  The Fluctuation Theorem (FT) is a generalisation of the Second Law of
Thermodynamics that applies to small systems observed for short times. For
thermostatted systems it gives the probability ratio that entropy will be
consumed rather than produced. In this paper we derive the Transient and Steady
State Fluctuation Theorems using Lyapunov weights rather than the usual Gibbs
weights. At long times the Fluctuation Theorems so derived are identical to
those derived using the more standard Gibbs weights.
