Let {Mi}i=1ℓ be a non-trivial family of d×d complex
matrices, in the sense that for any n∈N, there exists i1...in∈{1,...,ℓ}n such that Mi1...Min=0. Let P:(0,∞)→R be the pressure function of {Mi}i=1ℓ. We show
that for each q>0, there are at most d ergodic q-equilibrium states of
P, and each of them satisfies certain Gibbs property.Comment: 12 pages. To appear in DCD