Date:
Tue, 13/01/202612:00-13:00
Location:
Faculty Lounge
Title: Good Measures - Midot Tovot
Speaker: Eli Glasner (TAU)
Abstract:
A fully supported continuous measure μ on the Cantor set X is called “good” if it satisfies the subset condition:
Whenever U and V are clopen subsets of X with μ(U) ≤ μ(V) then, there exists a clopen subset U_1 of X such that U_1 ⊂ V, and μ(U) = μ(U_1).
I will describe a proof of the following theorem: μ is good iff there is a homeomorphism T of X such that the dynamical system (X, μ, T) is minimal and uniquely ergodic.
Speaker: Eli Glasner (TAU)
Abstract:
A fully supported continuous measure μ on the Cantor set X is called “good” if it satisfies the subset condition:
Whenever U and V are clopen subsets of X with μ(U) ≤ μ(V) then, there exists a clopen subset U_1 of X such that U_1 ⊂ V, and μ(U) = μ(U_1).
I will describe a proof of the following theorem: μ is good iff there is a homeomorphism T of X such that the dynamical system (X, μ, T) is minimal and uniquely ergodic.