The originality of this conference is to bring together researchers in ergodic theory, probability theory and mathematical statistical physics to exchange expertise and techniques in order to create inspiring climate where new ideas and knowledge can emerge and new collaboration and cross fertilization will occur.

This is motivated by recent works on the fluctuation properties of multiple ergodic theory, by the unexpected connection with lattice models in statistical physics, and by the multifractal structure of level sets of such averages.

These problems are still in their infancy and new ideas are needed to make breakthroughs because classical techniques used for the usual averages fail.

Speakers

• Vitaly Bergelson (Ohio State University)

Aspects of uniformity In the theory of multiple recurrence

• Karma Dajani (Utrecht University)

From symmetric doubling maps to alpha-continued fractions

• Ai-Hua Fan (Université de Picardie)

Some remarks on weighted birkhoff averages

• Markus Haase (Kiel University)

Mini-Cours: Operators in ergodic theory

• Yuri Kifer (Hebrew University of Jerusalem and University of Pennsylvania)

Ergodic and limit theorems for generalized nonconventional sums and another extension of the Szemerédi’s theorem

• Bryna Kra (Northwestern University)

Mini-Cours: Multiple ergodic theorems: old and new

• Mark Pollicott (University of Warwick)

Multiple mixing and higher correlations for hyperbolic systems

• Stéphane Seuret (Universitu of Marne-la-Vallée)

Impact of a sample procedure on a Gibbs tree   (pdf)

• Evgeny Verbitskiy (Leiden University)

Probabilistic properties of non-conventional ergodic averages   (pdf)

• Benjamin Weiss (Hebrew University of Jerusalem)

Limit theorem for multiple averages and strict ergodicity

• Meng Wu (University of Oulu)

On the intersections of times 2 and times 3 invariant sets   (pdf)