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Analysis, Complex Geometry, and Mathematical Physics
This volume contains the proceedings of the Conference on Analysis, Complex Geometry and Mathematical Physics: In Honor of Duong H. Phong, which was held from May 7-11, 2013, at Columbia University, New York. The conference featured thirty speakers who spoke on a range of topics reflecting the breadth and depth of the research interests of Duong H. Phong on the occasion of his sixtieth birthday. A common thread, familiar from Phong's own work, was the focus on the interplay between the deep tools of analysis and the rich structures of geometry and physics. Papers included in this volume cover topics such as the complex Monge-Ampère equation, pluripotential theory, geometric partial differential equations, theories of integral operators, integrable systems and perturbative superstring theory.
Probability in Complex Physical Systems
Probabilistic approaches have played a prominent role in the study of complex physical systems for more than thirty years. This volume collects twenty articles on various topics in this field, including self-interacting random walks and polymer models in random and non-random environments, branching processes, Parisi formulas and metastability in spin glasses, and hydrodynamic limits for gradient Gibbs models. The majority of these articles contain original results at the forefront of contemporary research; some of them include review aspects and summarize the state-of-the-art on topical issues – one focal point is the parabolic Anderson model, which is considered with various novel aspects including moving catalysts, acceleration and deceleration and fron propagation, for both time-dependent and time-independent potentials. The authors are among the world’s leading experts. This Festschrift honours two eminent researchers, Erwin Bolthausen and Jürgen Gärtner, whose scientific work has profoundly influenced the field and all of the present contributions.
Sojourns in Probability Theory and Statistical Physics - III
Charles M. (Chuck) Newman has been a leader in Probability Theory and Statistical Physics for nearly half a century. This three-volume set is a celebration of the far-reaching scientific impact of his work. It consists of articles by Chuck’s collaborators and colleagues across a number of the fields to which he has made contributions of fundamental significance. This publication was conceived during a conference in 2016 at NYU Shanghai that coincided with Chuck's 70th birthday. The sub-titles of the three volumes are: I. Spin Glasses and Statistical Mechanics II. Brownian Web and Percolation III. Interacting Particle Systems and Random Walks The articles in these volumes, which cover a wide spectrum of topics, will be especially useful for graduate students and researchers who seek initiation and inspiration in Probability Theory and Statistical Physics.
Probability and Analysis in Interacting Physical Systems
This Festschrift on the occasion of the 75th birthday of S.R.S. Varadhan, one of the most influential researchers in probability of the last fifty years, grew out of a workshop held at the Technical University of Berlin, 15–19 August, 2016. This volume contains ten research articles authored by several of Varadhan's former PhD students or close collaborators. The topics of the contributions are more or less closely linked with some of Varadhan's deepest interests over the decades: large deviations, Markov processes, interacting particle systems, motions in random media and homogenization, reaction-diffusion equations, and directed last-passage percolation. The articles present original research on some of the most discussed current questions at the boundary between analysis and probability, with an impact on understanding phenomena in physics. This collection will be of great value to researchers with an interest in models of probability-based statistical mechanics.
Topics in Occupation Times and Gaussian Free Fields
This book grew out of a graduate course at ETH Zurich during the spring 2011 term. It explores various links between such notions as occupation times of Markov chains, Gaussian free fields, Poisson point processes of Markovian loops, and random interlacements, which have been the object of intensive research over the last few years. These notions are developed in the convenient setup of finite weighted graphs endowed with killing measures. This book first discusses elements of continuous-time Markov chains, Dirichlet forms, potential theory, together with some consequences for Gaussian free fields. Next, isomorphism theorems and generalized Ray-Knight theorems, which relate occupation times of Markov chains to Gaussian free fields, are presented. Markovian loops are constructed and some of their key properties derived. The field of occupation times of Poisson point processes of Markovian loops is investigated. Of special interest are its connection to the Gaussian free field, and a formula of Symanzik. Finally, links between random interlacements and Markovian loops are discussed, and some further connections with Gaussian free fields are mentioned.
Topics in Percolative and Disordered Systems
This volume features selected and peer-reviewed articles from the Pan-American Advanced Studies Institute (PASI). The chapters are written by international specialists who participated in the conference. Topics include developments based on breakthroughs in the mathematical understanding of phenomena describing systems in highly inhomogeneous and disordered media, including the KPZ universality class (describing the evolution of interfaces in two dimensions), random walks in random environment and percolative systems. PASI fosters a collaboration between North American and Latin American researchers and students. The conference that inspired this volume took place in January 2012 in both Santiago de Chile and Buenos Aires. Researchers and graduate students will find timely research in probability theory, statistical physics and related disciplines.
Two-Dimensional Random Walk
A visual, intuitive introduction in the form of a tour with side-quests, using direct probabilistic insight rather than technical tools.
Mein Wunsch ist dein Tod
Eines Tages zu sterben, liegt in der Natur des Menschen, niemand kann sich dem entziehen, so ist das Leben. Es endet stets mit dem Tod. Doch was ist mit dem viel zu frühen Tod der Opfer aus Gewaltverbrechen, der Opfer aus Kriegen? Ihren Tod sollte man, wenn man ihn schon nicht verhindern konnte, wenigstens aufklären und die Schuldigen, die Verantwortlichen einer gerechten Strafe zuführen. Einige glauben, mit Selbstjustiz ein Verbrechen sühnen zu können, geradezu das Recht dafür auf ihrer Seite sehen. Aber ist das wirklich so? Begeht derjenige nicht ebenfalls ein Verbrechen, gar einen Mord? In den in dieser Anthologie enthaltenen Romanen stellen sich die Autoren genau diese Frage und jeder beantwortet sie auf seine, ganz eigene Art: durch klassische Ermittlungen, durch Selbstjustiz und sogar mit einem geplanten Attentat ... In dieser Anthologie sind folgende Romane enthalten: Die Toten Männer von Ohlsdorf – von Hans-Jürgen Raben; Schreie aus seinem Mund – von Rainer Popp; Fast ein Attentat – von Rolf Stolz
Die toten Männer von Ohlsdorf – Ein Fall für Brock: Ein Hamburg-Krimi
Auf dem Ohlsdorfer Friedhof wird die Leiche eines Mannes auf dem Grab eines vor Jahren vergewaltigten Mädchens gefunden, das an den Folgen der Misshandlungen wenig später starb. Die Untersuchung des Toten bringen erschreckende Ergebnisse zutage und stellen die Mordkommission unter Leitung von Hauptkommissar Cornelius Brock vor eine schwierige Aufgabe. Doch dann wird Brock ein dicker Umschlag, der ein grausames Geheimnis in sich birgt, eines in einem Pflegeheim kürzlich Verstorbenen überreicht. Wenig später wird eine weitere Männerleiche auf dem Grab eines anderen Mädchens gefunden, das ebenfalls Opfer einer Vergewaltigung wurde ...
In Hamburg ermordet: Drei Hamburg-Krimis
Sie töten in Hamburg aus einer Laune heraus, aus Habgier, um andere Straftaten zu verschleiern, um ihren Trieb zu befriedigen ... Doch das Schlimmste für die Hinterbliebenen ist die Angst, dass jeder, wirklich jeder, der ihnen auf der Straße begegnet, mit dem sie gerade ein nettes Gespräch führen oder der an der Supermarktkasse hinter ihnen steht, der Mörder sein könnte und sich in diesem Moment sein nächstes Opfer ausgesucht hat ... In diesem Band sind folgende Romane enthalten: › Die toten Männer von Ohlsdorf - von Hans-Jürgen Raben › Aus dem Weg geräumt - von Horst Bieber › Die Tote im Hafenbecken - von Wolfgang Menge
