09:40-10:30 Omri Sarig (Weizmann I.) "Intrinsic ergodicity for C infinity surface diffeomorphisms" Abstract: Sheldon Newhouse proved that any C infinity diffeomorphism on a compact manifold admits measures of maximal entropy. We show that in dimension two, if the diffeomorphism is topologically transitive and has positive topological entropy, then the measure of maximal entropy is unique. [Joint with J. Buzzi and S. Crovisier] 10:40-11:30 Michal Lemanczyk (Warsaw U.) "Bernstein like inequality for Markov chains" 11:30-12:00 Coffee 12:00-12:50 Tom Meyerovitch (BGU) "On Pointwise Periodicity and expansiveness" Abstract: Following Kaul, a discrete (topological) group G of transformations of set X is pointwise periodic if the stabilizer of every point is of finite index (co-compact) in G. Equivalently, all G-orbits are finite (compact). Generalizing a result of Montgomery, Kaul showed in the early 70's that a pointwise periodic transformation group is always compact when the group acts (faithfully) on a connected manifold without boundary. I will discuss implications of expansiveness and pointwise periodicity of certain groups and semigroups of transformations. In particular I'll state implications for cellular automata and for planner tilings. Based on joint work with Ville Salo. Lunch 14:30-15:20 Jon Aaronson (TAU) "Local limit theorems for cocycles over suspended semiflows" Abstract: The simplest example of a cocycle over a suspended semiflow is a continuous time random walk. Here the displacement is independent of the "flow renewals". I'll show how to prove LLT for these and other like systems where the semiflow is a suspension of a nice fibred system (Gibbs Markov or AFU map). With less stringent assumptions, we get "density LLTs". Based on joint work with D. Terhesiu. Coffee 15:50-16:40 Zemer Kosloff (HUJI) " Non singular automorphisms of Poisson point processes" Abstract: The groups of diffeormorphisms of locally compact non compact Riemmanian manifolds which equal to the identity outside a compact set is an example of an infinite dimensional Lie group. It`s representation theoretic study, which was initiated by Goldin, Grodnik, Powers, and Sharp and Gelfand, Graev and Vershik, is linked to a natural action of the group which moves all points of a Poisson point process according to the diffeomorphism. As Neretin noticed, these actions fall into a larger class of nonsingular automorphisms of the Poisson point process which we call nonsingular Poisson suspensions. In a joint work in progress with A. Danilenko and E. Roy we show that this group is a Polish group and study the ergodic theoretic properties of individual elements from the group. 6:30-17:20 Eli Glasner (TAU) "A metric minimal PI cascade with 2^c minimal ideals" Abstract: We first improve an old result of McMahon and show that a metric minimal flow whose enveloping semigroup contains less than 2^c (where c = 2^{aleph_0}) minimal left ideals is PI (a class containing the distal systems and disjoint from weak mixing). Then we show the existence of various minimal PI flows with many minimal left ideals, as follows: For the acting group G=SL(2,R)^N, we construct a metric minimal PI G-flow with c minimal left ideals. We then use this example and results established in [GW-79] to construct a metric minimal PI cascade (X,T) with c minimal left ideals. We go on and construct an example of a minimal PI-flow (Y, H) on a compact manifold Y and a suitable path-wise connected group H of homeomorphism of Y, such that the flow (Y, H) is PI and has 2^c minimal left ideals. Finally, we use this latter example and a theorem of Dirbak to construct a cascade (X,T) which is PI (of order 3) and has 2^c minimal left ideals. Thus this final result shows that, even for cascades, the converse of the implication ``less than 2^c minimal left ideals implies PI", fails. Joint work with Yair Glasner.