### Abstract

We consider an evolution operator for a discrete Langevin equation with a strongly hyperbolic classical dynamics and noise with finite moments. Using a perturbative expansion of the evolution operator we calculate high order corrections to its trace in the case of a quartic map and Gaussian noise. The asymptotic behaviour is investigated and is found to be independent up to a multiplicative constant of the distribution of noise.

Original language | English |
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Pages (from-to) | 385-395 |

Number of pages | 11 |

Journal | Journal of Statistical Physics |

Volume | 101 |

Issue number | 1-2 |

Publication status | Published - Oct 2000 |

### Fingerprint

### Keywords

- Discrete Langevin equation
- High order asymptotics
- Weak noise

### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics

### Cite this

*Journal of Statistical Physics*,

*101*(1-2), 385-395.

**Asymptotics of high order noise corrections.** / Søndergaard, Niels; Palla, Gergely; Vattay, G.; Voros, André.

Research output: Contribution to journal › Article

*Journal of Statistical Physics*, vol. 101, no. 1-2, pp. 385-395.

}

TY - JOUR

T1 - Asymptotics of high order noise corrections

AU - Søndergaard, Niels

AU - Palla, Gergely

AU - Vattay, G.

AU - Voros, André

PY - 2000/10

Y1 - 2000/10

N2 - We consider an evolution operator for a discrete Langevin equation with a strongly hyperbolic classical dynamics and noise with finite moments. Using a perturbative expansion of the evolution operator we calculate high order corrections to its trace in the case of a quartic map and Gaussian noise. The asymptotic behaviour is investigated and is found to be independent up to a multiplicative constant of the distribution of noise.

AB - We consider an evolution operator for a discrete Langevin equation with a strongly hyperbolic classical dynamics and noise with finite moments. Using a perturbative expansion of the evolution operator we calculate high order corrections to its trace in the case of a quartic map and Gaussian noise. The asymptotic behaviour is investigated and is found to be independent up to a multiplicative constant of the distribution of noise.

KW - Discrete Langevin equation

KW - High order asymptotics

KW - Weak noise

UR - http://www.scopus.com/inward/record.url?scp=0034288495&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034288495&partnerID=8YFLogxK

M3 - Article

VL - 101

SP - 385

EP - 395

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 1-2

ER -