212 citations · 848 across the 74 of their papers we have counts for
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math.DS2009
On the geometry of Julia sets
O. Costin, M. Huang
We show that the Julia set of quadratic maps with parameters in hyperbolic components of the Mandelbrot set is given by a transseries formula, rapidly convergent at any repelling p…
math.DS2006
Analytic methods for obstruction to integrability in discrete dynamical systems
O. Costin, M. D. Kruskal
A unique analytic continuation result is proved for solutions of a relatively general class of difference equations, using techniques of generalized Borel summability. This continu…