next up previous contents
Next: Ergodic Results Up: Lyapunov Exponents Previous: Lyapunov Exponents

Remark.

There are infinitely many initial points in with this Lyapunov exponent. For example, all the numbers , that is, all the numbers whose continued fractions ultimately end in 1's, have Lyapunov exponent . These are the so-called noble numbers [22], noticed for their resistance to chaos, and we see here that they all share the (still positive) minimum possible Lyapunov exponent under the Gauss map.



Rob Corless
Wed Jun 7 09:09:48 PDT 1995