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The mathematics of Bitcoin
March 02, 2020 Β· Declared Dead Β· π EMS Newsletter
"No code URL or promise found in abstract"
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Authors
Cyril Grunspan, Ricardo PΓ©rez-Marco
arXiv ID
2003.00001
Category
math.HO
Cross-listed
cs.CR
Citations
20
Venue
EMS Newsletter
Last Checked
3 months ago
Abstract
We survey recent results on the mathematical stability of Bitcoin protocol. Profitability and probability of a double spend are estimated in closed form with classical special functions. The stability of Bitcoin mining rules is analyzed and several theorems are proved using martingale and combinatorics techniques. In particular, the empirical observation of the stability of the Bitcoin protocol is proved. This survey article on the mathematics of Bitcoin is published by the Newsletter of the European Mathematical Society, vol.115, 2020, p.31-37. Continuation of arXiv:1601.05254 (EMS Newsletter, 100, 2016 p.32).
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