Abstract
It is well-known that the renormalized Rauzy map is conservative and ergodic. In this paper, we show that a Darling-Kac set exists for the renormalized Rauzy map. This implies the pointwise dual ergodicity of this map.
Citation
Kae INOUE. Hitoshi NAKADA. "On the Existence of a Darling-Kac Set for the Renormalized Rauzy Map." Tokyo J. Math. 34 (2) 289 - 302, December 2011. https://doi.org/10.3836/tjm/1327931385
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