Beginning2019-05-20 16:00:00
Ending2019-05-20 17:00:00
Event titleColloquium-From Cantor to Semi-hyperbolic Parameters along External Rays
Speaker陳怡全 研究員 (中央研究院)
PlaceLecture Room B, 4th Floor, The 3rd General Building
DescriptionClick here to read
Attached file File download Adobe PDF
Reference link 
For the quadratic family f_c (z) = z^2+c with c in the exterior of the Mandelbrot set, it is well-known that every point in the Julia set moves holomorphically when c varies. Let \hat{c} be a semi-hyperbolic parameter in the boundary of the Mandelbrot set. In this talk, I shall show that for each z = z(c) in the Julia set, the derivative dz(c)/dc is uniformly O(1/\sqrt{|c-\hat{c}|}) when c belongs to a parameter ray that lands on \hat{c}. I shall also discuss the degeneration of the dynamics along the parameter ray.
Last Update Time2019-05-13 09:16:47
Decorative image
cron web_use_log