On non-regular g-measures

Author： Gallo Sandro   Paccaut Frédéric  

Publisher： IOP Publishing

ISSN： 0951-7715

Source： Nonlinearity, Vol.26, Iss.3, 2013-03, pp. : 763-776

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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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