06/21/2011, 01:48 AM
(This post was last modified: 06/21/2011, 04:30 PM by sheldonison.)

(06/20/2011, 09:22 PM)bo198214 Wrote: I didnt dive into the details yet, but the approach looks very promising.Thanks Henryk. I look forward to your feedback on how to tighten up this proof. Also, I didn't realize that the uniqueness criteria for Kneser's solution had not been proven! I think I may need to separate the more complicated case where has singularities as , since at the singularity, may only be growing arbitrarily large in the real direction, and not the imaginary direction. Ideally, it would be possible to show that a nearly identical singularity will always show up in , but this is clearly a more complicated case.

I am really excited, this seems something that wasnt yet discovered (though one never knows in holomorphic dynamics).

Sheldon, you are our man!

- Sheldon