Summary of Problems
First of all, it's obvious that in the previous pages, the blowup to infinity is very simplistic. It's similar to the positive reals in that the domain can go to infinity in unnaturally few directions. The exponential functions must be generalized for all blowups. The formula for doing this is to define Ea(i)=limn->infinity(Ea(Fi-nFwn...Fw1(x))/Ea(Fi-nFwn...Fw1(q0)). This is saying to use the old formula of the exponential but normalize it so that the function equals 1 at qi. Professor Strichartz proved this converges. on the next page I have pictures of what this function looks like.
On the 0-1 blowup (the blowup where w=(0,1,0,1,...)), there is also a level function. Simply apply La on each blowup along the way and you have immediate convergence.
There is also the problem of a singular boundary point on the original blowup, or a more general point for that matter.
Also, the case of a0=2 is discussed on the next page.Other bizarre a0 values are those which lie in the Julia set of x(5-x).