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math.DS2014
On Parameter Space of Complex Polynomial Vector Fields in the Complex Plane
Kealey Dias, Lei Tan
The space of degree d single-variable monic and centered complex polynomial vector fields can be decomposed into loci in which the vector fields have the same topological structure…
math.DS2014★ 2 cited
Renormalizations and wandering Jordan curves of rational maps
Guizhen Cui, Wenjuan Peng, Lei Tan
We realize a dynamical decomposition for a post-critically finite rational map which admits a combinatorial decomposition. We split the Riemann sphere into two completely invariant…