English

On non-regular g-measures

Probability 2015-06-11 v1 Dynamical Systems

Abstract

We prove that g-functions whose set of discontinuity points has strictly negative topological pressure and which satisfy an assumption that is weaker than non-nullness, have at least one stationary g-measure. We also obtain uniqueness by adding conditions on the set of continuity points.

Keywords

Cite

@article{arxiv.1209.3141,
  title  = {On non-regular g-measures},
  author = {Sandro Gallo and Frédéric Paccaut},
  journal= {arXiv preprint arXiv:1209.3141},
  year   = {2015}
}
R2 v1 2026-06-21T22:04:57.349Z