Asymptotic symmetry and asymptotic solutions to Ito stochastic differential equations

@article{Gaeta2022AsymptoticSA,
  title={Asymptotic symmetry and asymptotic solutions to Ito stochastic differential equations},
  author={Giuseppe Gaeta and Roman Kozlov and Francesco Spadaro},
  journal={Mathematics in Engineering},
  year={2022}
}
We consider several aspects of conjugating symmetry methods, including the method of invariants, with an asymptotic approach. In particular we consider how to extend to the stochastic setting several ideas which are well established in the deterministic one, such as conditional, partial and asymptotic symmetries. A number of explicit examples are presented. 

Symmetry classification of scalar autonomous Ito stochastic differential equations with simple noise

TLDR
This work provides a classification of scalar autonomous Ito stochastic dif-ferential equations with simple noise possessing symmetries, and extends previous classi fications in that it also considers recently introduced types of symmetry, in particular standard random symmetry, not considered in those.

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