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This is a comprehensive survey on the research on the parabolic Anderson model – the heat equation with random potential or the random walk in random potential – of the years 1990 – 2015. The investigation of this model requires a combination of tools from probability (large deviations, extreme-value theory, e.g.) and analysis (spectral theory for the Laplace operator with potential, variational analysis, e.g.). We explain the background, the applications, the questions and the connections with other models and formulate the most relevant results on the long-time behavior of the solution, like quenched and annealed asymptotics for the total mass, intermittency, confinement and concentration properties and mass flow. Furthermore, we explain the most successful proof methods and give a list of open research problems. Proofs are not detailed, but concisely outlined and commented; the formulations of some theorems are slightly simplified for better comprehension.
Engineers represent the (industrial) modern age like no other profession. In the German Empire and the Weimar Republic, however, the enormous numerical expansion of the profession was contrasted by comparatively unfavorable working conditions and incomes. This was particularly true of the graduate engineers, whose academization failed to meet industrial requirements. Can the völkisch, right-wing political radicalization of many technical experts on the eve of the 'Third Reich' actually be fully explained by these professional-social frictions? Data on the professional-social situation, consumption, leisure time and political behaviour of engineers in the higher and academic professions, whi...
This editorial book presents twelve contributions from the German “Wirtschaftsinformatik” that exemplify the contemporary approach of theory-guided modeling and empiricism which complements existing approaches. It summarizes recent research which has been presented at major international and national conferences in order to demonstrate the growing importance of this stream of research.
This volume comprises selected, revised papers from the Joint CIM-WIAS Workshop, TAAO 2017, held in Lisbon, Portugal, in December 2017. The workshop brought together experts from research groups at the Weierstrass Institute in Berlin and mathematics centres in Portugal to present and discuss current scientific topics and to promote existing and future collaborations. The papers include the following topics: PDEs with applications to material sciences, thermodynamics and laser dynamics, scientific computing, nonlinear optimization and stochastic analysis.
New Profession, Old Order explores the creative tension between modern technology and preindustrial Germany. It offers an explanation of why the engineering profession is so successful in transforming the physical world, did not achieve the professional power, cohesion, and prestige that its technological accomplishments would seem to have warranted.
This book examines advanced scientific and technical education in seven European countries and the USA between the mid nineteenth century and the 1930s.It seeks to replace the notion of a simple education-industry interaction by a broader perspective where not only educational institutions and industrial employers, but also government, professional bodies and private patrons have made contributions.
One hopes, as a new generation of electric vehicles becomes a reality, The Electric Vehicle offers a long-overdue reassessment of the place of this technology in the history of street transportation.
Coronary artery bypass surgery in the elderly: Too often or too seldom? It is a testimony to scientific advances that raising a simple inquiry today, such as whether coronary artery bypass surgery is done too often or too seldom in elderlypatients, requiresanexplorationofwhatviewsonemightholdonseveral medical as well as non-medical issues. Unlike earlier years when doctors were clinically free to decide what should be done with a patient, health has become an expensive human right, decisions about which also involve the patient, the epidemiologist, the health policy administrator, politicians, the exchequer, and the philosopher. In its broadest definition health has come to mean the core of ...
This Third Edition is the first English-language edition of the award-winning Meilensteine der Rechentechnik; illustrated in full color throughout in two volumes. The Third Edition is devoted to both analog and digital computing devices, as well as the world's most magnificient historical automatons and select scientific instruments (employed in astronomy, surveying, time measurement, etc.). It also features detailed instructions for analog and digital mechanical calculating machines and instruments, and is the only such historical book with comprehensive technical glossaries of terms not found in print or in online dictionaries. The book also includes a very extensive bibliography based on ...
The 36th Sminaire de Probabilits contains an advanced course on Logarithmic Sobolev Inequalities by A. Guionnet and B. Zegarlinski, as well as two shorter surveys by L. Pastur and N. O'Connell on the theory of random matrices and their links with stochastic processes. The main themes of the other contributions are Logarithmic Sobolev Inequalities, Stochastic Calculus, Martingale Theory and Filtrations. Besides the traditional readership of the Sminaires, this volume will be useful to researchers in statistical mechanics and mathematical finance.