3 citations · 10 across the 12 of their papers we have counts for
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math.CV2014★ 1 cited
A Poincaré-Bendixson theorem for meromorphic connections on Riemann surfaces
Marco Abate, Fabrizio Bianchi
We prove a Poincaré-Bendixson theorem describing the asymptotic behavior of geodesics for a meromorphic connection on a compact Riemann surface. We shall also briefly discuss the c…
math.DS2014
Dynamical stability and Lyapunov exponents for holomorphic endomorphisms of CP(k)
François Berteloot, Fabrizio Bianchi, Christophe Dupont
We introduce a notion of stability for equilibrium measures in holomorphic families of endomorphisms of CP(k) and prove that it is equivalent to the stability of repelling cycles a…