Countable state shifts and uniqueness of g-measures

Details Countable state shifts and uniqueness of g-measures Countable state shifts and uniqueness of g-measures

2005-09-05

arxiv.org/abs/math/0509109v1

Mathematics

Dynamical Systems

11 pages

Scientific paper

In this paper we present a new approach to studying g-measures which is based upon local absolute continuity. We extend the result in [11] that square summability of variations of g-functions ensures uniqueness of g-measures. The first extension is to the case of countably many symbols. The second extension is to some cases where $g \geq 0$, relaxing the earlier requirement in [11] that inf g>0.

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