Geodesic
Backward Continued Fractions and their Invariant Measures
Canadian mathematical bulletin, Tome 39 (1996) no. 2, pp. 186-198

Voir la notice de l'article provenant de la source Cambridge University Press

This paper continues our investigation of backward continued fractions, associated with the generalized Renyi maps on [0,1). We first show that the dynamics of the shift map on a specific class of shift invariant spaces of nonnegative integer sequences exactly models the maps Tu for u € (0,4). In the second part we construct a new family of explicit invariant measures for certain values of the parameter u.
DOI : 10.4153/CMB-1996-023-8
Mots-clés : 11J70, 58F11, 58F03, Continued fractions, interval maps, invariant measures, symbolic dynamics 
Gröchenig, Karlheinz; Haas, Andrew. Backward Continued Fractions and their Invariant Measures. Canadian mathematical bulletin, Tome 39 (1996) no. 2, pp. 186-198. doi: 10.4153/CMB-1996-023-8
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