**CONFERENCE**

**Frontiers of Operator Dynamics****September 28 - October 2, 2015**
Dynamics of linear operators, often seen as dynamics of the corresponding discrete or continuous operator semigroup, is a mature but at the same time steadily evolving field serving as a common denominator for many other areas of mathematics, such as for instance ergodic theory, complex analysis, harmonic analysis and the theory of partial differential equations. It consists in the study of the long-time behaviour of orbits of certains classes of operators or semigroups acting on Banach or Fréchet spaces, both from the topological and from the ergodic point of view.
The aim of the meeting "Frontiers of Operator Dynamics" is to bring together researchers whose main interests interact with issues pertaining to the study of qualitative and quantitative properties of operator orbits (or operator semigroups) as well as experts in ergodic theory, and to initiate a fruitful interchange of ideas from complementary areas of expertise. In particular, it will be one of the main goals of the workshop to underline the interactions between: - classical ergodic theory with emphasis on operator aspects, such as the study of convergence of averages, of recurrence, of joining of dynamical systems, and of rigidity phenomena; - dynamics of operator semigroups, with the study of conditions implying convergence of orbits, as well as of the rates of convergence, and the investigation of their "good" asymptotic properties such as stability or hyperbolicity, as well as their "bad" asymptotic properties such as cyclicity and mixing; - dynamics of linear operators, i.e. the study of dynamical systems given by the action of a bounded linear operator on a Banach space, and the investigation of topological properties (such as hypercyclicity) as well as of ergodic phenomena in this context. |
Scientific CommitteeVitali Bergelson (Ohio State University) Alexander Borichev (Aix-Marseille Université) Ralph Chill (TU Dresden) Eli Glasner (Tel Aviv University, Israel) Sophie Grivaux (Université Lille 1) Marius Lemańczyk (Nicolaus Copernicus University Torun) Organizing CommitteeSophie Grivaux (Université Lille 1) Marius Lemańczyk (Nicolaus Copernicus University Torun) Yuri Tomilov (Polish Academy of Sciences) Speakers- Jon Aaronson (Tel Aviv University)
Distributional limits of positive, ergodic stationary processes & infinite ergodic transformations (slides)- Wolfang Arendt (Ulm University)
Convergence of orbits and compactness- Idris Assani (University of North Carolina)
Convergence of nonconventional ergodic averages (slides)- Catalin Badea (Université Lille 1)
Sets of integers determined by operator-theoretical results- Charles Batty (University of Oxford)
Rates of decay associated with operator semigroups (slides)- Frédéric Bayart (Université Blaise Pascal Clermont-Ferrand)
Common hypercyclic vectors for high dimensional families of operators- Vitaly Bergelson (Ohio State University)
Potpourri of Open Problems and Conjectures in Linear Dynamics and Ergodic Theory.- Alexander Borichev (Aix-Marseille Université)
Random and pseudo-random Taylor series- Alexander Bufetov (Aix-Marseille Université)
Markov operators, reverse martingles and ergodic theorems for group actions- Ralph Chill (TU Dresden)
Quantified versions of Ingham's Tauberian theorem- Jean-Pierre Conze (Université Rennes 1)
Almost mixing of all orders Z2-actions, Ledrappier's example and the CLT- Fabien Durand (Université de Picardie Jules Verne)
Eigenvalues of minimal Cantor systems (slides)- Tanja Eisner (University of Leipzig)
Weighted ergodic theorems (slides)- El Houcein El Abdalaoui (Université de Rouen)
On the Banach spectral problem in ergodic theory and the polynomialflatness problem with connection to the Mahler problem and related topics - Romuald Ernst (Aix-Marseille Université)
Hypercyclic scalar sets- Balint Farkas (Bergische University of Wuppertal)
A Bohl--Bohr--Kadets type theorem characterizing Banach spaces not containing c_0- Krzysztof Fraczek (Nicholas Copernicus University, Torun)
Birkhoff and Oseledets genericity along curves (slides)- Eli Glasner (Tel Aviv University)
- Alexander Gomilko (Nicholas Copernicus University, Torun)
Rates in mean ergodic theorems: inverse results- Karl Grosse-Erdmann (Université de Mons)
Upper frequently hypercyclic operators- Markus Haase (TU Delft)
On some operator-theoretic aspects of ergodic theory (slides)- Alexey Klimenko (Steklov Mathematical Institute)
On asymptotics of Arnold tongues for some families of flows on 2-tori- Eva Kopecká (University of Innsbruck)
Strange products of orthogonal projections (slides)- Michael Lin (Ben-Gurion University)
Symmetrization of Markov operators- Etienne Matheron (Université d'Artois)
Some remarks regarding ergodic operators (slides)- Quentin Menet (Université d'Artois)
Linear chaos and frequent hypercyclicity (slides)- Vladimir Müller (Czech Academy of Sciences)
Mean ergodic theorem for polynomial subsequences (slides)- Marina Murillo Arcila (University 'Politecnica Valencia')
Frequently hypercyclic translation semigroups- Pavel Nikitin (Aix-Marseille Université)
Two semigroups connected with the infinite symmetric group, their representations and random walk on graded graphs- Alfred Peris (University 'Politecnica Valencia')
On the shadowing property in linear dynamics- Samuel Petite (Université Picardie Jules Verne)
Automorphism groups of subshifts with low complexity (slides)- Maria Roginskaya (Chalmers University of Technology)
r-Bohr sequences which are not (r+1)-Bohr- David Seifert (University of Oxford)
Asymptotics of infinite systems of ODEs (slides)- Tom Ter Elst (University of Auckland)
On one-parameter Koopman groups (slides)- Rafael Tiedra (Pontificia Catolica University of Chile)
Commutator criteria for strong mixing (slides) |