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arXiv · 1209.3141

On non-regular g-measures

Sandro Gallo·Frédéric Paccaut
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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.

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Sandro Gallo, Frédéric Paccaut. 2012-09-14. On non-regular g-measures. https://doi.org/10.1088/0951-7715%2F26%2F3%2F763

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