Are six confirmations really enough?
An exact derivation of double-spend risk, an interactive simulator compared with Nakamoto’s approximation, and reproducible thresholds for assumed adversarial hash shares.
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Research Articles
Welcome to a selection of articles that share considered reflections, put ideas to the test, and make both their sources and limitations explicit.
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Blockchain and Bitcoin
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Mathematics
Why randomness returns in 2D—but may escape in 3D
A proof of Pólya’s theorem, a reproducible return-probability calculation, and a precise account of why dimension matters.
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Quantitative finance
Square-root-of-time: rule or shortcut?
A proof and six stress tests showing when multiplying daily risk by √10 is exact, conservative or dangerous.
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