2018
Dec
18

# Matthew Foreman (UC IRVINE), Global Structure Theorems for the space of measure preserving transformations

2:15pm to 3:15pm

Abstract: This talk describes two classes of symbolic topological systems, the

*odometer based*and the*circular systems*. The odometer based systems are ubiquitous--when equipped with invariant measures they form an upwards closed cone in the space of ergodic transformations (in the pre-ordering induced by factor maps). The circular systems are a small class, but represent the diffeomorphisms of the 2-torus built using the Anosov-Katok technique of*approximation by conjugacy*.