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Background: Circulating progenitor cells (CPC) contribute to the homeostasis of the vessel wall, and a reduced CPC count predicts cardiovascular morbidity and mortality. We tested the hypothesis that CPC count improves cardiovascular risk stratification and that this is modulated by low-grade inflammation. Methodology/Principal Findings: We pooled data from 4 longitudinal studies, including a total of 1,057 patients having CPC determined and major adverse cardiovascular events (MACE) collected. We recorded cardiovascular risk factors and high-sensitive C-reactive protein (hsCRP) level. Risk estimates were derived from Cox proportional hazard analyses. CPC count and/or hsCRP level were added to a reference model including age, sex, cardiovascular risk factors, prevalent CVD, chronic renal failure (CRF) and medications. The sample was composed of high-risk individuals, as 76.3% had prevalent CVD and 31.6% had CRF. There were 331 (31.3%) incident MACE during an average 1.7±1.1 year follow-up time. CPC count was independently associated with incident MACE even after correction for hsCRP. According to C-statistics, models including CPC yielded a non-significant improvement in accuracy of MACE prediction. However, the integrated discrimination improvement index (IDI) showed better performance of models including CPC compared to the reference model and models including hsCRP in identifying MACE. CPC count also yielded significant net reclassification improvements (NRI) for CV death, non-fatal AMI and other CV events. The effect of CPC was independent of hsCRP, but there was a significant more-than-additive interaction between low CPC count and raised hsCRP level in predicting incident MACE. Conclusions/Significance: In high risk individuals, a reduced CPC count helps identifying more patients at higher risk of MACE over the short term, especially in combination with a raised hsCRP level.
Since the beginning of the 1990s, it has been widely expected that the implementation of the European Single Market would lead to a rapid convergence of Europe’s financial systems. In the present paper we will show that at least in the period prior to the introduction of the common currency this expected convergence did not materialise. Our empirical studies on the significance of various institutions within the financial sectors, on the financing patterns of firms in various countries and on the predominant mechanisms of corporate governance, which are summarised and placed in a broader context in this paper, point to few, if any, signs of a convergence at a fundamental or structural level between the German, British and French financial systems. The German financial system continues to appear to be bank-dominated, while the British system still appears to be capital market-dominated. During the period covered by the research, i.e. 1980 – 1998, the French system underwent the most far-reaching changes, and today it is difficult to classify. In our opinion, these findings can be attributed to the effects of strong path dependencies, which are in turn an outgrowth of relationships of complementarity between the individual system components. Projecting what we have observed into the future, the results of our research indicate that one of two alternative paths of development is most likely to materialise: either the differences between the national financial systems will persist, or – possibly as a result of systemic crises – one financial system type will become the dominant model internationally. And if this second path emerges, the Anglo-American, capital market-dominated system could turn out to be the “winner”, because it is better able to withstand and weather crises, but not necessarily because it is more efficient.
Wenn man untersuchen möchte, ob sich die Finanzsysteme verschiedener Länder im Verlauf der letzten Jahre aneinander angeglichen haben oder demnächst angleichen werden, braucht man ein Konzept zur Beschreibung von Finanzsystemen, durch das wesentliche Strukturen, deren Unterschiede und Veränderungen erkennbar werden, ohne dabei in "Systemgeschwafel" (D. Schneider) abzugleiten. Wir haben dafür das Konzept der Komplementarität als nützlich identifiziert. Der Beitrag stellt dieses Konzept vor und soll und seine Eignung belegen. Letztlich geht es dabei auch um die Frage, ob reale Finanzsysteme konsistente Systeme mit komplementären Elementen darstellen. Nach der Vorstellung der formalen Konzepte der Komplementarität und der Konsistenz wird "das Finanzsystem" auf seine Komple mentarität untersucht. Dazu wird ein Finanzsystem aus der Sicht von Unternehmen des nichtfinanziellen Sektors als ein System gekennzeichnet, das aus drei Teilsystemen besteht. Das erste Teilsystem ist das Finanzierungssystem einschließlich Finanzsektor und Mustern der Unternehmensfinanzierung, das zweite das Corporate Governance-System und das dritte das Unternehmens-Strategie-System. Für alle drei Teilsysteme wird – allgemein und mit Bezug auf die Finanzsysteme Deutschlands, Japans und der USA - gezeigt, inwieweit die Elemente der betreffenden Teilsysteme untereinander komplementär sind, und geprüft, ob sie in ihren Ausprägungen auch konsistent sind, d.h. wirklich "zueinander passen". Untersucht wird auch die Komplementarität und Konsistenz zwischen den Teilsystemen selbst. Der Beitrag endet mit Überlegungen über die Anwendung des Komplementaritätskonzepts. Dass ein Finanzsystem die Eigenschaft der Komplementarität aufweist, hat nicht nur weitreichende Implikationen für die Methodik der Analyse von Finanzsystemen, sondern auch für die Vorhersehbarkeit der Entwicklung von Finanzsystemen und damit für die Wahrscheinlichkeit einer Konvergenz von Finanzsystemen, für deren Effizienzeigenschaften und für die Möglichkeiten, Finanzsysteme durch gestaltende Eingriffe zu verbessern.
A widely recognized paper by Colin Mayer (1988) has led to a profound revision of academic thinking about financing patterns of corporations in different countries. Using flow-of-funds data instead of balance sheet data, Mayer and others who followed his lead found that internal financing is the dominant mode of financing in all countries, that therefore financial patterns do not differ very much between countries and that those differences which still seem to exist are not at all consistent with the common conviction that financial systems can be classified as being either bank-based or capital market-based. This leads to a puzzle insofar as it calls into question the empirical foundation of the widely held belief that there is a correspondence between the financing patterns of corporations on the one side, and the structure of the financial sector and the prevailing corporate governance system in a given country on the other side. The present paper addresses this puzzle on a methodological and an empirical basis. It starts by demonstrating that the surprising empirical results found by Mayer et al. are due to a hidden assumption underlying their methodology. It then derives an alternative method of measuring financing patterns, which also uses flow-of-funds data, but avoids the questionable assumption. This measurement concept is then applied to patterns of corporate financing in Germany, Japan and the United States. The empirical results are very much in line with the commonly held belief prior to Mayer’s influential contribution and indicate that the financial systems of the three countries do indeed differ from one another in a substantial way.
The paper presents an empirical analysis of the alledged transformation of the financial systems in the three major European economies, France, Germany and the UK. Based on a unified data set developed on the basis of national accounts statistics, and employing a new and consistent method of measurement, the following questions are addressed: Is there a common pattern of structural change; do banks lose importance in the process of change; and are the three financial systems becoming more similar? We find that there is neither a general trend towards disintermediation, nor towards a transformation from bank-based to capital market-based financial systems, nor for a loss of importance of banks. Only in the case of France strong signs of transformation as well as signs of a general decline in the role of banks could be found. Thus the three financial systems also do not seem to become more similar. However, there is also a common pattern of change: the intermediation chains are lengthening in all three countries. Nonbank financial intermediaries are taking over a more important role as mobilizers of capital from the non-financial sectors. In combination with the trend towards securitization of bank liabilites, this change increases the funding costs of banks and may put banks under pressure. In the case of France, this change is so pronounced that it might even threaten the stability of the financial system.
In this short note on my talk I want to point out the mathematical difficulties that arise in the study of the relation of Wightman and Euclidean quantum field theory, i.e., the relation between the hierarchies of Wightman and Schwinger functions. The two extreme cases where the reconstructed Wightman functions are either tempered distributions - the well-known Osterwalder-Schrader reconstruction - or modified Fourier hyperfunctions are discussed in some detail. Finally, some perpectives towards a classification of Euclidean reconstruction theorems are outlined and preliminary steps in that direction are presented.
We present a method for the construction of a Krein space completion for spaces of test functions, equipped with an indefinite inner product induced by a kernel which is more singular than a distribution of finite order. This generalizes a regularization method for infrared singularities in quantum field theory, introduced by G. Morchio and F. Strocchi, to the case of singularites of infinite order. We give conditions for the possibility of this procedure in terms of local differential operators and the Gelfand-Shilov test function spaces, as well as an abstract sufficient condition. As a model case we construct a maximally positive definite state space for the Heisenberg algebra in the presence of an infinite infrared singularity. See the corresponding paper: Schmidt, Andreas U.: "Mathematical Problems of Gauge Quantum Field Theory: A Survey of the Schwinger Model" and the presentation "Infinite Infrared Regularization in Krein Spaces"
This extended write-up of a talk gives an introductory survey of mathematical problems of the quantization of gauge systems. Using the Schwinger model as an exactly tractable but nontrivial example which exhibits general features of gauge quantum field theory, I cover the following subjects: The axiomatics of quantum field theory, formulation of quantum field theory in terms of Wightman functions, reconstruction of the state space, the local formulation of gauge theories, indefiniteness of the Wightman functions in general and in the special case of the Schwinger model, the state space of the Schwinger model, special features of the model. New results are contained in the Mathematical Appendix, where I consider in an abstract setting the Pontrjagin space structure of a special class of indefinite inner product spaces - the so called quasi-positive ones. This is motivated by the indefinite inner product space structure appearing in the above context and generalizes results of Morchio and Strocchi [J. Math. Phys. 31 (1990) 1467], and Dubin and Tarski [J. Math. Phys. 7 (1966) 574]. See the corresponding paper: Schmidt, Andreas U.: "Infinite Infrared Regularization and a State Space for the Heisenberg Algebra" and the presentation "Infinite Infrared Regularization in Krein Spaces".
Presentation at the AMS Southeastern Sectional Meeting 14-16 March 2003, and the Workshop Asymptotic Analysis, Stability, and Generalized Functions', 17-19 March 2003, Louisiana State University, Baton Rouge, Louisiana. See the corresponding papers "Mathematical Problems of Gauge Quantum Field Theory: A Survey of the Schwinger Model" and "Infinite Infrared Regularization and a State Space for the Heisenberg Algebra".
Wir führen eine neue Unterklasse der Fourier Hyperfunktionen mit polynomialen Wachstumsbedingungen ein mit dem Ziel, asymptotische Entwicklungen von Hyperfunktionen studieren zu wollen, wie sie für gewisse Distributionenklassen bekannt sind. Wir entwickeln zuerst die Theorie analytischer Funktionale auf Räumen integrabler Funktionen bezüglich Maßen mit Wachstum O(|Re z|^gamma), wobei gamma in R ist, im Unendlichen. Ein an das berühmte Phragmén-Lindelöf-Prinzip erinnerndes, einfaches analytisches Resultat bildet die Basis der Dualitätstheorie dieser Räume zu Funktionen mit festgelegtem Wachstumstyp. Wir studieren diese Dualität analytischer Funktionale mit Wachstumsbedingungen und unbeschränkten Trägern gründlich in einer Dimension unter Verwendung des von den Fourier Hyperfunktionen her bekannten exponentiell abfallenden Cauchy-Hilbert-Kerns. Daraus ergeben sich Analoga zu den Theoremen von Runge und Mittag-Leffler, die die Grundlage für die Garbentheorie der Hyperfunktionen mit polynomialen Wachstumsbedingungen sind, die wir sodann entwickeln. Die für uns wichtigsten neuen Klassen von Fourier Hyperfunktionen sind die von unendlichem Typ, das heißt solche, die wie eine beliebige Potenz wachsen beziehungsweise schneller als jede Potenz abfallen. In n Dimensionen benutzen wir die Fouriertransformation und Dualität um das Verhältnis dieser temperierten beziehungsweise asymptotischen Hyperfunktionen zu bekannten Distributionenräumen zu studieren. Wir leiten Theoreme vom Paley-Wiener-Typ her, die es uns erlauben, unsere Hyperfunktionen in ein Schema zu ordnen, das Wachstumsordnung und Singularität gegenüberstellt. Wir zeigen, daß dieses Schema eine sinvolle Erweiterung des von Gelfand und Shilow zur Charakterisierung von Testfunktionenräumen eingeführten Schemas der Räume S(alpha,beta) um verallgemeinerte Funktionen ist. Schließlich zeigen wir die Nuklearität der temperierten und asymptotischen Hyperfunktionen. Wir zeigen, daß die asymptotischen Hyperfunktionen genau die Klasse bilden, die Moment-asymptotische Entwicklungen erlauben, wie sie von Estrada et al. für Distributionen betrachtet wurden. Estradas Theorie ist damit ein Spezialfall der unsrigen. Für Hyperfunktionen lassen sich aber dank des Konzeptes der standard definierenden Funktionen die Moment-asymptotischen Entwicklungen als klassische asymptotische Entwicklungen von analytischen Funktionen verstehen. Wir zeigen die einfache Beziehung zwischen der Moment-asymptotischen Entwicklung und der Taylorentwicklung der Fouriertransformierten und benutzen dann ein Resultat von Estrada, um die Vollständigkeit unseres Moment-asymptotischen Schemas abzuleiten. Wir geben genaue Bedingungen für die Moment-Folgen von Hyperfunktionen mit kompaktem Träger an, die kürzlich von Kim et al. gefunden wurden. Die asymptotischen Entwicklungen übertragen wir auf den höherdimensionalen Fall, indem wir die von Kaneko und Takiguchi eingeführte Radontransformation für Hyperfunktionen verwenden. Die wohlbekannte Beziehung zwischen Radon- und Fouriertransformation zeigt wiederum das enge Verhältnis von asymptotischer Entwicklung zur Taylorentwicklung der Fouriertransformierten. Wir benutzen Kims Resultate, um die Moment-Folgen von Hyperfunktionen zu charakterisieren, die von Kugeln mit endlichem Radius getragen werden. Schließlich verwenden wir das Träger-Theorem der Radontransformation, um ein Resultat über das Singularitätenspektrum aus Bedingungen an die Radontransformierte abzuleiten.
Presentation at the Università di Pisa, Pisa, Itlay 3 July 2002, the conference on Irreversible Quantum Dynamics', the Abdus Salam ICTP, Trieste, Italy, 29 July - 2 August 2002, and the University of Natal, Pietermaritzburg, South Africa, 14 May 2003. Version of 24 April 2003: examples added; 16 December 2002: revised; 12 Sptember 2002. See the corresponding papers "Zeno Dynamics of von Neumann Algebras", "Zeno Dynamics in Quantum Statistical Mechanics" and "Mathematics of the Quantum Zeno Effect"
The dynamical quantum Zeno effect is studied in the context of von Neumann algebras. It is shown that the Zeno dynamics coincides with the modular dynamics of a localized subalgebra. This relates the modular operator of that subalgebra to the modular operator of the original algebra by a variant of the Kato-Lie-Trotter product formula.
We present an overview of the mathematics underlying the quantum Zeno effect. Classical, functional analytic results are put into perspective and compared with more recent ones. This yields some new insights into mathematical preconditions entailing the Zeno paradox, in particular a simplified proof of Misra's and Sudarshan's theorem. We empahsise the complex-analytic structures associated to the issue of existence of the Zeno dynamics. On grounds of the assembled material, we reason about possible future mathematical developments pertaining to the Zeno paradox and its counterpart, the anti-Zeno paradox, both of which seem to be close to complete characterisations. PACS-Klassifikation: 03.65.Xp, 03.65Db, 05.30.-d, 02.30.T . See the corresponding presentation: Schmidt, Andreas U.: "Zeno Dynamics of von Neumann Algebras" and "Zeno Dynamics in Quantum Statistical Mechanics"
We study the quantum Zeno effect in quantum statistical mechanics within the operator algebraic framework. We formulate a condition for the appearance of the effect in W*-dynamical systems, in terms of the short-time behaviour of the dynamics. Examples of quantum spin systems show that this condition can be effectively applied to quantum statistical mechanical models. Furthermore, we derive an explicit form of the Zeno generator, and use it to construct Gibbs equilibrium states for the Zeno dynamics. As a concrete example, we consider the X-Y model, for which we show that a frequent measurement at a microscopic level, e.g. a single lattice site, can produce a macroscopic effect in changing the global equilibrium. PACS - Klassifikation: 03.65.Xp, 05.30.-d, 02.30. See the corresponding papers: Schmidt, Andreas U.: "Zeno Dynamics of von Neumann Algebras" and "Mathematics of the Quantum Zeno Effect" and the talk "Zeno Dynamics in Quantum Statistical Mechanics" - http://publikationen.ub.uni-frankfurt.de/volltexte/2005/1167/
We reconsider estimates for the heat kernel on weighted graphs recently found by Metzger and Stollmann. In the case that the weights satisfy a positive lower bound as well as a finite upper bound, we obtain a specialized lower estimate and a proper generalization of a previous upper estimate. Reviews: Math. Rev. 1979406, Zbl. Math. 0934.46042
This paper starts out by pointing out the challenges and weaknesses which the German banking systems faces according to the prevailing views among national and international observers. These challenges include a generalproblem of profitability and, possibly as its main reason, the strong role of public banks. These concerns raise the questions whether the facts support this assessment of a general profitability problem and whether there are reasons to expect a fundamental or structural transformation of the German banking system. The paper contains four sections. The first one presents the evidence concerning the profitability problem in a comparative, international perspective. The second section presents information about the so-called three-pillar system of German banking. What might be surprising in this context is that the group of pub lic banks is not only the largest segment of the German banking system, but that the primary savings banks also are its financially most successful part. The German banking system is highly fragmented. This fact suggests to discuss past, present and possible future consolidations in the banking system in the third section. The authors provide evidence to the effect that within- group consolidation has been going on at a rapid pace in the public and the cooperative banking groups in recent years and that this development has not yet come to an end, while within-group consolidation among the large private banks, consolidation across group boundaries at a national level and cross-border or international consolidation has so far only happened at a limited scale, and do not appear to gain momentum in the near future. In the last section, the authors develop their explanation for the fact that large-scale and cross border consolidation has so far not materialized to any great extent. Drawing on the concept of complementarity, they argue that it would be difficult to expect these kinds of mergers and acquisitions happening within a financial system which is itself surprisingly stable, or, as one cal also call it, resistant to change.
A widely recognized paper by Colin Mayer (1988) has led to a profound revision of academic thinking about financing patterns of corporations in different countries. Using flow-of-funds data instead of balance sheet data, Mayer and others who followed his lead found that internal financing is the dominant mode of financing in all countries, that financing patterns do not differ very much between countries and that those differences which still seem to exist are not at all consistent with the common conviction that financial systems can be classified as being either bank-based or capital market-based. This leads to a puzzle insofar as it calls into question the empirical foundation of the widely held belief that there is a correspondence between the financing patterns of corporations on the one side, and the structure of the financial sector and the prevailing corporate governance system in a given country on the other side. The present paper addresses this puzzle on a methodological and an empirical basis. It starts by comparing and analyzing various ways of measuring financial structure and financing patterns and by demonstrating that the surprising empirical results found by studies that relied on net flows are due to a hidden assumption. It then derives an alternative method of measuring financing patterns, which also uses flow-of-funds data, but avoids the questionable assumption. This measurement concept is then applied to patterns of corporate financing in Germany, Japan and the United States. The empirical results, which use an estimation technique for determining gross flows of funds in those cases in which empirical data are not available, are very much in line with the commonly held belief prior to Mayer’s influential contribution and indicate that the financial systems of the three countries do indeed differ from one another in a substantial way, and moreover in a way which is largely in line with the general view of the differences between the financial systems of the countries covered in the present paper.