Abstract
In a recent paper we gave a sufficient condition for the strong mixing property of the Lévy-transformation. In this note we show that it actually implies a much stronger property, namely exactness.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
V. Prokaj, Some Sufficient Conditions for the Ergodicity of the Lévy-Transformation, ed. by C. Donati-Martin, A. Lejay, A. Rouault. Séminaire de Probabilités, XLV (Springer, New York, 2013), pp. 93–121. Doi: 10.1007/978-3-319-00321-4_2, arxiv:1206.2485
Acknowledgements
The author thanks Michel Emery for reading the first version of this note and offering helpful comments, and the referee for suggesting a simplification in the proof of Proposition 3.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Prokaj, V. (2014). On the Exactness of the Lévy-Transformation. In: Donati-Martin, C., Lejay, A., Rouault, A. (eds) Séminaire de Probabilités XLVI. Lecture Notes in Mathematics(), vol 2123. Springer, Cham. https://doi.org/10.1007/978-3-319-11970-0_16
Download citation
DOI: https://doi.org/10.1007/978-3-319-11970-0_16
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-11969-4
Online ISBN: 978-3-319-11970-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)