Scientists continue to ruin everything.
I’m not sure if the wtf is this presumably receiving funding, they thought it was worth studying, that it was peer-reviewed and published, or that they don’t understand what “infinite” means.
Well, it'll not exactly be "dig a tunnel in Switzerland" amounts of funding. Two theoretical mathematicians spending time on this instead of <insert random hypothetical problem here> isn't really an expense. If that was a criteria of worth, we'd never bother with anything but
perhaps something like prime factorisation (though even that might have antivalue, as it potentially rips up cryptographic safeguards that currently let the world run relatively smoothly).
In the "bananas" example, I wonder if they modeled accurately the very real statistic possibility that a short section of alternating tapping might be more likely than seven completely different keys in a row (though "bananam" might be more likely, and something actually 'in a row', like "asdfghj", might be another statistical outlier happen for another reason).
I actually ran some similar (small scale) simulations on almost this same thing myself, years ago, for personal fun, so know from practical experience (as well as trivial mathematical prediction) that there's an (almost) exponential growth of time needed to add subsequent 'correct' characters, but that there are ill-defined but very likely "shortcuts" too. If you've happened to type "to be", then it's not unlikely that you will type that again after a quick diversionary "or not", and it's not such a random walk that makes it unlikely to ever type "Hamlet" or "Falstaff" as much as necessary to mark up the typescript (with or without proper spacing or indentation - I presume they weren't looking for anything more than whitespace-agnostic streams of characters, maybe even ignored spaces/punctuation/line-numbers rather than aiming for anything like precise modern/First Folio exactitude of typesetting) with sufficiently correct consistency to the original markup. Doubtless the paper itself goes into this, if at all considered.
Also, are we bothered in which order the
individual works are generated? It reduces the effort needed considerably if we can happily have them out of chronological/folio/thematic order, rather than require a solid string of first-to-last with no diversions or easily rejectable garbage (or word-perfect scripts of The Matrix) in-between. Hopefully they spent their time wisely in assessing the relative necessities of such constraints or flexabilities.
I agree with you about infinity, but then I also facepalm a bit about the article's need to explain here that heat-death is the (in my words, how I might feel it better put) "death of all heat", and I'm not sure who to blame about that.
I also foresee a non-zero chance of an Ig-Nobel Prize.