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Symmetries of Kolmogorov backward equation

Mathematical Physics 2020-11-02 v1 math.MP Probability

Abstract

The note provides the relation between symmetries and first integrals of It\^{o} stochastic differential equations and symmetries of the associated Kolmogorov backward equation. Relation between the symmetries of the Kolmogorov backward equation and the symmetries of the Kolmogorov forward equation is also given.

Keywords

Cite

@article{arxiv.2010.16128,
  title  = {Symmetries of Kolmogorov backward equation},
  author = {Roman Kozlov},
  journal= {arXiv preprint arXiv:2010.16128},
  year   = {2020}
}