The conference is aimed at interactions between ergodic theory and dynamical systems and number theory. The main subjects are: disjointness in ergodic theory and randomness in number theory, ergodic theory and combinatorial number theory, and homogenous dynamics and its applications. As we count on the participation of the best world experts in these domains and on participation of brilliant young researchers, the conference should present the best of the state-of-the-art of these domains and will also show perspectives and challenges for them.

• Artur Avila (Université Paris Diderot & IMPA)
• Vitaly Bergelson (Ohio State University)
• Mandred Einsiedler (ETH Zürich)
• Hillel Furstenberg (The Hebrew University of Jerusalem)
• Anatole Katok (Penn State University)
• Christian Mauduit (Aix-Marseille Université)
• Imre Ruzsa (Alfréd Rényi Institute Budapest)
• Peter Sarnak (IAS Princeton)

• Julien Cassaigne (CNRS, Aix-Marseille Université)
• Sébastien Ferenczi (CNRS, Aix-Marseille Université)
• Pascal Hubert (Aix-Marseille Université)
• Joanna Kułaga-Przymus (Nicolaus Copernicus University Torun)
• Mariusz Lemańczyk (Nicolaus Copernicus University Torun & Aix-Marseille Université)

• Michael Baake (University of Bielefeld)

Weak model sets and dynamical systems of number-theoretic origin

• Michael Benedicks (KTH Stockholm)

Ergodic theory for Hénon-like maps (pdf)

• Vitaly Bergelson (Ohio State University)

Some open problems and conjectures at the interface of Ergodic Theory, Number Theory and Combinatorics

• Michael Boshernitzan (Rice University)

Nice Banach limits associated with Hardy fields (pdf)

• Michael Drmota (University of Vienna)

Normal Subsequences of Automatic Sequences (pdf)

• Manfred Einsiedler (ETH Zurich)

Measure Rigidy and Quantitative Recurrence

• Nikos Frantzikinakis (University of Crete)

Ergodicity of the Liouville system implies the Chowla conjecture (pdf)

• Alexander Gorodnik (University of Bristol)

Convergence of measures and arithmetics of Shimura varieties

• Harald Helfgott (CNRS, IMJ-PRG Paris)

The diameter of the symmetric group: ideas and tools

• Mike Hochman (The Hebrew University)

Dimension of Furstenberg measure of SL2(R) random matrix products

• Bernard Host (Université Paris Est Créteil)

Correlations and nilsequences (pdf)

• Bryna Kra (Northwestern University)

Shifts of low complexity

• James Maynard (University of Oxford)

Primes with missing digits

• Hitoshi Nakada (Keio University Sciences and Technology)

On the natural extensions of some complex continued fraction transformations

• Amos Nevo (Technion – Israel Institute of Technology)

Counting solutions in Intrinsic Diophantine approximation   (pdf)

• Janos Pintz (Alfréd Rényi Institute Budapest)

Patterns of primes in arithmetic progressions (pdf)

• Maksym Radziwill (Rutgers University)

Quantum Unique Ergodicity for half-integral weight forms

• Christoph Richard (FAU Erlangen Nürnberg)

Dynamical properties of weak model sets (pdf)

• Peter Sarnak (IAS, Princeton)

Integral points on Markoff type cubic surfaces and dynamics   (pdf)

• Klaus Schmidt (University of Vienna)

Nonmixing sets of algebraic Zd-actions (pdf)

• Benjamin Weiss (the Hebrew University of Jerusalem)

The Unsolved Problems of Halmos

• Máté Wierdl (University of Memphis)

Random differences of arithmetic progressions in the primes

• Xiangdong Ye (University of Science and Technology of China)

Regionally proximal relation of higher order: results and questions (pdf)

• Pavel Zorin-Kranich (University of Bonn)

Jump inequalities for polynomial ergodic averages