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20142020
most citedLocal Connectivity of Polynomial Julia sets at Bounded Type Siegel Boundaries

2 citations · 5 across the 7 of their papers we have counts for

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Showing 2019Show all

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math.DS2019★ 1 cited

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…