I spent time working with cubic mappings. With two critical points, there
are Julia sets that consist of infinitely many disconnected components that
are still locally connected, corresponding two one critical point escaping
and one falling into one of the basins of attraction.
Of course that was about 15 years ago, and I haven't really kept up. Too
much time keeping up with software.
On 12/16/06, Jacques Carette
Steve Downey wrote:
No fair. Although I've a B.S. in Mathematics, I spent most of my time in complex analytic dynamical systems, rather than hanging with the algebraists. Except for a bit where I did some graph theory.
Never thought I'd run into a fellow dynamicist on haskell-cafe! I did my PhD on the links between the geometry and dynamics of Julia sets (co supervised by the (late) Adrien Douady and John Hubbard). What 'flavour' of this stuff are you interested in?
Jacques
PS: now I have converted to being a computer scientist, which is why I hang out on haskell-cafe!