School of Mathematical Sciences

Advances in holomorphic dynamics menu

Advances in holomorphic dynamics

Speaker: 
Xavier Buff (Toulouse)
Date/Time: 
Mon, 07/03/2011 - 16:30
Room: 
M103
Seminar series: 


The study of sequences obtained by iterating polynomials in the complex plane
or rational maps in the Riemann sphere is at the origin of beautiful fractal
sets, such as the Mandelbrot set or Julia sets. I will present old and new
problems in the subject and will explain which tools or techniques are used
to attack those problems. For example, what is the long term behavior of a
sequence whose initial point is chosen at random? Or what does the Julia set
of a randomly chosen polynomial look like?