sipa changed the topic of #bitcoin-wizards to: This channel is for discussing theoretical ideas with regard to cryptocurrencies, not about short-term Bitcoin development | http://bitcoin.ninja/ | This channel is logged. | For logs and more information, visit http://bitcoin.ninja
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<nsh>
hmm
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<nsh>
that the probability a random matrix with entries from a continuous space is singular is zero follows topologically from Zariski (the preimage of the zero determinant is a zero set of solutions to a multivariate polynomial in n^2 variables for a n x n matrix and is a closet set but the only closed set with non-zero measure is the whole interval)
<nsh>
but why is should converge to something like sqrt(1/12) for GF(2) is quite a bit more baffling
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<sipa>
for increasing prime p, the chance that a random matrix over GF(p) is non-intertible converges towards 1/p
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<gleb>
I remember reading a paper where someone had a prototype of (traditional) sharding a Bitcoin Core node so that validators of big blocks can scale better. Does anyone remember it by chance?
<gleb>
I don't care about this work, but somebody I'm talking to wants to do something similar. So I wanted to point them to that work.
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