Nonsingular $\alpha$-rigid maps: Short proof

Autor:	Ageev, Oleg N.
Rok vydání:	2009
Předmět:	Mathematics - Dynamical Systems Mathematics - Spectral Theory 37Axx 28D05
Druh dokumentu:	Working Paper
Popis:	It is shown that for every $\alpha$, where $\alpha\in [0, 1/2]$, there exists an $\alpha$-rigid transformation whose spectrum has Lebesgue component. This answers the question posed by Klemes and Reinhold in [7]. We apply a certain correspondence between weak limits of powers of a transformation and its skew products. Comment: 3 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0905.1091 Zobrazit plný text záznamu View this record from Arxiv