On the Julia set of a typical quadratic polynomial with a Siegel disk

By C. Petersen, S. Zakeri. 2004

103 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics, Theoretical Computer Science

View Paper: https://www.semanticscholar.org/paper/a81b7d91a75b71b14a1d044b35311fce7bc253ef

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Weiyuan Qiu
2. Yongcheng Yin

In Mathematical Physics

1. Weiyuan Qiu
2. Yongcheng Yin

In Theoretical Computer Science

1. Yongcheng Yin
2. Weiyuan Qiu

Citations in the corpus

• Proof of the Branner-Hubbard conjecture on Cantor Julia sets (2006, methodology): “Other puzzles are used to prove local connectivity of the Julia sets of some quadratic Siegel polynomials and cubic Newton maps, see [29], [30], [31] and [32].”
• Quadratic Julia Sets with Positive Area (2006, unknown): “α = a0 + 1 a1 + 1 a2 + ... with logan = O( √ n) ([ PZ ]).2”