On non-regular g-measures
classification
🧮 math.PR
math.DS
keywords
pointsaddingassumptionconditionscontinuitydiscontinuityg-functionsg-measure
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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.
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