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07:31 < Aaronvan_> did anyone actually look into that paper jonasschnelli posted here a couple of days ago? https://arxiv.org/pdf/1702.02867.pdf
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07:35 < kanzure> yes, read the logs
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07:46 < Aaronvan_> kanzure: I literally only saw one comment from taek (that it had a nice table). did I miss something?
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07:49 < kanzure> yes? bsm1175321 was talking about it
07:49 < Aaronvan_> yeah I just found it; thanks
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12:09 < oleganza> Hey there! We have published some research on soundness improvements to multi-asset confidentiality. I thought that folks here might be interested: https://blog.chain.com/preparing-for-a-quantum-future-45535b316314
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15:08 < dgenr8> bsm117532: That paper says "The random variables T and T' are clearly independent." How so? They vary inversely, which seems pretty dependent to me.
15:10 < bsm117532> dgenr8: those are the mining times of two blocks, so are independent.  How could they vary inversely?
15:12 < dgenr8> they are random variables representing honest and attacker block production
15:12 < bsm117532> Which page/formula are you looking at?
15:13 < bsm117532> bottom of page 3...
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15:13 < bsm117532> Both the honest and attacker have a probability to mine the block given by one parameter, \alpha
15:14  * nsh nods
15:14 < bsm117532> The honest miner's probability of finding a block in a given window is independent of all other hashpower.
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15:14 < nsh> this is still an approximation over multiple blocks
15:15 < nsh> (as there is some inter-dependence due to difficulty changes)
15:18 < bsm117532> After a difficulty change the targets change for everyone but the same formulas apply.
15:18 < bsm117532> There is certainly game theory surrounding whether you try to reorg one block before the retarget though...
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15:29 < bsm117532> nsh: technically, the probabilities of finding blocks in such a circumstance are still independent, but no longer identically distributed (because the honest miner and attacker may be mining for two different targets -- before and after the retarget)
15:32 < nsh> right, the distributions for the sequences of independent events are not independent :)
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16:13 < dgenr8> The third equation on page 6 differs from the Nakamoto formula, yet claims to restate it.  It is off by one in the upper summation index.
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16:33 < dgenr8> Ah, doesn't matter. When k=z the addend is zero.
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