On the existence of a darling-kac set for the renormalized rauzy map

Kae Inoue; Hitoshi Nakada

doi:10.3836/tjm/1327931385

On the existence of a darling-kac set for the renormalized rauzy map

Kae Inoue, Hitoshi Nakada

Faculty of Pharmacy

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	289-302
Number of pages	14
Journal	Tokyo Journal of Mathematics
Volume	34
Issue number	2
DOIs	https://doi.org/10.3836/tjm/1327931385
Publication status	Published - 2017

ASJC Scopus subject areas

Mathematics(all)

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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.",

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On the existence of a darling-kac set for the renormalized rauzy map

Abstract

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