Date:
Tue, 05/05/202614:00-15:00
Location:
Ross 70
Speaker: Michael Hochman (HUJI)
Title: Around the x2,x3 question
Abstract: The famous x2,x3 problem asks if a non-atomic but singular measure on [0,1], that is invariant under x2 mod 1, can also be invariant under x3 mod 1. The answer is known to be negative in positive entropy, and unknown in zero entropy. I will discuss the following result: for any such measure (independent of its entropy), a.e. point has a dense orbit under x3.
Title: Around the x2,x3 question
Abstract: The famous x2,x3 problem asks if a non-atomic but singular measure on [0,1], that is invariant under x2 mod 1, can also be invariant under x3 mod 1. The answer is known to be negative in positive entropy, and unknown in zero entropy. I will discuss the following result: for any such measure (independent of its entropy), a.e. point has a dense orbit under x3.