5 citations · 16 across the 13 of their papers we have counts for
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math.DS2016★ 1 cited
Mating quadratic maps with the modular group II
Shaun Bullett, Luna Lomonaco
In 1994 S. Bullett and C. Penrose introduced the one complex parameter family of holomorphic correspondences : $$\left(\frac{aw-1}{w-1}\right)^2+\left(\frac{…
math.DS2016★ 4 cited
A rigidity result for some parabolic germs
Luna Lomonaco, Sabyasachi Mukherjee
The goal of this article is to prove a rigidity result for unicritical polynomials with parabolic cycles. More precisely, we show that if two unicritical polynomials have conformal…
math.DS2016★ 2 cited
On parabolic external maps
Luna Lomonaco, Carsten Petersen, Weixiao Shen
We prove that any degree circle covering having all periodic orbits weakly expanding, is conjugate in the same smoothness class to a metrically expanding…