Trace formula for noise corrections to trace formulas.
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 L, we investigate the high-order corrections to the trace of L(n). The asymptotic behavior is found to be controlled by subdominant saddle points previously neglected in the perturbative expansion. We show that a trace formula can be derived to describe the high-order noise corrections.
Palla
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G
Department of Physics of Complex Systems, Eötvös University, Pázmány Péter sétany 1/A, H-1117 Budapest, Hungary.
Vattay
G
G
Voros
A
A