Runze Zhang

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20222026

most citedParabolic Components in Cubic Polynomial Slice

P e r_{1} (1)

3 citations · 6 across the 7 of their papers we have counts for

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math.DS2022★ 2 cited

On Dynamical Parameter Space of Cubic Polynomials with a Parabolic Fixed Point

Runze Zhang

This article focus on the connected locus of the cubic polynomial slice $P e r_{1} (λ)$ with a parabolic fixed point of multiplier $λ = e^{2 π i \frac{p}{q}}$ . We first show that any parabol…

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…

math.CV2022★ 1 cited

On extension of closed complex (basic) differential forms: (basic) Hodge numbers and (transversely) $p$ -Kähler structures

Sheng Rao, Runze Zhang

Inspired by a recent work of D. Wei--S. Zhu on the extension of closed complex differential forms and Voisin's usage of the $\partial \partial ˉ$ -lemma, we obtain several new th…

On Dynamical Parameter Space of Cubic Polynomials with a Parabolic Fixed Point

Parabolic Components in Cubic Polynomial Slice Per1​(1)

On extension of closed complex (basic) differential forms: (basic) Hodge numbers and (transversely) p-Kähler structures

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

On extension of closed complex (basic) differential forms: (basic) Hodge numbers and (transversely) $p$ -Kähler structures