English

Averaging principle for equation driven by a stochastic measure

Probability 2024-07-23 v2

Abstract

Equation with the symmetric integral with respect to stochastic measure is considered. For the integrator, we assume only σ\sigma-additivity in probability and continuity of the paths. It is proved that the averaging principle holds for this case, the rate of convergence to the solution of the averaged equation is estimated.

Keywords

Cite

@article{arxiv.1812.05076,
  title  = {Averaging principle for equation driven by a stochastic measure},
  author = {Vadym Radchenko},
  journal= {arXiv preprint arXiv:1812.05076},
  year   = {2024}
}
R2 v1 2026-06-23T06:40:30.998Z