**PUBLICATIONS DERIVED FROM THE SEMESTERS**

**Lecture Notes in Mathematics Series - CIRM Jean Morlet Chair**

**Correlated Random Systems: Five Different Methods**

Editors: Véronique Gayrard • Nicola Kistler

First book in the CIRM Jean-Morlet Chair subseries, Spring 2013

This volume presents five different methods recently developed to tackle the large scale behavior of highly correlated random systems, such as spin glasses, random polymers, local times and loop soups and random matrices. These methods, presented in a series of lectures delivered within the Jean-Morlet Chair (Spring 2013), play a fundamental role in the current development of probability theory and statistical mechanics. The lectures were:
Random Polymers by E. Bolthausen, Spontaneous Replica Symmetry Breaking and Interpolation Methods by F. Guerra, Derrida's Random Energy Models by N. Kistler, Isomorphism Theorems by J. Rosen and Spectral Properties of Wigner Matrices by B. Schlein.It is targeted at researchers, in particular PhD students and postdocs, working in probability theory and statistical physics. |

**Lecture Notes in Mathematics Series - CIRM Jean Morlet Chair**

**Ergodic Theory and Negative Curvature**

Editor: Boris Hasselblatt

Second book in the CIRM Jean-Morlet Chair subseries, Fall 2013

Due to be published in September 2017 |
Focusing on the mathematics related to the recent proof of ergodicity of the (Weil–Petersson) geodesic flow on a nonpositively curved space whose points are negatively curved metrics on surfaces, this book provides a broad introduction to an important current area of research. It offers original textbook-level material suitable for introductory or advanced courses as well as deep insights into the state of the art of the field, making it useful as a reference and for self-study.
The first chapters introduce hyperbolic dynamics, ergodic theory and geodesic and horocycle flows, and include an English translation of Hadamard's original proof of the Stable-Manifold Theorem. An outline of the strategy, motivation and context behind the ergodicity proof is followed by a careful exposition of it (using the Hopf argument) and of the pertinent context of Teichmüller theory. Finally, some complementary lectures describe the deep connections between geodesic flows in negative curvature and Diophantine approximation. |

**AMS - Contemporary Mathematics**

**Frobenius Distributions: Lang-Trotter and Sato-Tate Conjectures**

Editors: David Kohel & Igor Shparlinski

Spring 2014

**Fourier Analysis and Applications**

**Geometric Space-Frequency Analysis on Manifolds**

Authors: Hans G. Feichtinger, Hartmut Führ, Isaac Z. Pesenson

Journal of Fourier Analysis and Applications - December 2016, Volume 22, Issue 6, pp 1294–1355