Trace formula for noise corrections to trace formulas

Details Trace formula for noise corrections to trace formulas Trace formula for noise corrections to trace formulas

2000-10-02

arxiv.org/abs/nlin/0010004v2

Phys. Rev. E 64, 012104 (2001)

Nonlinear Sciences

Chaotic Dynamics

4 pages, 2 figures

Scientific paper

10.1103/PhysRevE.64.012104

We consider an evolution operator for a discrete Langevin equation with a strongly hyperbolic classical dynamics and Gaussian noise. Using an integral representation of the evolution operator we investigate the high order corrections to the trace of arbitary power of the operator. The asymptotic behaviour is found to be controlled by sub-dominant saddle points previously neglected in the perturbative expansion. We show that a trace formula can be derived to describe the high order noise corrections.

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