Weak limits of powers of Chacons automorphism


الملخص بالإنكليزية

We completely describe the weak closure of the powers of the Koopman operator associated to Chacons classical automorphism. We show that weak limits of these powers are the ortho-projector to constants and an explicit family of polynomials. As a consequence, we answer negatively the question of alpha-weak mixing for Chacons automorphism.

تحميل البحث