Leo Liberti, James Ostrowski
Journal of Global Optimization
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.
Leo Liberti, James Ostrowski
Journal of Global Optimization
Heng Cao, Haifeng Xi, et al.
WSC 2003
Harlan Crowder, Ron S. Dembo, et al.
ACM Transactions on Mathematical Software (TOMS)
Fritz J. Hohn
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