1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.DS2019
Structural Instability of Semi-Siegel Hénon maps
Michael Yampolsky, Jonguk Yang
We show that the dynamics of sufficiently dissipative semi-Siegel complex Hénon maps with golden-mean rotation number is not -stable in a very strong sense. By the work of Dujar…
math.DS2019★ 1 cited
Renormalization in the Golden-Mean Semi-Siegel Hénon Family: Non-Quasisymmetry
Jonguk Yang
For quadratic polynomials of one complex variable, the boundary of the golden-mean Siegel disk must be a quasicircle. We show that the analogous statement is not true for quadratic…
math.DS2017
Renormalization in the Golden-Mean Semi-Siegel Hénon Family: Universality and Non-Rigidity
Jonguk Yang
It was recently shown by Gaidashev and Yampolsky that appropriately defined renormalizations of a sufficiently dissipative golden-mean semi-Siegel Hénon map converge super-exponent…