User blog comment:Deedlit11/The slow-growing hierarchy and other hierarchies/@comment-78.22.170.27-20130619191359/@comment-157.193.53.9-20130620085345

Dear everybody,

I put on my homepage a link on the paper with Buchholz under current research projects. The article appeared in the Schwichtenberg retirement volume. The fast growing hierarchy is by the way more stable under variations of fundamental sequences. That can be seen from a joint paper with Buchholz and Cichon from 1994. I have more results on the slow growing hierarchy available. But until now I thougt that the general interest would be limited.

I also have results on phase transitions for fast growing hierarchies (which rely on the slow growing hierarchy). Instead of $F_{\alpha+1}(n)=F_\alpha^n(n)$ one can define $F_{\alpha+1}(n)=F_\alpha^{h(n)}(n)$ and can investigate how the resulting hierarchy depends on $h$. I have obtained an almost complete picture for this question.

Best,

Andreas Weiermann