212 citations · 848 across the 74 of their papers we have counts for
4 papers · 1 filter
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…
Gamow vectors and Borel summability
Ovidiu Costin, Min Huang
We analyze the detailed time dependence of the wave function for one dimensional Hamiltonians where (for example modeling barriers or wells) and…
Ionization in damped time-harmonic fields
O. Costin, M. Huang, Z. Qiu
We study the asymptotic behavior of the wave function in a simple one dimensional model of ionization by pulses, in which the time-dependent potential is of the form $V(x,t)=-2δ(x)…
Boundary blow-up solutions in the unit ball : asymptotics, uniqueness and symmetry
Ovidiu Costin, Louis Dupaigne
We calculate the full asymptotic expansion of boundary blow-up so- lutions, for any nonlinearity f . Our approach enables us to state sharp qualitative results regarding uniqueness…