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

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DOI

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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     title = {Backward {Continued} {Fractions} and their {Invariant} {Measures}},
     journal = {Canadian mathematical bulletin},
     pages = {186--198},
     year = {1996},
     volume = {39},
     number = {2},
     doi = {10.4153/CMB-1996-023-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1996-023-8/}
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