Homogeneous probability measures on the Cantor set

0507736 - MÚ 2020 RIV US eng J - Článek v odborném periodiku
Bielas, Wojciech - Kubiś, Wieslaw - Walczyńska, Marta
Homogeneous probability measures on the Cantor set.
Journal of Mathematical Analysis and Applications. Roč. 479, č. 2 (2019), s. 2076-2089. ISSN 0022-247X. E-ISSN 1096-0813
Grant CEP: GA ČR GF16-34860L
Institucionální podpora: RVO:67985840
Klíčová slova: homogeneous probability measure * rational probability * Cantor set
Obor OECD: Pure mathematics
Impakt faktor: 1.220, rok: 2019
Způsob publikování: Omezený přístup
http://dx.doi.org/10.1016/j.jmaa.2019.07.041

We show that every homeomorphism between closed measure zero subsets extends to a measure preserving auto-homeomorphism, whenever the Cantor set is endowed with a suitable probability measure. This is valid both for the standard product measure, as well as for the universal homogeneous rational measure.
Trvalý link: http://hdl.handle.net/11104/0298712