Stochastic trace formulas

Details Stochastic trace formulas Stochastic trace formulas

1999-02-23

arxiv.org/abs/math/9902136v1

Mathematics

Numerical Analysis

Scientific paper

The spectrum of the evolution Operator associated with a nonlinear stochastic flow with additive noise is evaluated by diagonalization in a polynomial basis. The method works for arbitrary noise strength. In the weak noise limit we formulate a new perturbative expansion for the spectrum of the stochastic evolution Operator in terms of expansions around the classical periodic orbits. The diagonalization of such operators is easier to implement than the standard Feynman diagram perturbation theory. The result is a stochastic analog of the Gutzwiller semiclassical spectral determinant with the ``$\hbar$'' corrections computed to at least two orders more than what has so far been attainable in stochastic and quantum-mechanical applications, supplemented by the estimate for the late terms in the asymptotic saddlepoint expansions.

Affiliated with

Also associated with

No associations

Rating

Stochastic trace formulas does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Stochastic trace formulas, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stochastic trace formulas will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-319774