Leo Butler (University of Edinburgh)
l.butler@ed.ac.uk
What is the connection between integrability, entropy and the topology of a hamiltonian system's phase space? This talk will discuss examples which show that integrable hamiltonian systems may have positive entropy -- even positive entropy with respect to the canonical measure. Similarly, one might hope that the phase space of an integrable system must be topologically "straightforward." The talk will also discuss some results and examples which suggest that this may only be true in low dimensions.