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Schrödinger Equations and Diffusion Theory addresses the question “What is the Schrödinger equation?” in terms of diffusion processes, and shows that the Schrödinger equation and diffusion equations in duality are equivalent. In turn, Schrödinger’s conjecture of 1931 is solved. The theory of diffusion processes for the Schrödinger equation tells us that we must go further into the theory of systems of (infinitely) many interacting quantum (dif...

The 2010 tsunamis generated in Haiti, Chile, and Indonesia caused various damage on the coasts. In the past, the 1755 Lisbon, 1964 Alaska, and 2003 Algeria earthquakes also generated damaging tsunamis. This volume contains an introduction and 18 papers, mostly presented at the 25th International Tsunami Symposium held 1-4 July 2011. They report the above tsunamis and discuss tsunami DART observations, warning systems, risk management in the Pa...

This twelfth volume in the Poincaré Seminar Series presents a complete and interdisciplinary perspective on the concept of Chaos, both in classical mechanics in its deterministic version, and in quantum mechanics. This book expounds some of the most wide ranging questions in science, from uncovering the fingerprints of classical chaotic dynamics in quantum systems, to predicting the fate of our own planetary system. Its seven articles are also...

Wie wurde aus dem Physiker Andrej Sacharow ein Vorkämpfer für die Menschenrechte? Darauf gibt diese Biografie eine Antwort, indem sie dem Physiker und der öffentlichen Person gleichermaßen gerecht wird. Gestützt auf bisher unzugängliche Dokumente und Augenzeugenberichte, zeigt der Autor zum einen, dass Spionage zwar den Anstoß zum sowjetischen Kernwaffenprojekt gab, die Wasserstoffbombe jedoch unabhängig davon erfunden wurde. Zum anderen erhel...

This tenth volume in the Poincaré Seminar Series describes recent developments at one of the most challenging frontiers in statistical physics - the deeply related fields of glassy dynamics, especially near the glass transition, and of the statics and dynamics of granular systems. These fields are marked by a vigorous interchange between experiment, theory, and numerical studies, all of which are well represented by the leading experts who hav...

The book provides a quick overview of a wide range of active research areas in partial differential equations such as evolution equations and estimates for their solutions, control theory, inverse problems, nonlinear equations, elliptic theory on singular domains, numerical approaches. It will serve as a useful source of information to mathematicians, scientists and engineers. Contributors:Y.P. ApakovG. AvalosL. BociuL. Boutet de MonvelF. Colo...

These proceedings represent the current state of research on the topics 'boundary theory' and 'spectral and probability theory' of random walks on infinite graphs. They are the result of the two workshops held in Styria (Graz and St. Kathrein am Offenegg, Austria) between June 29th and July 5th, 2009. Many of the participants joined both meetings. Even though the perspectives range from very different fields of mathematics, they all contribute...

Gamma-Glutamyl Transpeptidases (¿-GTs) are members of the N-terminal nucleophile hydrolase superfamily, enzymes that cleave the ¿-glutamyl amide bond of glutathione to liberate cysteinylglycine. The released ¿-glutamyl group can be transferred to water (hydrolysis) or to amino acids or short peptides (transpeptidation). ¿-GT plays a key role in the gamma glutamyl cycle by regulating the cellular levels of the antioxidant glutathione, hence it ...

Logic, the discipline that explores valid reasoning, does not need to be limited to a specific form of representation but should include any form as long as it allows us to draw sound conclusions from given information. The use of diagrams has a long but unequal history in logic: The golden age of diagrammatic logic of the 19th century thanks to Euler and Venn diagrams was followed by the early 20th century's symbolization of modern logic by F...

Vor mehr als 300 geladenen Gästen feierte das Bundesamt für Verbraucherschutz und Lebensmittelsicherheit (BVL) am 31. Oktober 2012 in Braunschweig sein zehnjähriges Bestehen mit einem fachlichen Symposium und einer Festveranstaltung. Die Vorträge der Referenten des Fachsymposiums und die Grußworte der Festredner sind in diesem Bericht abgedruckt. Impressionen der Jubiläumsveranstaltung und eine Aufbereitung der zehnjährigen BVL-Geschichte ergä...

There is now compelling evidence that the complexity of higher organisms correlates with the relative amount of non-coding RNA rather than the number of protein-coding genes. Previously dismissed as "junk DNA", it is the non-coding regions of the genome that are responsible for regulation, facilitating complex temporal and spatial gene expression through the combinatorial effect of numerous mechanisms and interactions working together to fine-...

The book begins at an undergraduate student level, assuming only basic knowledge of calculus in one variable. It rigorously treats topics such as multivariable differential calculus, the Lebesgue integral, vector calculus and differential equations. After having created a solid foundation of topology and linear algebra, the text later expands into more advanced topics such as complex analysis, differential forms, calculus of variations, differ...

The book contains reproductions of the most important papers that gave birth to the first developments in nonlinear programming. Of particular interest is W. Karush's  often quoted Master Thesis, which is published for the first time. The anthology includes an extensive preliminary chapter, where the editors trace out the history of mathematical programming, with special reference to linear and nonlinear programming.

Quaternion and Clifford Fourier and wavelet transformations generalize the classical theory to higher dimensions and are becoming increasingly important in diverse areas of mathematics, physics, computer science and engineering. This edited volume presents the state of the art in these hypercomplex transformations. The Clifford algebras unify Hamilton’s quaternions with Grassmann algebra. A Clifford algebra is a complete algebra of a vector sp...

Zoonosen sind Krankheiten bzw. Infektionen, die auf natürlichem Weg direkt oder indirekt zwischen Menschen und Tieren übertragen werden können. Mit Zoonoseerregern kontaminierte Lebensmittel stellen eine wichtige Infektionsquelle für den Menschen dar. Beim Zoonosen-Monitoring werden repräsentative Daten über das Auftreten von Zoonoseerregern in Lebensmitteln, Futtermitteln und lebenden Tieren erfasst, ausgewertet und veröffentlicht. Weiterhin ...

Biological O2 sensing probes and measurement techniques were first introduced in the late 80s. In the last 3-5 years they have undergone major development that have made them available and affordable for a broad range of applications in various disciplines of the life and biomedical sciences. These new chemistries and technologies, which are significantly different from the majority of other fluorescence-based probes and detection techniques, ...

The notes in this volume correspond to advanced courses held at the Centre de Recerca Matemàtica as part of the research program in Arithmetic Geometry in the 2009-2010 academic year.The notes by Laurent Berger provide an introduction to p-adic Galois representations and Fontaine rings, which are especially useful for describing many local deformation rings at p that arise naturally in Galois deformation theory.The notes by Gebhard Böckle offe...

This book offers comprehensive information on the polymorphisms of genes encoding pattern recognition receptors (PRRs). Following a short description of the general role of PRRs in the immune system, the structure and function of Toll-like and NOD-like receptors are examined in detail. The main focus is on the role of inherited variation in PRRs and their correlation to cancer and cardiovascular diseases. A review of all epidemiological invest...

The conference Operator Theory, Analysis and Mathematical Physics – OTAMP is a regular biennial event devoted to mathematical problems on the border between analysis and mathematical physics. The current volume presents articles written by participants, mostly invited speakers, and is devoted to problems at the forefront of modern mathematical physics such as spectral properties of CMV matrices and inverse problems for the non-classical Schröd...

Harmonic maps between Riemannian manifolds were first established in 1964. Wave maps are harmonic maps on Minkowski spaces and have been studied since the 1990s. Yang-Mills fields, the critical points of Yang-Mills functionals of connections whose curvature tensors are harmonic, were explored by a few physicists in the 1950s, and biharmonic maps (generalizing harmonic maps) were introduced in 1986. The book presents an overview of the importan...