Trace formulae for stochastic evolution operators: smooth conjugation method

The trace formula for the evolution operator associated with nonlinear stoc hastic flows with weak additive noise is cast in the path integral formalis m. We integrate over the neighbourhood of a given saddlepoint exactly by me ans Of a smooth conjugacy, a locally analytic nonlinear change of field var iables. The perturbative corrections are transferred to the corresponding J acobian, which we expand in terms of the conjugating function, rather than the action used in defining the path integral. The new perturbative expansi on which follows by a recursive evaluation of derivatives appears more comp act than the standard Feynman diagram perturbation theory. The result is a stochastic analogue of the Gutzwiller trace formula with the '(h) over bar' corrections computed an order higher than what has so far been attainable in stochastic and quantum mechanical applications.