Runze Zhang

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20222025

most citedParabolic Components in Cubic Polynomial Slice

P e r_{1} (1)

3 citations · 3 across the 2 of their papers we have counts for

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math.DS2025

Parabolic Implosion in the Parameter Space of Cubic Polynomials

Runze Zhang

Parabolic implosion describes the enrichment of Julia sets when a parabolic fixed point is perturbed. It is also natural to study parabolic implosion in parameter spaces. In partic…

math.DS2022★ 3 cited

Parabolic Components in Cubic Polynomial Slice $P e r_{1} (1)$

Runze Zhang

We prove that the boundary of every parabolic component in the cubic polynomial slice $P e r_{1} (1)$ is a Jordan curve by adapting the technique of para-puzzles presented in \cite{Roes…

Parabolic Implosion in the Parameter Space of Cubic Polynomials

Parabolic Components in Cubic Polynomial Slice Per1​(1)

Parabolic Components in Cubic Polynomial Slice $P e r_{1} (1)$