Yi-Chiuan Chen

activity

20182023

most citedSimple Proofs for the Derivative Estimates of the Holomorphic Motion near Two Boundary Points of the Mandelbrot Set

5 citations · 6 across the 4 of their papers we have counts for

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2 papers · 1 filter

math.DS2018★ 5 cited

Simple Proofs for the Derivative Estimates of the Holomorphic Motion near Two Boundary Points of the Mandelbrot Set

Yi-Chiuan Chen, Tomoki Kawahira

For the complex quadratic family $q_{c} : z \mapsto z^{2} + c$ , it is known that every point in the Julia set $J (q_{c})$ moves holomorphically on $c$ except at the boundary points of the Mand…

math.DS2018★ 1 cited

From Cantor to Semi-hyperbolic Parameter along External Rays

Yi-Chiuan Chen, Tomoki Kawahira

For the quadratic family $f_{c} (z) = z^{2} + c$ with $c$ in the exterior of the Mandelbrot set, it is known that every point in the Julia set moves holomorphically. Let $c^$ be a…