On non-regular g-measures

Sandro Gallo (1) , Frédéric Paccaut (2)

1 IM / UFRJ - Instituto de Matemática da Universidade Federal do Rio de Janeiro
2 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352

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.

Mots clés: g-measure; topological pressure; context tree

Domaines: Probabilités [math.PR]; Systèmes dynamiques [math.DS]

Sandro Gallo, Frédéric Paccaut. On non-regular g-measures. 2012. ⟨hal-00732257⟩