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Recent Development In Stochastic Dynamics And Stochastic Analysis
Stochastic dynamical systems and stochastic analysis are of great interests not only to mathematicians but also to scientists in other areas. Stochastic dynamical systems tools for modeling and simulation are highly demanded in investigating complex phenomena in, for example, environmental and geophysical sciences, materials science, life sciences, physical and chemical sciences, finance and economics.The volume reflects an essentially timely and interesting subject and offers reviews on the recent and new developments in stochastic dynamics and stochastic analysis, and also some possible future research directions. Presenting a dozen chapters of survey papers and research by leading experts in the subject, the volume is written with a wide audience in mind ranging from graduate students, junior researchers to professionals of other specializations who are interested in the subject.
Differential Equations, Asymptotic Analysis, and Mathematical Physics
This volume contains a collection of original papers, associated with the International Conference on Partial Differential Equations, held in Potsdam, July 29 to August 2, 1996. The conference has taken place every year on a high scientific level since 1991; this event is connected with the activities of the Max Planck Research Group for Partial Differential Equations at Potsdam. Outstanding researchers and specialists from Armenia, Belarus, Belgium, Bulgaria, Canada, China, France, Germany, Great Britain, India, Israel, Italy, Japan, Poland, Romania, Russia, Spain, Sweden, Switzerland, Ukraine, and the USA contribute to this volume. The main topics concern recent progress in partial differential equations, microlocal analysis, pseudo-differential operators on manifolds with singularities, aspects in differential geometry and index theory, operator theory and operator algebras, stochastic spectral analysis, semigroups, Dirichlet forms, Schrodinger operators, semiclassical analysis, and scattering theory.
Risk Measurement
This book combines theory and practice to analyze risk measurement from different points of view. The limitations of a model depend on the framework on which it has been built as well as specific assumptions, and risk managers need to be aware of these when assessing risks. The authors investigate the impact of these limitations, propose an alternative way of thinking that challenges traditional assumptions, and also provide novel solutions. Starting with the traditional Value at Risk (VaR) model and its limitations, the book discusses concepts like the expected shortfall, the spectral measure, the use of the spectrum, and the distortion risk measures from both a univariate and a multivariate perspective.
Vector Optimization with Infimum and Supremum
The theory of Vector Optimization is developed by a systematic usage of infimum and supremum. In order to get existence and appropriate properties of the infimum, the image space of the vector optimization problem is embedded into a larger space, which is a subset of the power set, in fact, the space of self-infimal sets. Based on this idea we establish solution concepts, existence and duality results and algorithms for the linear case. The main advantage of this approach is the high degree of analogy to corresponding results of Scalar Optimization. The concepts and results are used to explain and to improve practically relevant algorithms for linear vector optimization problems.
Ost-West-Sprachgebrauch — zehn Jahre nach der Wende
An den universitaren Einrichtungen in Wittenberg" ge grundet. Das erwahnte Gebaude auf dem Gelande der fruheren Wittenberger Universitat war zunachst nach dem Umzug der Universitat in die Stadt Halle zur Kaserne fur die Garnisonsstadt Wittenberg umgebaut worden. N ach der "Entfestigung" der Stadt im Jahr 1873 wurden in dem Gebaude stadtische Wohnungen eingerichtet. Zu Beginn der 1990er Jahre befand sich der gesamte Gebaudekom plex in einem beklagenswerten Zustand. Es war eine grundlegende Sanierung notwendig, urn optimale Bedin gungen fUr die kunftige Nutzung zu schaffen. Das gelang in hervorragender Weise, was auch durch die in die fol genden Texte eingestreuten Abbildungen dokumentiert wird. Die drei Flugel des Gebaudes wurden in den Jahren 1996, 1997 und 1998 fertiggestellt. Die Gestaltung des In nenhofes im Jahr 1999 rundete das AuBere des Bauen sembles abo 1m Nordflugel befindet sich im Erdgeschoss ein moderner, mit allem technischen Raffinement einge richteter Horsaal, in dem auch Simultanubersetzungen moglich sind. Hier finden nun - gewissermaBen aus dem Exil in der Stadt auf universitaren Boden zuruckgekehrt - die Veranstaltungen des Akademischen Senates statt
Mathematical Reviews
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