11 Feb 2004; Mat-Nat Faculty (UITO), room U7. Wednesday 12:15-14:00

Boris Kruglikov "Hyperbolic theory in the presence of singularities - I".

I will continue with the example of singular dynamical system discussed last time. I will calculate detaily the entropy of the map and its coding (and show the meaning of the inroduced earlier invariants from Pesin theory). Maybe we shall consider some other examples. After this I wish to discuss what happens to the standard hyperbolic theory (Lyapunov exponenets, entropy formulas, SBR measures) in the presence of singularities. This part will be based mainly on the paper J. Scmeling, S. Troubetzkoy "Dimension and invertability of hyperbolic endomorpyhisms with singularities".