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Weak limits of powers of Chacons automorphism

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 نشر من قبل Thierry De La Rue
 تاريخ النشر 2013
  مجال البحث
والبحث باللغة English
 تأليف Elise Janvresse




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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.



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