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Homogeneous probability measures on the Cantor set
- 1.0507736 - MÚ 2020 RIV US eng J - Journal Article
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
R&D Projects: GA ČR GF16-34860L
Institutional support: RVO:67985840
Keywords : homogeneous probability measure * rational probability * Cantor set
OECD category: Pure mathematics
Impact factor: 1.220, year: 2019
Method of publishing: Limited access
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.
Permanent Link: http://hdl.handle.net/11104/0298712
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