English

Stochastic differential equations with covariant probabilities

Statistical Mechanics 2016-05-12 v6 Mathematical Physics math.MP Probability

Abstract

Covariance of the resulting probabilities requires the "anti-Ito" sense. The corresponding Fokker-Planck equation is simplified and preserves important features of the case with a constant diffusion. Multiplicative noise can always be removed by a change of the variables, which is specified explicitly.

Keywords

Cite

@article{arxiv.1510.01247,
  title  = {Stochastic differential equations with covariant probabilities},
  author = {Dietrich Ryter},
  journal= {arXiv preprint arXiv:1510.01247},
  year   = {2016}
}

Comments

Replaced by arXiv:1605.02897

R2 v1 2026-06-22T11:13:06.336Z