Sat March 6th second Tetration mtg; Peter Walker's 1991 paper

[sheldonison]

Unfortunately I was not there during the zoom.

I wish everyone good health and succes with the zoom meetings.

I assume it is not recorded ?

I had the idea of a tetation meeting in 2020 in Belgium but yeah we know that timing was not very good.
Maybe later ? 

Anyway.
What was the outcome of the zoom meeting ?
I would like some info about it.
.... Tom Marcel Raes

Hi Tommy, 

It was a lot of fun to say hello to others interested in tetration.  James was on the call, but he was not feeling well so we mostly just thanked James for writing his paper.  Because James wasn't feeling well, we didn't actually review his paper, but I did share a couple of graphs of James's phi function which I also posted online.  I look forward to meeting you Tommy, maybe at our next zoom meeting.  I'm thinking the next zoom meeting will be largely a historical overview, starting with Walker's 1991 paper, and continuing from there.  We could venture into a discussion of Kneser's conformal mapping, 1-cyclic mappings, Henryk's uniqueness criterion, Jay's accelerated technique, nowhere analytic functions and the base change function, a discussion of large numbers from Robert Munafo's website, Kouznetsov's contour integral technique, and recent papers by William Paulsen.  That is enough material to keep us busy for many sessions, which is why I view these Tetration meetings as monthly.  I think its a good idea to record the zoom meeting; I'll do that next time.

I would like to interleave historical overviews of Tetration with member's presentations of their ideas.  The last meeting covered James Nixon's paper.  The next monthly meeting is a historical overview starting with Walker's paper.  Maybe the one after that will be be a presentation by MphLee or Tommy.  

I was inspired enough by the zoom meeting and talking with James and Henryk to finally get MikTex installed and working on my laptop.  So now I'm working on my long overdue paper that will include also include a rigorous proof that one of my pari-gp matrix based slog programs converges to Kneser's conformal mapping of the Schroeder equation!  I might be ready to present and/or publish in about two to three months.  I've been thinking about this paper for at least four years, ever since I added a Matrix slog solution to fatou.gp with Kneser's conformal mapping of the Schroeder equation embedded inside of it.  I had to overcome dozens of hurdles before I could imagine publishing a rigorous proof of convergence and in the end the proof applies to a different simpler pari-gp matrix superlog program 

I look forward to seeing everyone again next month; our second zoom meeting will be Sat Mar 6th, also 1800 GMT; 1pm east coast time.   

https://us02web.zoom.us/j/89038247428?pwd=UFo1dmVGT21YTHpSbTNqUjMyazUzQT09
Meeting ID: 890 3824 7428
Passcode: 322183