03/21/2021, 12:51 PM

Howdy,

My limited understanding of people's progress at extending tetration on this forum is that proof of convergence is the main problem. Would it be correct to say that once there is a solid convergence proof, that there would then be a number of useful proofs on extending tetration.

What progress has been made at identifying which approaches extend tetration in the same manner? While I don't have a formal proof, I note I have the same experimental results as the following:

R. Aldrovandi and L. P. Freitas,

Continuous iteration of dynamical maps,

J. Math. Phys. 39, 5324 ( 1998 )

Thanks,

Daniel

My limited understanding of people's progress at extending tetration on this forum is that proof of convergence is the main problem. Would it be correct to say that once there is a solid convergence proof, that there would then be a number of useful proofs on extending tetration.

What progress has been made at identifying which approaches extend tetration in the same manner? While I don't have a formal proof, I note I have the same experimental results as the following:

R. Aldrovandi and L. P. Freitas,

Continuous iteration of dynamical maps,

J. Math. Phys. 39, 5324 ( 1998 )

Thanks,

Daniel