Dynamical Systems and Number Theory

[MphLee]

Check out the article on Dynamical Systems and Number Theory . I don't see a direct connection to tetration, but this is a group of folks that might be interested in our work.
Daniel

Great article, thanks for sharing. Probably, I'd say that we might be interested in their work.
They lost me when they introduced the Jacobian of the polynomial but  that's ok hahah .
It is remarkable that what I'm doing with superfunctions uses alot of discrete dynamics, heigts and torsion points. A bridge toward number theory (who is bridged itself to differential geometry and shapes like tori and stuff like that) seems interesting.

Just an observation. I believe that the approach of this forum to tetration has always been too narrow. This is also a reason why this forum is not mainstream and is looked over by many outsiders as a cave of crackpotish fanatics. It obviously isn't but, I mean, I'm not insulting ppl here since it is already enough hard and time consuming to explore 1 or 2 points of view for non-professionals like us.

Now that the computational and pure dynamical pov on tetration/hyperoperations was explored it is time now to explore the topic from new points of view: JmsNxn's compositional calculus is one great attempt but more is needed on the topological and algebraic pov. For example more should be invested in lifting up Gottfried and Aldrovandi matrix approach to a full formalism that involves linear operators on inf. dimensional spaces.
Another point that imho needs to be developed is the link with set partitions numbers for the coefficients that Daniel studied. Why? Because I feel, conjecture, it is linked deeply with topological invariants and algebraic topology/number theory....

Also much of the known dynamics/iteration theory results here in the forum should be rephrased in a more unified and modern language (category theory).
It's a grandiose program... maybe the forum needs more marketing...