Statistical properties and correlation length in star-forming molecular clouds. I. Formalism and application to observations

@article{Jaupart2022StatisticalPA,
  title={Statistical properties and correlation length in star-forming molecular clouds. I. Formalism and application to observations},
  author={Etienne Jaupart and Gilles Chabrier},
  journal={Astronomy \& Astrophysics},
  year={2022}
}
Observations of molecular clouds (MCs) show that their properties exhibit large fluctuations. The proper characterization of the general statistical behavior of these fluctuations, from a limited sample of observations or simulations, is of prime importance to understand the process of star formation. In this article, we use the ergodic theory for any random field of fluctuations, as commonly used in statistical physics, to derive rigorous statistical results. We outline how to evaluate the…