2018
May
17

# Basic Notions - Benjamin Weiss: "All ergodic systems have the Weak Pinsker property" Part 2

4:00pm to 5:30pm

## Location:

Ross 70

Second part of the talk from last week:

An ergodic system (X;B; μ; T) is said to have the weak Pinsker

property if for any ε > 0 one can express the system as the direct

product of two systems with the first having entropy less than ε and

the second one being isomorphic to a Bernoulli system. The problem

as to whether or not this property holds for all systems was open for

more than forty years and has been recently settled in the affirmative

in a remarkable work by Tim Austin.

An ergodic system (X;B; μ; T) is said to have the weak Pinsker

property if for any ε > 0 one can express the system as the direct

product of two systems with the first having entropy less than ε and

the second one being isomorphic to a Bernoulli system. The problem

as to whether or not this property holds for all systems was open for

more than forty years and has been recently settled in the affirmative

in a remarkable work by Tim Austin.