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Non-regular <i>g</i>-measures and variable length memory chains

Non-regular <i>g</i>-measures and variable length memory chains

It is well-known that there always exists at least one stationary measure compatible with a continuous g-function g. Here we prove that if the set of discontinuities of a g-function g has null measure under a candidate measure obtained by some asymptotic procedure, then this candidate measure is compatible with …