6 citations · 16 across the 11 of their papers we have counts for
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math.DS2008★ 2 cited
Two counterexamples in rational and interval dynamics
Nicolae Mihalache
In rational dynamics, we prove the existence of a polynomial that satisfies the Topological Collet-Eckmann condition, but which has a recurrent critical orbit that is not Collet-Ec…
math.DS2008★ 6 cited
Julia and John revisited
Nicolae Mihalache
We show that Fatou components of a semi-hyperbolic rational map are John domains and that the converse does not hold. This generalizes a famous result of Carleson, Jones and Yoccoz…