几乎可加势Gibbs测度的一个性质

A Property of Gibbs Measures with Almost Additive Potentials

设σ:∑_A→∑_A为拓扑混合的有限型子位移.本文给出了∑_A上的两个几乎可加势生成同一个Gibbs测度的一些充要条件.作为应用,得到了几乎可加势生成的Gibbs测度是极大熵测度的充分条件.

Letσ：∑_A→∑_a be a topologically mixing finite type shift.For two almost additive potentials,we give some equivalent conditions for which the two potentials generate the same Gibbs measure.As an application,we give some sufficient conditions for which an almost additive potential generate the maximal entropy measure.