Continuity and hausdorff dimension of julia set concerning yang-lee zeros

Considering the Julia set J(Tλ) of the Yang-Lee zeros of the Potts model on the diamond hierarchical Lattice on the complex plane, the authors proved that J(Tλ) > 1 and discussed the continuity of J(Tλ) in Hausdorff topology for λ ∈ R.