Metrical diophantine approximation for continued fraction like maps of the interval

Haas, Andrew; Molnar, David

doi:10.1090/S0002-9947-03-03371-3

Metrical diophantine approximation for continued fraction like maps of the interval
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Trans. Amer. Math. Soc. 356 (2004), 2851-2870 Request permission

Abstract:

We study the metrical properties of a class of continued fraction-like mappings of the unit interval, each of which is defined as the fractional part of a Möbius transformation taking the endpoints of the interval to zero and infinity.

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