions. The amphiphilic cationic surfactants not only play a structural role but also have a strong influence on the photophysical properties of E. The photophysical behavior of E can in this way be easily modified by its organizational motifs
This thesis aimed to investigate several fundamental and perplexing questions relating to the phloem loading and transport mechanisms of Cucurbita maxima, by combining metabolomic analysis with cell biological techniques. This putative symplastic loading species has long been used for experiments on phloem anatomy, phloem biochemistry, phloem transport physiology and phloem signalling. Symplastic loading species have been proposed to use a polymer trapping mechanism to accumulate RFO (raffinose family oligosaccharides) sugars to build up high osmotic pressure in minor veins which sustains a concentration gradient that drives mass flow. However, extensive evidence indicating a low sugar concentration in their phloem exudates is a long-known problem that conflicts with this hypothesis. Previous metabolomic analysis shows the concentration of many small molecules in phloem exudates is higher than that of leaf tissues, which indicates an active apoplastic loading step. Therefore, in the view of the phloem metabolome, a symplastic loading mechanism cannot explain how small molecules other than RFO sugars are loaded into phloem. Most studies of phloem physiology using cucurbits have neglected the possible functions of vascular architecture in phloem transport. It is well known that there are two phloem systems in cucurbits with distinctly different anatomical features: central phloem and extrafascicular phloem. However, mistaken conclusions on sources of cucurbit phloem exudation from previous reports have hindered consideration of the idea that there may be important differences between these two phloem systems. The major results are summarized as below: 1) O-linked glycans in C.maxima were structurally identified as beta-1,3 linked glucose polymers, and the composition of glycans in cucurbits was found to be species-specific. Inter-species grafting experiments proved that these glycans are phloem mobile and transported uni-directionally from scion to stock. 2) As indicated by stable isotopic labelling experiments, a considerable amount of carbon is incorporated into small metabolites in phloem exudates. However, the incorporation of carbon into RFO sugars is much faster than for other metabolites. 3) Both CO2 labelling experiments and comparative metabolomic analysis of phloem exudates and leaf tissues indicated that metabolic processes other than RFO sugar metabolism play an important role in cucurbit phloem physiology. 4) The underlying assumption that the central phloem of cucurbits continuously releases exudates after physical incision was proved wrong by rigorous experiments including direct observation by normal microscopy and combined multiple-microscopic methods. Errors in previous experimental confirmation of phloem exudation in cucurbits are critically discussed. 5) Extrafascicular phloem was proved to be functional, as indicated by phloem-mobile carboxyfluorescein tracer studies. Commissural sieve tubes interconnect phloem bundles into a complete super-symplastic network. 6) Extrafascicular phloem represents the main source of exudates following physical incision. The major transported metabolites by these extrafacicular phloem are non-sugar compounds including amino acids, O-glycans, amines. 7) Central phloem contains almost exclusively RFO sugars, the estimated amount of which is up to 1 to 2 molar. The major RFO sugar present in central phloem is stachyose. 8) Cucurbits utilize two structurally different phloem systems for transporting different group of metabolites (RFO sugars and non-RFO sugar compounds). This implies that cucurbits may use spatially separated loading mechanisms (apoplastic loading for extrafascicular phloem and symplastic loading for central phloem) for supply of nutrients to sinks. 9) Along the transport systems, RFO sugars were mainly distributed within central phloem tissues. There were only small amounts of RFO sugars present in xylem tissues (millimolar range) and trace amounts of RFO sugars in cortex and pith. The composition of small molecules in external central phloem is very different from that in internal central phloem. 10) Aggregated P-proteins were manually dissected from central phloem and analysed by both SDS-PAGE and mass spectrometry. Partial sequences of peptides were obtained by QTOF de novo sequencing from trypsin digests of three SDS-PAGE bands. None of these partial sequences shows significant homology to known cucurbit phloem proteins or other plant proteins. This proves that these central phloem proteins are a completely new group of proteins different from those in extrafascicular phloem. The extensively analysed P-proteins reported in literature to date are therefore now shown to arise from extrafascicular phloem and not central phloem, and therefore do not appear to be involved in the occlusion processes in central phloem.
We investigate the lifetime of magnetically trapped atoms above a planar, layered atom chip structure. Numerical calculations of the thermal magnetic noise spectrum are performed, based on the exact magnetic Green function and multi layer reflection coefficients. We have performed lifetime measurements where the center of a side guide trap is laterally shifted with respect to the current carrying wire using additional bias fields. Comparing the experiment to theory, we find a fair agreement and demonstrate that for a chip whose topmost layer is metallic, the magnetic noise depends essentially on the thickness of that layer, as long as the layers below have a, much smaller conductivity; essentially the same magnetic noise would be obtained with a metallic membrane suspended in vacuum. Based on our theory we give general scaling laws of how to reduce the effect of surface magnetic noise on the trapped atoms
Este artículo tiene dos objetivos principales. Ambos están motivados por el hallazgo del diario humboldtiano sobre Cuba en 1804, hasta ahora desconocido (en la Biblioteka Jagiellonska Kraków por Ulrike Leitner). Primero, el artículo pretende exponer la génesis tanto discontinuada como coherente de la enemistad humboldtiana con la esclavitud (que culmina en cierto grado en este “nuevo” diario y que configura in nuce el “Ensayo sobre Cuba” del propio Humboldt). Segundo, el artículo presenta la – a nivel de la historia de las sciencias – sensación, que Humboldt empezó a aplicar sistemáticamente métodos de comparación scientífica a las condiciones sociales, históricas y socio-económicas de la esclavitud, cuando en 1804 supo en Veracruz o La Habana de la proclamación del estado “Haity”. Estos dos reconocimientos del artículo presente cambian profundamente nuestros conocimientos de la relación política de Humboldt en cuanto a dos grupos mayores de la población (partes de la élite criolla que planificó fundar “una república blanca” a manera de la revolución francesa de 1789 y el grupo o la “casta” de los llamados “pardos”) en “el umbral de la revolución de Independencia”.