That's the whole thing. It was in AJP's Q&A section that was sort of like a print version of Quora.
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Replying to @mattmcirvin @johncarlosbaez and
(I don't know where that image came from that is in the thumbnail.)
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Replying to @mattmcirvin @johncarlosbaez and
Anyway, it was a good question, it deserved a good answer.
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Replying to @mattmcirvin @mpoessel and
It's a good question. The answer involving a white hole would be a bit terrifying to most people. By the way, where you around on G+ when Greg Egan, Phil Gibbs and I were discussing the behavior of white holes? I think someone needs to popularize that stuff.
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Replying to @johncarlosbaez @mpoessel and
Yeah, I was in that conversation. Don't know if most of it got saved by anyone (I could only archive my own articles and the comments thereunto).
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Replying to @mattmcirvin @mpoessel and
I think I've got it saved somewhere. I tried to save all "my" stuff... but I haven't bothered to look at it. I have very vague plans to write something with Phil Gibbs about white holes... if we ever do we should talk about them publicly.
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Replying to @johncarlosbaez @mpoessel and
I've had notions of putting together some of my G+ recreational-mathematics material into more coherent articles. My one marginally significant discovery ( https://oeis.org/A225984 ) already got described pretty well in a post by Rich Holmes:https://mathematrec.wordpress.com/tag/mcirvin/
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Replying to @mattmcirvin @johncarlosbaez and
(see also my comments there, which clarify a few things)
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Replying to @mattmcirvin @johncarlosbaez and
I *did* write a series of Dreamwidth blog posts expanding on some stuff I'd done back in G+ days about the Thue-Morse sequence and related subjects (inspired by Owen Maresh's experiments with recursively nested fractions, and stranger beasts): https://mmcirvin.dreamwidth.org/499645.html
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Replying to @mattmcirvin @johncarlosbaez and
For what it's worth: we have some idea how related theta series fit into these: we know they have to do with automatic groups. We know that there are two endomorphisms, one of which is an inclusion, the other kind of blurry. see my answer to:https://math.stackexchange.com/questions/3293507/is-there-a-known-function-defined-by-the-sum-of-x2n/3297876#3297876 …
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the inclusion takes any stage m greater than n, and includes n in it the blurrier one says "blur any two stages, they resemble one another". both of these can, for the related power series, amount to explicit operations upon them
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Replying to @graveolens @mattmcirvin and
for what it's worth: my current aim with these (generally) is to build something to distinguish bifurcation cascades in the 4.669.. universality class by looking at infinite products analogous to the ones for automatic groups. (Rostislov Grigorchuk might be worth a look)
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