Chernoff's theorem for backward propagators and applications to diffusions on manifolds

@article{Shamarova2010ChernoffsTF,
  title={Chernoff's theorem for backward propagators and applications to diffusions on manifolds},
  author={Evelina Shamarova},
  journal={arXiv: Functional Analysis},
  year={2010},
  pages={619-632}
}
  • Evelina Shamarova
  • Published 2010
  • Mathematics
  • arXiv: Functional Analysis
  • The classical Chernoff's theorem is a statement about discrete-time approximations of semigroups, where the approximations are consturcted as products of time-dependent contraction operators strongly differentiable at zero. We generalize the version of Chernoff's theorem for semigroups proved in a paper by Smolyanov et al., and obtain a theorem about descrete-time approximations of backward propagators.