Weakly mixing rank-one transformations conjugate to their squares

• Autorzy: Alexandre I. Danilenko
• Języki publikacji: EN

Abstrakty

EN

Utilizing the cut-and-stack techniques we construct explicitly a weakly mixing rigid rank-one transformation T which is conjugate to T². Moreover, it is proved that for each odd q, there is such a T commuting with a transformation of order q. For any n, we show the existence of a weakly mixing T conjugate to T² and whose rank is finite and greater than n.

Kategorie tematyczne

• 37A15: General groups of measure-preserving transformations \SeeMainly{}
• 37A30: Ergodic theorems, spectral theory, Markov operators
• 37A20: Orbit equivalence, cocycles, ergodic equivalence relations
• 37A40: Nonsingular (and infinite-measure preserving) transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2008
• Tom: 187
• Numer: 1
• Strony: 75-93

Daty

wydano

2008

Twórcy

autor

Alexandre I. Danilenko

• Max Planck Institute for Mathematics, Vivatsgasse 7, Bonn, 53111, Germany
• Institute for Low Temperature Physics & Engineering of Ukrainian National Academy of Sciences, 47 Lenin Ave., Kharkov, 61164, Ukraine

Identyfikatory

DOI

10.4064/sm187-1-4