Moutaz Fakhry, Yuri Granik, et al.
SPIE Photomask Technology + EUV Lithography 2011
The ‘backward continued fraction’ map studied by A. Reyni is defined by y = g(x) where g(x) equals the fractional part of 1/(1−x) for 0 < x < 1. We show that it is a factor map of a special cross-section map for the geodesic flow on the unit tangent bundle of the modular surface. This gives an alternative derivation of the fact that this map preserves the infinite measure dx/x on the unit interval. © 1984, Cambridge University Press. All rights reserved.
Moutaz Fakhry, Yuri Granik, et al.
SPIE Photomask Technology + EUV Lithography 2011
Renu Tewari, Richard P. King, et al.
IS&T/SPIE Electronic Imaging 1996
Martin Charles Golumbic, Renu C. Laskar
Discrete Applied Mathematics
Nimrod Megiddo
Journal of Symbolic Computation