Y. Lacroix


Titre: "On a question of Kalikow, Katznelson and Weiss"


Abstract: In 1992, Kalikow, Katznelson and Weiss have proposed an example of a continuous positive $g$-function possibly exhibiting some non-uniqueness in equilibrium. It was proved to be the case by Bramson and Kalikow in 1993; the technics used were mainly couplings. In this short note we propose another proof for non-uniqueness, based on attractivity developped by Hulse in 1991, and an application of the Kemeny and Snell identity.

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