3 citations · 6 across the 4 of their papers we have counts for
4 papers
Hausdorff dimension of Julia sets of unicritical correspondences
Carlos Siqueira
We show that if is a rational number and the Julia set of the holomorphic correspondence is a locally eventually onto hyperbolic repeller, then the Hausdorff dime…
Dynamics of hyperbolic correspondences
Carlos Siqueira
This paper establishes the geometric rigidity of certain holomorphic correspondences in the family whose post-critical set is finite in any bounded domain of $\mathb…
Correspondences in complex dynamics
Shaun Bullett, Luna Lomonaco, Carlos Siqueira
This paper surveys some recent results concerning the dynamics of two families of holomorphic correspondences, namely defined by the relation $$\left( \fra…
Holomorphic motions for unicritical correspondences
Carlos Siqueira, Daniel Smania
We study quasiconformal deformations and mixing properties of hyperbolic sets in the family of holomorphic correspondences z^r +c, where r >1 is rational. Julia sets in this family…