PUBLICATIONS

Co-edition SMF-Springer
Lecture Notes in Mathematics Series - CIRM Jean Morlet Chair
Correlated Random Systems: Five Different Methods
Editors: Véronique Gayrard • Nicola Kistler
CIRM Jean-Morlet Chair subseries, based on the Spring 2013 semester
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.
Co-edition SMF-Springer
Lecture Notes in Mathematics Series - CIRM Jean Morlet Chair
Ergodic Theory and Negative Curvature
Editor: Boris Hasselblatt
CIRM Jean-Morlet Chair subseries, based on the Fall 2013 semester
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
Based on the Spring 2014 semester
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
Based on the Fall 2014 semester
Co-edition SMF-Springer
Lecture Notes in Mathematics Series - CIRM Jean Morlet Chair
Relative Aspects in Representation Theory, Langland Functoriality and Automorphic Forms
Editors: Volker Heiermann, Dipendra Prasad
CIRM Jean-Morlet Chair subseries, Based on the Spring 2016 semester
This volume presents a panorama of the diverse activities organized by V. Heiermann and D. Prasad in Marseille at CIRM for the Chaire Morlet event during the first semester of 2016. It assembles together expository articles on topics which previously could only be found in research papers.
Starting with a very detailed article by P. Baumann and S. Riche on the geometric Satake correspondence, the book continues with three introductory articles on distinguished representations due to P. Broussous, F. Murnaghan, and O. Offen; an expository article of I. Badulescu on the Jacquet–Langlands correspondence; a paper of J. Arthur on functoriality and the trace formula in the context of "Beyond Endoscopy", taken from the Simons Proceedings; an article of W-W. Li attempting to generalize Godement–Jacquet theory; and a research paper of C. Moeglin and D. Renard, applying the trace formula to the local Langlands classification for classical groups.
The book should be of interest to students as well as professional researchers working in the broad area of number theory and representation theory.
Co-edition SMF-Springer
Lecture Notes in Mathematics Series - CIRM Jean Morlet Chair
Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics
Editors: Sébastien Ferenczi, Joanna Kulaga-Przymus, Mariusz Lemanczyk
CIRM Jean-Morlet Chair subseries, Based on the Fall 2016 semester
This book concentrates on the modern theory of dynamical systems and its interactions with number theory and combinatorics. The greater part begins with a course in analytic number theory and focuses on its links with ergodic theory, presenting an exhaustive account of recent research on Sarnak's conjecture on Möbius disjointness. Selected topics involving more traditional connections between number theory and dynamics are also presented, including equidistribution, homogenous dynamics, and Lagrange and Markov spectra. In addition, some dynamical and number theoretical aspects of aperiodic order, some algebraic systems, and a recent development concerning tame systems are described.
Co-edition SMF-Springer
Lecture Notes in Mathematics Series - CIRM Jean Morlet Chair
Case Studies in Applied Bayesian Data Science
Editors: Kerrie Mengersen, Pierre Pudlo
CIRM Jean-Morlet Chair subseries, Based on the Fall 2018 semester
Presenting a range of substantive applied problems within Bayesian Statistics along with their Bayesian solutions, this book arises from a research program at CIRM in France in the second semester of 2018, which supported Kerrie Mengersen as a visiting Jean-Morlet Chair and Pierre Pudlo as the local Research Professor.
The field of Bayesian statistics has exploded over the past thirty years and is now an established field of research in mathematical statistics and computer science, a key component of data science, and an underpinning methodology in many domains of science, business and social science. Moreover, while remaining naturally entwined, the three arms of Bayesian statistics, namely modelling, computation and inference, have grown into independent research fields. While the research arms of Bayesian statistics continue to grow in many directions, they are harnessed when attention turns to solving substantive applied problems. Each such problem set has its own challenges and hence draws from the suite of research a bespoke solution.
The book will be useful for both theoretical and applied statisticians, as well as practitioners, to inspect these solutions in the context of the problems, in order to draw further understanding, awareness and inspiration. 
Springer
Lecture Notes in Mathematics Series - CIRM Jean Morlet Chair
Substitution and Tiling Dynamics: Introduction to Self-inducing Strutures
Editors: Shigeki Akiyama, Pierre Arnoux
CIRM Jean-Morlet Chair subseries, Based on the Fall 2017 semester
​This book presents a panorama of recent developments in the theory of tilings and related dynamical systems. It contains an expanded version of courses given in 2017 at the research school associated with the Jean-Morlet chair program.
Tilings have been designed, used and studied for centuries in various contexts. This field grew significantly after the discovery of aperiodic self-similar tilings in the 60s, linked to the proof of the undecidability of the Domino problem, and was driven futher by Dan Shechtman's discovery of quasicrystals in 1984. Tiling problems establish a bridge between  the mutually influential fields of geometry, dynamical systems, aperiodic order, computer science, number theory, algebra and logic. The main properties of tiling dynamical systems are covered, with expositions  on  recent results in self-similarity (and its generalizations, fusions rules and S-adic systems), algebraic developments connected to physics, games and undecidability questions, and  the spectrum of substitution tilings.