We showed earlier that the separation of orbits initially close to
each other occurred at an exponential rate. We would like to
examine the Lyapunov exponents
of the Gauss map, to see if we can
explicitly * measure* the rate of separation. The Lyapunov
exponents of orbits of the Gauss map are defined as [8]
whenever this limit exists. Note that exists even at the
jump discontinuities , but there is a real singularity at the
origin. Nearby orbits will separate from
the orbit of at an average rate of ,
after **k** iterations of **G**.