PUBLICATIONS

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
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