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The book contains articles from leading experts in different areas of biological physics. Topics ranging from cell dynamics to the evolution of multicellularity to conscious versus non-conscious evidence accumulation are reviewed and discussed, both from a theoretical and an experimental perspective. Furthermore, current developments of practical applications like magnetic tweezers for the study of DNA replication and brain imaging are presented.

on constant tectonic loading are as good as or better Other geophysical measurements may also bere- than time-varying earthquake likelihood models ted to earthquake occurrence, and such relationships determinedfrom the evolving stress ?eld. are examinedin some of the papers herein. ITABA et al. One approach to understanding earthquakes isto compare groundwater and crustal deformation to create synthetic earthquake catalogues using certain seismicity recorded on newly installed stations to test assumptions regarding the physics of the process to previouslyobserved preseismicchanges inShikoku see what features of real catalogues can be explained and theKii Peninsula prior to earthquakes in Tonankai by variations in physical properties. SMITH and and Nankai, Japan. They ?nd strainchanges due to DIETERICH takethis approach and model aftershock slow slip events on the plate boundary, but do not ?nd sequences using 3-D stress heterogeneity in the form signi?cant changes in groundwater at that time. of Coulomb static stress change analysisand rate- We conclude the volume with another comparison state seismicity equations calculatedin regions of of seismicity and GPS.OGATA compares anomalies of geometrically complex faults. Their syntheticmodels seismic activity with transient crustaldeformations match severalfeatures of real catalogues such as preceding the 2005 M 7.0 earthquake west of - earthquakeclustering and Omoridecay,and the kuoka, Japan, concluding that aseismicsliptriggered presence of earthquakes in regions where simpler changes in seismicity rates as well as in GPS record- Coulomb stress modelling predicts "stress shadows" ings during the ten years leading up to the earthquake.

Dieses Buch führt Studierende der Mathematik, Informatik und Physik in die wichtigsten Konzepte der Statistik ein. Es setzt Grundkenntnisse in Wahrscheinlichkeitsrechnung voraus. Manche Hilfsmittel und weiterführende Überlegungen finden sich in einem Anhang. Das einführende Kapitel bietet einen anschaulichen Einstieg, in dem es konkrete Beispiele für statistische Auswertungen diskutiert und die wichtigsten Arten statistischer Verfahren bereits kurz vorstellt. Die weiteren Kapitel befassen sich mit der Auswertung eines kategoriellen bzw. numerischen Merkmals sowie mit der simultanen Auswertung zweier Merkmale.

The rapid development of set theory in the last fifty years, mainly by obtaining plenty of independence results, strongly influenced an understanding of the structure of the real line. This book is devoted to the study of the real line and its subsets taking into account the recent results of set theory. Whenever possible the presentation is done without the full axiom of choice. Since the book is intended to be self-contained, all necessary results of set theory, topology, measure theory, and descriptive set theory are revisited with the purpose of eliminating superfluous use of an axiom of choice. The duality of measure and category is studied in a detailed manner. Several statements pertaining to properties of the real line are shown to be undecidable in set theory. The metamathematics behind set theory is shortly explained in the appendix. Each section contains a series of exercises with additional results.

Since the publication of the first edition of this seminar book in 1994, the theory and applications of extremes and rare events have enjoyed an enormous and still increasing interest. The intention of the book is to give a mathematically oriented development of the theory of rare events underlying various applications. This characteristic of the book was strengthened in the second edition by incorporating various new results. In this third edition, the dramatic change of focus of extreme value theory has been taken into account: from concentrating on maxima of observations it has shifted to large observations, defined as exceedances over high thresholds. One emphasis of the present third edition lies on multivariate generalized Pareto distributions, their representations, properties such as their peaks-over-threshold stability, simulation, testing and estimation.Reviews of the 2nd edition:"In brief, it is clear that this will surely be a valuable resource for anyone involved in, or seeking to master, the more mathematical features of this field."David Stirzaker, Bulletin of the London Mathematical Society"Laws of Small Numbers can be highly recommended to everyone who is looking for a smooth introduction to Poisson approximations in EVT and other fields of probability theory and statistics. In particular, it offers an interesting view on multivariate EVT and on EVT for non-iid observations, which is not presented in a similar way in any other textbook."Holger Drees, Metrika

The goal of the book is to present, in a complete and comprehensive way, areas of current research interlacing around the Poncelet porism: dynamics of integrable billiards, algebraic geometry of hyperelliptic Jacobians, and classical projective geometry of pencils of quadrics. The most important results and ideas, classical as well as modern, connected to the Poncelet theorem are presented, together with a historical overview analyzing the classical ideas and their natural generalizations. Special attention is paid to the realization of the Griffiths and Harris programme about Poncelet-type problems and addition theorems. This programme, formulated three decades ago, is aimed to understanding the higher-dimensional analogues of Poncelet problems and the realization of the synthetic approach of higher genus addition theorems.

This book started with Lattice Theory, First Concepts, in 1971. Then came General Lattice Theory, First Edition, in 1978, and the Second Edition twenty years later. Since the publication of the first edition in 1978, General Lattice Theory has become the authoritative introduction to lattice theory for graduate students and the standard reference for researchers. The First Edition set out to introduce and survey lattice theory. Some 12,000 papers have been published in the field since then; so Lattice Theory: Foundation focuses on introducing the field, laying the foundation for special topics and applications. Lattice Theory: Foundation, based on the previous three books, covers the fundamental concepts and results. The main topics are distributivity, congruences, constructions, modularity and semimodularity, varieties, and free products. The chapter on constructions is new, all the other chapters are revised and expanded versions from the earlier volumes. Almost 40 “diamond sections’’, many written by leading specialists in these fields, provide a brief glimpse into special topics beyond the basics. “Lattice theory has come a long way... For those who appreciate lattice theory, or who are curious about its techniques and intriguing internal problems, Professor Grätzer's lucid new book provides a most valuable guide to many recent developments. Even a cursory reading should provide those few who may still believe that lattice theory is superficial or naive, with convincing evidence of its technical depth and sophistication.” Bulletin of the American Mathematical Society “Grätzer’s book General Lattice Theory has become the lattice theorist’s bible.” Mathematical Reviews

This volume contains refereed research or review papers presented at the 6th Seminar on Stochastic Processes, Random Fields and Applications, which took place at the Centro Stefano Franscini (Monte Verità) in Ascona, Switzerland, in May 2008. The seminar focused mainly on stochastic partial differential equations, especially large deviations and control problems, on infinite dimensional analysis, particle systems and financial engineering, especially energy markets and climate models. The book will be a valuable resource for researchers in stochastic analysis and professionals interested in stochastic methods in finance.

This volume collects six articles on selected topics at the frontier between partial differential equations and spectral theory, written by leading specialists in their respective field. The articles focus on topics that are in the center of attention of current research, with original contributions from the authors.

Increasing size and complexity of software and hardware systems makes it harder to ensure their reliability. At the same time, the issues of autonomous computing become more critical as we more and more rely on software systems in our daily life. Such complexity is getting even more critical with the ubiquitous computing of embedded devices and other pervasive systems. These trends ask for techniques and tools for developing reliable and autonomous software which can support software engineers in their efforts. This book summarizes the state of the art of research in the diverse fields concerned, including novel designs, case studies and experimental as well as theoretical results.

n This book deals with several aspects of fractal geometry in ? which are closely connected with Fourier analysis, function spaces, and appropriate (pseudo)differ- tial operators. It emerged quite recently that some modern techniques in the theory of function spaces are intimately related to methods in fractal geometry. Special attention is paid to spectral properties of fractal (pseudo)differential operators; in particular we shall play the drum with a fractal layer. In some sense this book may be considered as the fractal twin of [ET96], where we developed adequate methods to handle spectral problems of degenerate n pseudodifferential operators in ? and in bounded domains. Besides a few special properties of function spaces we relied there on sharp estimates of entropy numbers of compact embeddings between these spaces and their relations to the distribution of eigenvalues. Some of the main assertions of the present book are based on just these techniques but now in a fractal setting. Since virtually nothing of these new methods is available in literature, a substantial part of what we have to say deals with recent developments in the theory of function spaces, also for their own sake. In this respect the book might also be considered as a continuation of [Tri83] and [Tri92].

This volume contains solicited articles by speakers at the workshop ranging from expository surveys to original research papers, each of which carefully refereed. They all bear witness to the very rich mathematics that is connected with the study of elementary operators, may it be multivariable spectral theory, the invariant subspace problem or tensor products of C*-algebras.

This book provides a fresh but physically sound approach to Advanced Seismic Hazard Assessment. It aims to bring together modern interdisciplinary research and end-users, who have to cope with the problems of the earthquake risk management.

One of the most challenging problems of contemporary theoretical physics is the mathematically rigorous construction of a theory which describes gravitation and the other fundamental physical interactions within a common framework. The physical ideas which grew from attempts to develop such a theory require highly advanced mathematical methods and radically new physical concepts. This book presents different approaches to a rigorous unified description of quantum fields and gravity. It contains a carefully selected cross-section of lively discussions which took place in autumn 2010 at the fifth conference "Quantum field theory and gravity - Conceptual and mathematical advances in the search for a unified framework" in Regensburg, Germany. In the tradition of the other proceedings covering this series of conferences, a special feature of this book is the exposition of a wide variety of approaches, with the intention to facilitate a comparison. The book is mainly addressed to mathematicians and physicists who are interested in fundamental questions of mathematical physics. It allows the reader to obtain a broad and up-to-date overview of a fascinating active research area.

This book is about a side of Isaac Newton’s character that has not been examined – Isaac Newton as architect as demonstrated by his reconstruction of Solomon’s Temple. Although it is well known that Isaac Newton worked on the Temple, and this is mentioned in most of his biographies and in articles on the religious aspects of this work, however, there is no research on Newton’s architectural work. This book not only recreates Newton’s reconstruction of the Temple but it also considers how his work on the Temple interlinks with his other interests of science, chronology, prophecy and theology. In addition the book contains the first translation of Introduction to the Lexicon of the Prophets, Part two: About the appearance of the Jewish Temple commonly known by its call name Babson 0434. This work will appeal not only to scholars of science and architectural history but also to scholars of the seventeenth and eighteenth centuries’ history of ideas.

This volume consists of eighteen peer-reviewed papers related to lectures on pseudo-differential operators presented at the meeting of the ISAAC Group in Pseudo-Differential Operators (IGPDO) held at Imperial College London on July 13-18, 2009. Featured in this volume are the analysis, applications and computations of pseudo-differential operators in mathematics, physics and signal analysis. This volume is a useful complement to the volumes “Advances in Pseudo-Differential Operators”, “Pseudo-Differential Operators and Related Topics”, “Modern Trends in Pseudo-Differential Operators”, “New Developments in Pseudo-Differential Operators” and “Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations” published in the same series in, respectively, 2004, 2006, 2007, 2009 and 2010.

This book is an introduction to two higher-categorical topics in algebraic topology and algebraic geometry relying on simplicial methods. It is based on lectures - livered at the Centre de Recerca Matem ati ca in February 2008, as part of a special year on Homotopy Theory and Higher Categories. Ieke Moerdijk's lectures constitute an introduction to the theory ofdendroidal sets, an extension of the theory of simplicial sets designed as a foundation for the homotopy theory of operads. The theory has many features analogous to the theory of simplicial sets, but it also reveals many new phenomena, thanks to the presence of automorphisms of trees. Dendroidal sets admit a closed symmetric monoidal structure related to the Boardman{Vogt tensor product. The lecture notes develop the theory very carefully, starting from scratch with the combinatorics of trees, and culminating with a model structure on the category of dendroidal sets for which the brant objects are the inner Kan dendroidal sets. The important concepts are illustrated with detailed examples.

This book covers Lebesgue integration and its generalizations from Daniell's point of view, modified by the use of seminorms. Integrating functions rather than measuring sets is posited as the main purpose of measure theory. From this point of view Lebesgue's integral can be had as a rather straightforward, even simplistic, extension of Riemann's integral; and its aims, definitions, and procedures can be motivated at an elementary level. The notion of measurability, for example, is suggested by Littlewood's observations rather than being conveyed authoritatively through definitions of (sigma)-algebras and good-cut-conditions, the latter of which are hard to justify and thus appear mysterious, even nettlesome, to the beginner. The approach taken provides the additional benefit of cutting the labor in half. The use of seminorms, ubiquitous in modern analysis, speeds things up even further. The book is intended for the reader who has some experience with proofs, a beginning graduate student for example. It might even be useful to the advanced mathematician who is confronted with situations - such as stochastic integration - where the set-measuring approach to integration does not work.

Der Bundesweite Überwachungsplan (BÜp) ist ein für ein Jahr festgelegter Plan über die zwischen den Bundesländern abgestimmte Durchführung von amtlichen Kontrollen zur Überprüfung der Einhaltung der lebensmittelrechtlichen, weinrechtlichen und tabakrechtlichen Vorschriften. Er ist ein risikoorientiertes Überwachungsprogramm. Im Rahmen des BÜp können Lebensmittel, Kosmetika und Bedarfsgegenstände untersucht werden. Ziel des BÜp ist es, bundesweite Aussagen über die Einhaltung lebensmittelrechtlicher, weinrechtlicher und tabakrechtlicher Vorschriften einschließlich Täuschungsschutz zu erhalten. Je 1000 Einwohner und Jahr muss eine bestimmte Zahl Produktproben genommen werden. Ein Teil dieser Gesamtprobenzahl wird bundesweit einheitlich im Rahmen des Bundesweiten Überwachungsplans (BÜp) und anderer koordinierter Programme untersucht.

§1. Historical Remarks Convex Integration theory, ?rst introduced by M. Gromov [17], is one of three general methods in immersion-theoretic topology for solving a broad range of problems in geometry and topology. The other methods are: (i) Removal of Singularities, introduced by M. Gromov and Y. Eliashberg [8]; (ii) the covering homotopy method which, following M. Gromov’s thesis [16], is also referred to as the method of sheaves. The covering homotopy method is due originally to S. Smale [36] who proved a crucial covering homotopy result in order to solve the classi?cation problem for immersions of spheres in Euclidean space. These general methods are not linearly related in the sense that succ- sive methods subsumed the previous methods. Each method has its own distinct foundation, based on an independent geometrical or analytical insight. Con- quently, each method has a range of applications to problems in topology that are best suited to its particular insight. For example, a distinguishing feature of ConvexIntegrationtheoryisthatitappliestosolveclosed relationsinjetspaces, including certain general classes of underdetermined non-linear systems of par- 1 tial di?erential equations. As a case of interest, the Nash-Kuiper C -isometric immersion theorem can be reformulated and proved using Convex Integration theory (cf. Gromov [18]). No such results on closed relations in jet spaces can be proved by means of the other two methods. On the other hand, many classical results in immersion-theoretic topology, such as the classi?cation of immersions, are provable by all three methods.

This book gives an exposition of the fundamentals of the theory of linear representations of ?nite and compact groups, as well as elements of the t- ory of linear representations of Lie groups. As an application we derive the Laplace spherical functions. The book is based on lectures that I delivered in the framework of the experimental program at the Mathematics-Mechanics Faculty of Moscow State University and at the Faculty of Professional Skill Improvement. My aim has been to give as simple and detailed an account as possible of the problems considered. The book therefore makes no claim to completeness. Also, it can in no way give a representative picture of the modern state of the ?eld under study as does, for example, the monograph of A. A. Kirillov [3]. For a more complete acquaintance with the theory of representations of ?nite groups we recommend the book of C. W. Curtis and I. Reiner [2], and for the theory of representations of Lie groups, that of M. A. Naimark [6]. Introduction The theory of linear representations of groups is one of the most widely - pliedbranchesof algebra. Practically every timethatgroupsareencountered, their linear representations play an important role. In the theory of groups itself, linear representations are an irreplaceable source of examples and a tool for investigating groups. In the introduction we discuss some examples and en route we introduce a number of notions of representation theory. 0. Basic Notions 0. 1.

A generalized etale cohomology theory is a theory which is represented by a presheaf of spectra on an etale site for an algebraic variety, in analogy with the way an ordinary spectrum represents a cohomology theory for spaces. Examples include etale cohomology and etale K-theory. This book gives new and complete proofs of both Thomason's descent theorem for Bott periodic K-theory and the Nisnevich descent theorem. In doing so, it exposes most of the major ideas of the homotopy theory of presheaves of spectra, and generalized etale homology theories in particular. The treatment includes, for the purpose of adequately dealing with cup product structures, a development of stable homotopy theory for n-fold spectra, which is then promoted to the level of presheaves of n-fold spectra.  This book should be of interest to all researchers working in fields related to algebraic K-theory. The techniques presented here are essentially combinatorial, and hence algebraic. An extensive background in traditional stable homotopy theory is not assumed. ------  Reviews (…) in developing the techniques of the subject, introduces the reader to the stable homotopy category of simplicial presheaves. (…) This book provides the user with the first complete account which is sensitive enough to be compatible with the sort of closed model category necessary in K-theory applications (…). As an application of the techniques the author gives proofs of the descent theorems of R. W. Thomason and Y. A. Nisnevich. (…) The book concludes with a discussion of the Lichtenbaum-Quillen conjecture (an approximation to Thomason’s theorem without Bott periodicity). The recent proof of this conjecture, by V. Voevodsky, (…) makes this volume compulsory reading for all who want to be aufait with current trends in algebraic K-theory!- Zentralblatt MATH The presentation of these topics is highly original. The book will be very useful for any researcher interested in subjects related to algebraic K-theory.- Matematica

The volume contains contributions from authors from a large variety of countries on different aspects of 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.

This book provides a systematic development of the Rubio de Francia theory of extrapolation, its many generalizations and its applications to one and two-weight norm inequalities. The book is based upon a new and elementary proof of the classical extrapolation theorem that fully develops the power of the Rubio de Francia iteration algorithm. This technique allows us to give a unified presentation of the theory and to give important generalizations to Banach function spaces and to two-weight inequalities. We provide many applications to the classical operators of harmonic analysis to illustrate our approach, giving new and simpler proofs of known results and proving new theorems. The book is intended for advanced graduate students and researchers in the area of weighted norm inequalities, as well as for mathematicians who want to apply extrapolation to other areas such as partial differential equations.

The volume originates from the 'Conference on Nonlinear Parabolic Problems' held in celebration of Herbert Amann's 70th birthday at the Banach Center in Bedlewo, Poland. It features a collection of peer-reviewed research papers by recognized experts highlighting recent advances in fields of Herbert Amann's interest such as nonlinear evolution equations, fluid dynamics, quasi-linear parabolic equations and systems, functional analysis, and more.

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 have contributed articles to this volume. These articles are also highly pedagogical, as befits their origin in lectures to a broad scientific audience.  Highlights include a Galilean dialogue on the mean field and competing theories of the glass transition, a wide-ranging survey of colloidal glasses, and experimental as well as theoretical treatments of the relatively new field of dense granular flows. This book should be of broad general interest to both physicists and mathematicians.

This monograph gives a systematic account of the theory of vector-valued Laplace transforms, ranging from representation theory to Tauberian theorems. In parallel, the theory of linear Cauchy problems and semigroups of operators is developed completely in the spirit of Laplace transforms. Existence and uniqueness, regularity, approximation and above all asymptotic behaviour of solutions are studied. Diverse applications to partial differential equations are given. The book contains an introduction to the Bochner integral and several appendices on background material. It is addressed to students and researchers interested in evolution equations, Laplace and Fourier transforms, and functional analysis. The second edition contains detailed notes on the developments in the last decade. They include, for instance, a new characterization of well-posedness of abstract wave equations in Hilbert space due to M. Crouzeix. Moreover new quantitative results on asymptotic behaviour of Laplace transforms have been added. The references are updated and some errors have been corrected.

In der Bundesrepublik Deutschland überwachen die Behörden der Länder die Einhaltung der Vorschriften, die für das Inverkehrbringen und die Anwendung von Pflanzenschutzmitteln gelten.Das Pflanzenschutz-Kontrollprogramm ist ein bundesweit harmonisiertes Programm zur Überwachung pflanzenschutzrechtlicher Vorschriften. Die Durchführung und Berichterstattung der Kontrollen erfolgten nach gemeinsamen Standards der Länder auf Grundlage eines abgestimmten Handbuches. Die Festlegung von Kontrolltatbeständen und die Betriebsauswahl erfolgt durch die Länder; zusätzlich werden bundesweite Kontrollschwerpunkte festgelegt. Der vorliegende Bericht fasst die Ergebnisse des Jahres 2009 zusammen.Bundesweit wurden in 2.727 Handelsbetrieben Verkehrskontrollen durchgeführt und in 5.145 Betrieben der Landwirtschaft, des Gartenbaus und der Forstwirtschaft Betriebs- oder Anwendungskontrollen vorgenommen. Im Rahmen der Überwachung der Verordnung über Pflanzenschutzmittel und Pflanzenschutzgeräte (Pflanzenschutzmittelverordnung) wurden des Weiteren Pflanzenschutzgeräte von amtlichen bzw. amtlich anerkannten Kontrollstellen überprüft. Die Zusammensetzung und physikalische, chemische und technische Eigenschaften von 163 Pflanzenschutzmitteln wurden untersucht.

Issues pertaining to urban risks are a pressing concern for those involved in disasters mitigation. Development of effective mitigation strategies requires sound seismic hazard information that is commonly derived through a seismic hazard assessment (SHA). The purpose of SHA is to provide a scientifically consistent estimate of seismic hazard for engineering design and other considerations. The time is ripe to move beyond the old paradigms of the traditional Probabilistic Seismic Hazard Analysis (PSHA). This two-part volume advocates advanced methods for SHA that utilize up to date earthquake science and basic scientific principles to derive the seismic hazard in terms of a ground motion or related quantity and its occurrence frequency at a site, as well as the associated uncertainty. It aims to: (1) identify the issues in the current SHAs, (2) facilitate the development of a scientifically consistent approach for SHA and (3) disseminate, both in scientific and in engineeringpractice societies, advanced reliable tools for independent hazard estimates, like NDSHA (neo-deterministic SHA), which incorporates physically based ground motion models. It provides a fresh approach to seismic hazard analysis. Part 2 provides advanced SHA case studies, concerning regional national and metropolitan estimates for different parts of the world, including Asia, Europe, North and South America. It is addressed to seismologists, engineers and stake-holders, and aims to contribute to bridging between modern interdisciplinary research and practitioners.