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Continued Fraction Map


f(x)={1\over x}-\left\lfloor{1\over x}\right\rfloor

for $x\in[0,1]$, where $\left\lfloor{x}\right\rfloor $ is the Floor Function. The Invariant Density of the map is

\rho(y)={1\over (1+y)\ln 2}.


Beck, C. and Schlögl, F. Thermodynamics of Chaotic Systems. Cambridge, England: Cambridge University Press, pp. 194-195, 1995.

© 1996-9 Eric W. Weisstein