• Publications
  • Influence
Fixed points and circle maps
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Convergence or generic divergence of the Birkhoff normal form
We prove that the Birkhoff normal form of hamiltorlian flows at a nonresonant singular point with given quadratic part is always convergent or generically divergent. The same result is proved for theExpand
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Double spend races
TLDR
We correct the double spend race analysis given in Nakamoto's foundational Bitcoin article and give a closed-form formula for the probability of success of a double spend attack using the Regularized Incomplete Beta Function. Expand
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On profitability of selfish mining
TLDR
We review the so called selfish mining strategy in the Bitcoin network and compare its profitability to honest mining even after a difficulty adjustment. Expand
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Selfish Mining in Ethereum
We study selfish mining in Ethereum. The problem is combinato-rially more complex than in Bitcoin because of major differences in the reward system and a different difficulty adjustment formula.Expand
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Total Convergence or General Divergence¶in Small Divisors
Abstract: We study generic holomorphic families of dynamical systems presenting problems of small divisors with fixed arithmetic. The characteristic features are delicate problems of convergence ofExpand
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Solution complète au problème de Siegel de linéarisation d'une application holomorphe au voisinage d'un point fixe (d'après J.-C. Yoccoz)
© Société mathématique de France, 1992, tous droits réservés. L’accès aux archives de la collection « Astérisque » (http://smf4.emath.fr/ Publications/Asterisque/) implique l’accord avec lesExpand
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Ant routing algorithm for the Lightning Network
TLDR
We propose a decentralized routing algorithm that can be implemented in Bitcoin Lightning Network. Expand
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Bitcoin and Decentralized Trust Protocols
Bitcoin is the first decentralized peer-to-peer (P2P) electronic currency. It was created in November 2008 by Satoshi Nakamoto. Nakamoto released the first implementation of the protocol in an openExpand
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On Profitability of Nakamoto double spend
TLDR
Nakamoto double spend strategy, described in Bitcoin foundational article, leads to total ruin with positive probability and does not make sense from the profitability point of view. Expand
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