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On Mixing Rank One Infinite Transformations | V.V.Ryzhikov
; | Date: |
23 Jun 2011 | Abstract: | J.-P. Thouvenot and the author showed via different approaches that the
centralizer of a mixing rank-one infinite measure preserving transformation was
trivial. In this note the author presents his joining proof. We also consider
constructions with algebraic spacers as well as a class of Sidon constructions
to produce new examples of mixing rank one transformations. In connection with
Gordin’s question on the existence of homoclinic ergodic actions for a zero
entropy system we also discuss Poisson suspensions of some modifications of
Sidon rank one constructions. | Source: | arXiv, 1106.4655 | Services: | Forum | Review | PDF | Favorites |
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