7 citations · 22 across the 18 of their papers we have counts for
5 papers · 1 filter
Non-recurrent parameter rays of the Mandelbrot set
Yan Gao, Jinsong Zeng
In this paper, we prove that any parameter ray at a non-recurrent angle lands at a non-recurrent parameter with a characteristic angle of ; and conversely, every n…
A characterization of Sierpinski carpet Rational maps
Yan Gao, Jinsong Zeng, Suo Zhao
In this paper, we prove that a postcritically finite rational map with non-empty Fatou set is Thurstion equivalent to an expanding Thurston map if and only if its Julia set is home…
Invariant Jordan curves of Sierpiski carpet rational maps
Yan Gao, Peter Haïssinsky, Daniel Meyer +1
In this paper, we prove that if is a postcritically finite rational map with Julia set homeomorphic to the Sierpiński carpet, t…
On thurston's core entropy algorithm dedicated to the memory of tan lei
Yan Gao
The core entropy of polynomials, recently introduced by W. Thurston, is a dy-namical invariant extending topological entropy for real maps to complex polynomials, whence providing…
Rational maps as Schwarzian primitives
Guizhen Cui, Yan Gao, Lei Tan +1
We study necessary and sufficient conditions for a meromorphic quadratic differential with prescribed poles to be the Schwarzian derivative of a rational map. We give geometric int…