6 citations · 12 across the 6 of their papers we have counts for
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math.DS2016
Irreducibility of the set of cubic polynomials with one periodic critical point
Matthieu Arfeux, Jan Kiwi
The space of monic centered cubic polynomials with marked critical points is isomorphic to C^2. For each n>0, the locus Sn formed by all polynomials with a specified critical point…
math.DS2016★ 4 cited
Arbitrary large number of non trivial rescaling limits
Matthieu Arfeux, Guizhen Cui
We construct a family of rational map sequences providing an arbitrary large number of dynamically independent rescaling limits of non monomial type. From this, we deduce the exist…