Source: https://webusers.imj-prg.fr/~ricardo.perez-marco/
Timestamp: 2019-04-23 17:03:33+00:00

Document:
Double spend races (with C. Grunspan), International Journal of Theoretical and Applied Finance (IJTAF), 21, 8, 2018.
Unified treatment of Explicit and Trace Formulas via Poisson&dash;Newton Formula (with V. Muñoz), Comm. Math. Phys., 336, p.1201-1230, 2015.
Ergodic Solenoidal Homology: Realization Theorem (with V. Muñoz), Comm. Math. Phys., 302, p.737-753, 2011.
The Product over all Primes is 4π2 (with E. Muñoz), Comm. Math. Phys., 227, p.68-81, 2008.
Convergence or generic divergence of Birkhoff normal form, Annals of Mathematics, 157, p.557-574, 2003.
Total Convergence or General Divergence in Small Divisors, Comm. Math. Phys., 223, p.451-464, 2001.
Fixed points and circle maps, Acta Mathematica, 179, p.243-294 ,1997.
Non-linearizable holomorphic dynamics having an uncountable number of symmetries, Inventiones Math., 119 , p.67-128, 1995.
Sur une question de Dulac et Fatou, Comptes Rendus Académie des Sciences de Paris, 321 , Série I, p.1045-1048, 1995.
Sur les dynamiques holomorphes non linéarisables et une conjecture de V. I. Arnold, Ann. Sci. Ec. Norm. Sup., 4ème Série, 26, 5, p.565-644, 1993.
Selfish Mining and Dyck Words in Bitcoin and Ethereum Networks (with C. Grunspan), ArXiv 1904.07675, 2019.
The Ramificant Determinant (with K. Biswas), ArXiv 1903.06770, hal-02072156, 2019.
Bitcoin Selfish Mining and Dyck Words (with C. Grunspan), ArXiv 1902.01513, 2019.
On profitability of trailing mining (with C. Grunspan), ArXiv 1811.09322, 2018.
On profitability of stubborn mining (with C. Grunspan), ArXiv 1808.01041, 2018.
Ant routing algorithm for the lightning network (with C. Grunspan), ArXiv 1807.00151, 2018.
On profitability of selfish mining (with C. Grunspan), ArXiv 1805.08281, hal-01794067, mp-arc 18-63, 2018.
Solution to Briot and Bouquet problem on singularities of differential equations, ArXiv 1802.03630, hal-01707628, 2018.
On quasi-invariant curves, ArXiv 1802.06726, hal-0171069, 2018.
Notes on the Riemann Hypothesis, ArXiv 1707.01770, 2017.
Satoshi Risk Tables (with C. Grunspan), hal-01465634, mp-arc 17-19, ArXiv 1702.04421, 2017.
Double spend races (with C. Grunspan), hal-01456773, mp-arc 17-17, ArXiv 1702.02867, 2017.
Blockchain time and Heisenberg Uncertainty Principle, hal-01401871, mp-arc 16-92, 2016.
Bitcoin and Decentralized Trust Protocols, Newsletter of the European Math. Soc., 100 p.32, 2016.
Unified treatment of Explicit and Trace Formulas via Poisson&dash;Newton Formula (with V. Muñoz), Commun. Math. Phys., 336 , p.1201-1230, 2015.
On the genus of meromorphic functions (with V. Muñoz), Proc. of the A.M.S., 143 , 1 , p.341-351, 2015.
Degenerate conformal structures, ArXiv 1405.5816, 2014.
A simple dynamical model leading to Pareto wealth distribution and stability, ArXiv 1409.4857, 2014.
Kelly criterion for variable pay-off, ArXiv 1409.4857, 2014.
On Pareto theory of circulation of elites, ArXiv 1412.4695, 2014.
On the profitability of blockwithholding strategies, Symposium on Cryptocurrency Analysis (SOCCA), Toulouse, December 2018.
Blockchain time and Heisenberg uncertainty principle, Computing Conference 2018, London, July 2018.
Ant routing for the lightning network, Building on Bitcoin, Lisbon, July 2018.
Caratheodory deformations of log-Riemann surfaces, Algebraic Methiods on Dynamical Systems (AMDS2018), Madrid, June 2018.
Holomorphic and symplectic hedgehogs and persistence of invariant sets, BeKAM, Cargèse, Corsica, May 2018.
Bitcoin y protocolos de confianza descentralizados, Hoy Es Marketing (HEM), Madrid, April 2018.
Cameo con Macarena Estevez sobre Bitcoin, Hoy Es Marketing (HEM), Madrid, April 2018.
Seguridad y descentralización de las blockchains, Avalbit, Valencia, April 2018.
Solution to Briot and Bouquet problem on singularities of differential equations, Sém. Dynamique, Jussieu, Paris, February 2018.
On instabilities of the Bitcoin protocol, DLT Workshop, Perugia, Italy, February 2018.
Double spend races, Stony Brook, New York, October 2017.
On instabilities of the Bitcoin protocol, Breaking Bitcoin Coonference, Video, Paris, September 2017.
Conditions optimales de linéarisation en Dynamique Quasi-périodique, Journée à la mémoire de J.-Ch. Yoccoz, Video, Collège de France, Paris, June 2017.
Open problems in hedgehog dynamics, Imperial College, London, December 2016.
Smart contracts, Lightning network and new developments in cryptofinance, Europarlament, Strasbourg, November 2016.
What is a blockchain?, Journée Société Informatique de France, Paris, November 2016.
An introduction to Bitcoin, Stony Brook, New York, September 2016.
A simple dynamical model leading to Pareto distribution and stability, Maison des Sciences Économiques, Paris, April 2016.
Unified treatment of Explicit and Trace Formulas, Sém. Géométrie Hamiltoniènne, Paris 7, December 2014.
La recherche académique dans l'écosyst&eg;me Blockchain, Table ronde Women In Blockchain, Paris, January 2019.
La era del Bitcoin y de la tecnología blockchain, El País Semanal, December 2018.
"In Memoriam" Jean-Christophe Yoccoz, Gaceta Matemática, vol. 21, 2, Real Sociedad Matemática Española, 2018.
Chers souvenirs de Jean-Christophe, Gazette des Mathématiciens, Numéro special J.-Ch. Yoccoz, 2018.
La blockchain et les cryptomonnaies : révolution ou tsunami ?, Bar des Sciences, March 2018.
FOCUS sur le Bitcoin, Radio France Internationale, Ariane Gaffuri, RFI, February 2018.
La revolución del Bitcoin, el recurso que nadie puede controlar, Programa "Entre líneas", Raquel Rero, Capital Radio, October 2017.
Le Bitcoin : son fonctionnement, ses applications et son futur, Podcast, The Trust Technology (TTT), Isabelle Pereira, October 2017.
Bitcoin y protocolos de confianza distribuidos, Bitcoin Meetup, Madrid, October 2017.
How Satoshi messed up his math (and how these academics just fixed it), Bitcoin Magazine, February 2017.
Bitcoin and Decentralized Trust Protocols, Newsletter of the European Math. Soc., 100, p.32, June 2016.
Blockchain : l’autre révolution venue du bitcoin, Journal du CNRS, May 2016.
Londres acoge la primera feria del bitcoin, El País, December 2013.
El bitcoin, imparable, Análisis, El País, November 2013.
Bitcoin: escrache al sistema monetario, Opinión, El País, April 2013.
Bitcoin: la revolución matemático-monetaria, Tribuna, El País, March 2013.
El polvo de polen que hace temblar los cimientos de las finanzas mundiales, Tribuna, El País, January 2008.
El 'blues' de lo que pasa en mi escalera, Tribuna: Circuito Científico, El País, September 2006.
Correction to Nakamoto's foundational Bitcoin paper (2008) and close-form formula for the probability of success of a double spend attack.
Explaining A. Selberg's analogy (1956) between Explicit Formulas in Number Theory and Trace Formulas.
Realizing geometrically real homology classes and giving a geometric form of De Rham Theorem (1931).
Extending the zeta product regularization in order to compute the product of primes that is found to be 4π2 answering a question of Ch. Soulé (1992).
Dichotomic answer on the question of H. Eliasson and J. Moser about the convergence of Birkhoff normal form.
Extending a result of Y. Ilyashenko from the cohomological equation to the non-linearized problem.
Discovery of hedgehogs associated to indifferent fixed points in holomorphic dynamics and its applications to the solution of several classical problems from H. Dulac (1904), C.-L. Siegel (1956), R. Moussu (1991), etc.
Construction of uncountable abelian groups of non-linearizable dynamics with applications to solution of question of H. Rosenberg and W. Thurston (1971), and J. Moser and M.R. Herman (1980).
Application of hedgehogs to the solution of a problem from P. Fatou (1918), H. Dulac (1904), and C. Briot and J.-C. Bouquet (1856).
Solution to the V. I. Arnold Conjecture of the accumulation by small cycles for non-linearizable circle diffeomorphisms (1958) and P. Sad conjecture (1980) for holomorphic germs.
Journée Bitcoin-Blockchain. Institut Henri Poincaré, 16th November 2016.
Demi-Journée Bitcoin. ESSEC, 10 Mai 2016.
Basic resources on the Bitcoin protocol.
Material for the hedgehog dynamics course.

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