Random Matrices are one of the major research areas in modern probability theory, due to their prominence in many different fields such as nuclear physics, statistics, telecommunication, free probability, non-commutative geometry, and dynamical systems. A great deal of recent work has focused on the study of spectra of large random matrices on the one hand and on iterated random functions, especially random difference equations, on the other. However, the methods applied in these two research areas are fairly dissimilar. Motivated by the idea that tools from one area could potentially also be helpful in the other, the volume editors have selected contributions that present results and methods from random matrix theory as well as from the theory of iterated random functions. This work resulted from a workshop that was held in Munster, Germany in 2011. The aim of the workshop was to bring together researchers from two fields of probability theory: random matrix theory and the theory of iterated random functions. Random matrices play fundamental, yet very different roles in the two fields. Accordingly, leading figures and young researchers gave talks on their field of interest that were also accessible to a broad audience.

Limit theorems and asymptotic results form a central topic in probability theory and mathematical statistics. New and non-classical limit theorems have been discovered for processes in random environments, especially in connection with random matrix theory and free probability. These questions and the techniques for answering them combine asymptotic enumerative combinatorics, particle systems and approximation theory, and are important for new approaches in geometric and metric number theory as well. Thus, the contributions in this book include a wide range of applications with surprising connections ranging from longest common subsequences for words, permutation groups, random matrices and free probability to entropy problems and metric number theory. The book is the product of a conference that took place in August 2011 in Bielefeld, Germany to celebrate the 60th birthday of Friedrich Goetze, a noted expert in this field.

Random Matrices are one of the major research areas in modern probability theory, due to their prominence in many different fields such as nuclear physics, statistics, telecommunication, free probability, non-commutative geometry, and dynamical systems. A great deal of recent work has focused on the study of spectra of large random matrices on the one hand and on iterated random functions, especially random difference equations, on the other. However, the methods applied in these two research areas are fairly dissimilar. Motivated by the idea that tools from one area could potentially also be helpful in the other, the volume editors have selected contributions that present results and methods from random matrix theory as well as from the theory of iterated random functions. This work resulted from a workshop that was held in Munster, Germany in 2011. The aim of the workshop was to bring together researchers from two fields of probability theory: random matrix theory and the theory of iterated random functions. Random matrices play fundamental, yet very different roles in the two fields. Accordingly, leading figures and young researchers gave talks on their field of interest that were also accessible to a broad audience.

Limit theorems and asymptotic results form a central topic in probability theory and mathematical statistics. New and non-classical limit theorems have been discovered for processes in random environments, especially in connection with random matrix theory and free probability. These questions and the techniques for answering them combine asymptotic enumerative combinatorics, particle systems and approximation theory, and are important for new approaches in geometric and metric number theory as well. Thus, the contributions in this book include a wide range of applications with surprising connections ranging from longest common subsequences for words, permutation groups, random matrices and free probability to entropy problems and metric number theory.

The book is the product of a conference that took place in August 2011 in Bielefeld, Germany to celebrate the 60th birthday of Friedrich Gotze, a noted expert in this field."

Anhand von spannenden Geschichten und kuriosen Beispielen fuhrt dieses Buch in die faszinierende Welt der Mathematik ein. Die Autorinnen verbinden fundamentale Ideen mit Aktivitaten fur Jung bis Alt und leiten den Leser zu einem spielerischen Verstandnis von Themen wie Zahlentheorie, Symmetriegruppen, Kryptographie und Graphentheorie. Aus dem Niederlandischen ubersetzt und basierend auf der beliebten Webseite der Mathemadels, bietet diese Sammlung von Blogartikeln einen verstandlichen Zugang zu mathematischen Gebieten, die im Schulunterricht haufig zu kurz kommen. Durch zahlreiche Empfehlungen von weiterfuhrender Literatur und Webseiten werden Schuler, Eltern, Lehrer und andere Mathefreunde lange an diesem Buch Freude haben.

When anthropology and aesthetics struck up a close alliance during the late Enlightenment, this threw literary utopias into a deep crisis. Tracts about societies composed of autonomously reasoning individuals clashed with an image of human nature that emphasized the power of the conditioned body. Especially on account of their dubious reputation, utopias give us the chance to reflect upon anthropology as an explosive new form of knowledge. This study examines how thinkers of the Enlightenment and Romanticism used the utopian genre to respond to the ethical and political problems resulting from the rehabilitation of sensualism ."