Edit Profile (opens in new tab) Pérez-Marco, Ricardo Compute Distance To: Compute Author ID: perez-marco.ricardo Published as: Pérez-Marco, Ricardo; Pérez Marco, Ricardo; Perez-Marco, Ricardo; Marco, Ricardo Pérez; Perez Marco, Ricardo; Pérez-Marco, R.; Pérez Marco, R. more...less Homepage: https://webusers.imj-prg.fr/~ricardo.perez-marco/ External Links: MGP · Wikidata · Google Scholar · dblp · IdRef · theses.fr Awards: EMS Prize (1996) Documents Indexed: 34 Publications since 1991 Co-Authors: 15 Co-Authors with 18 Joint Publications 260 Co-Co-Authors all top 5 Co-Authors 14 single-authored 9 Muñoz Velázquez, Vicente 4 Grunspan, Cyril 3 Biswas, Kingshook 1 Barsky, Daniel 1 Chéritat, Arnaud 1 El Amrani, Mohammed 1 Godillon, Sébastien 1 Granger, Michel 1 Hubbard, John Hamal 1 Loday, Michèle 1 Loeb, Jean-Jacques 1 Petersen, Carsten Lunde 1 Roesch, Pascale 1 Yoccoz, Jean-Christophe 1 Zinsmeister, Michel all top 5 Serials 4 Communications in Mathematical Physics 3 Comptes Rendus de l’Académie des Sciences. Série I 2 European Mathematical Society Newsletter 1 Acta Arithmetica 1 Acta Mathematica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Gazette des Mathématiciens 1 Inventiones Mathematicae 1 Proceedings of the American Mathematical Society 1 L’Enseignement Mathématique. 2e Série 1 Discrete and Continuous Dynamical Systems 1 Revista Matemática Complutense 1 International Journal of Theoretical and Applied Finance 1 Annals of Mathematics. Second Series 1 Probability in the Engineering and Informational Sciences 1 La Gaceta de la Real Sociedad Matemática Española 1 The Australian Journal of Mathematical Analysis and Applications 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications all top 5 Fields 15 Dynamical systems and ergodic theory (37-XX) 10 Functions of a complex variable (30-XX) 7 Manifolds and cell complexes (57-XX) 7 Global analysis, analysis on manifolds (58-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 History and biography (01-XX) 3 Number theory (11-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Difference and functional equations (39-XX) 2 Algebraic topology (55-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 191 times in 138 Documents Cited by ▼ Year ▼ Fixed points and circle maps. Zbl 0914.58027Pérez-Marco, Ricardo 48 1997 Convergence or generic divergence of the Birkhoff normal form. Zbl 1038.37048Pérez-Marco, Ricardo 24 2003 Total convergence or general divergence in small divisors. Zbl 1161.37331Pérez-Marco, R. 18 2001 On nonlinearizable holomorphic dynamics and a conjecture of V. I. Arnold. (Sur les dynamiques holomorphes non linéarisables et une conjecture de V. I. Arnold.) Zbl 0812.58051Pérez-Marco, Ricardo 15 1993 Non linearizable holomorphic dynamics having an uncountable number of symmetries. Zbl 0862.58045Pérez Marco, Ricardo 12 1995 Germs of holomorphic foliations with prescribed holonomy. (Germes de feuilletages holomorphes à holonomie prescrite.) Zbl 0809.32008Pérez-Marco, Ricardo; Yoccoz, Jean-Christophe 12 1994 Complete solution of Siegel’s linearisation problem of an application that is holomorphic in the neighborhood of a fixed point (after J.-C. Yoccoz). (Solution complète au problème de Siegel de linéarisation d’une application holomorphe au voisinage d’un point fixe [d’après J.-C. Yoccoz].) Zbl 0791.30019Pérez-Marco, Ricardo 10 1992 Log-Riemann surfaces, Carathéodory convergence and Euler’s formula. Zbl 1360.30031Biswas, Kingshook; Perez-Marco, Ricardo 10 2015 On a question of Dulac and Fatou. (Sur une question de Dulac et Fatou.) Zbl 0847.58060Pérez Marco, Ricardo 6 1995 Uniformization of simply connected finite type log-Riemann surfaces. Zbl 1360.30032Biswas, Kingshook; Perez-Marco, Ricardo 6 2015 Sur la structure des germes holomorphes non linéarisables. (On the structure of non-linearizable holomorphic germs). Zbl 0737.34004Perez Marco, Ricardo 3 1991 Double spend races. Zbl 1419.91669Grunspan, Cyril; Pérez-Marco, Ricardo 3 2018 Schwartzman cycles and ergodic solenoids. Zbl 1321.37017Muñoz, Vicente; Marco, Ricardo Pérez 3 2012 Ergodic solenoidal homology. II: Density of ergodic solenoids. Zbl 1175.37015Muñoz, Vicente; Pérez Marco, Ricardo 3 2009 Unified treatment of explicit and trace formulas via Poisson-Newton formula. Zbl 1362.30002Muñoz, Vicente; Pérez Marco, Ricardo 2 2015 Ergodic solenoids and generalized currents. Zbl 1246.37042Muñoz, Vicente; Pérez Marco, Ricardo 2 2011 The product over all primes is \(4\pi^{2}\). Zbl 1165.11072Muñoz García, E.; Pérez Marco, R. 2 2008 Ergodic solenoidal homology: Realization theorem. Zbl 1220.57021Muñoz, Vicente; Pérez-Marco, Ricardo 2 2011 Bitcoin and decentralised trust protocols. Zbl 1354.91102Pérez-Marco, Ricardo 2 2016 Selfish mining in ethereum. Zbl 07304453Grunspan, Cyril; Perez-Marco, Ricardo 1 2020 Centralisateurs non dénombrables de germes de difféomorphismes holomorphes non linéarisables de \((\mathbb{C},0)\). (Uncountable centralizers for non-linearizable holomorphic germs of diffeomorphisms of \((\mathbb{C},0)\)). Zbl 0755.58011Perez Marco, Ricardo 1 1991 On the genus of meromorphic functions. Zbl 1318.30045Muñoz, Vicente; Marco, Ricardo Pérez 1 2015 Hodge theory for Riemannian solenoids. Zbl 1254.58001Muñoz, Vicente; Pérez-Marco, Ricardo 1 2011 The mathematics of Bitcoin. Zbl 1432.91084Grunspan, Cyril; Pérez-Marco, Ricardo 1 2020 On the genesis of BBP formulas. Zbl 1476.11103Barsky, Daniel; Muñoz, Vicente; Pérez-Marco, Ricardo 1 2021 Intersection theory for ergodic solenoids. Zbl 1370.37049Muñoz, Vicente; Pérez-Marco, Ricardo 1 2014 The ramificant determinant. Zbl 1435.30132Biswas, Kingshook; Pérez-Marco, Ricardo 1 2019 On the genesis of BBP formulas. Zbl 1476.11103Barsky, Daniel; Muñoz, Vicente; Pérez-Marco, Ricardo 1 2021 Selfish mining in ethereum. Zbl 07304453Grunspan, Cyril; Perez-Marco, Ricardo 1 2020 The mathematics of Bitcoin. Zbl 1432.91084Grunspan, Cyril; Pérez-Marco, Ricardo 1 2020 The ramificant determinant. Zbl 1435.30132Biswas, Kingshook; Pérez-Marco, Ricardo 1 2019 Double spend races. Zbl 1419.91669Grunspan, Cyril; Pérez-Marco, Ricardo 3 2018 Bitcoin and decentralised trust protocols. Zbl 1354.91102Pérez-Marco, Ricardo 2 2016 Log-Riemann surfaces, Carathéodory convergence and Euler’s formula. Zbl 1360.30031Biswas, Kingshook; Perez-Marco, Ricardo 10 2015 Uniformization of simply connected finite type log-Riemann surfaces. Zbl 1360.30032Biswas, Kingshook; Perez-Marco, Ricardo 6 2015 Unified treatment of explicit and trace formulas via Poisson-Newton formula. Zbl 1362.30002Muñoz, Vicente; Pérez Marco, Ricardo 2 2015 On the genus of meromorphic functions. Zbl 1318.30045Muñoz, Vicente; Marco, Ricardo Pérez 1 2015 Intersection theory for ergodic solenoids. Zbl 1370.37049Muñoz, Vicente; Pérez-Marco, Ricardo 1 2014 Schwartzman cycles and ergodic solenoids. Zbl 1321.37017Muñoz, Vicente; Marco, Ricardo Pérez 3 2012 Ergodic solenoids and generalized currents. Zbl 1246.37042Muñoz, Vicente; Pérez Marco, Ricardo 2 2011 Ergodic solenoidal homology: Realization theorem. Zbl 1220.57021Muñoz, Vicente; Pérez-Marco, Ricardo 2 2011 Hodge theory for Riemannian solenoids. Zbl 1254.58001Muñoz, Vicente; Pérez-Marco, Ricardo 1 2011 Ergodic solenoidal homology. II: Density of ergodic solenoids. Zbl 1175.37015Muñoz, Vicente; Pérez Marco, Ricardo 3 2009 The product over all primes is \(4\pi^{2}\). Zbl 1165.11072Muñoz García, E.; Pérez Marco, R. 2 2008 Convergence or generic divergence of the Birkhoff normal form. Zbl 1038.37048Pérez-Marco, Ricardo 24 2003 Total convergence or general divergence in small divisors. Zbl 1161.37331Pérez-Marco, R. 18 2001 Fixed points and circle maps. Zbl 0914.58027Pérez-Marco, Ricardo 48 1997 Non linearizable holomorphic dynamics having an uncountable number of symmetries. Zbl 0862.58045Pérez Marco, Ricardo 12 1995 On a question of Dulac and Fatou. (Sur une question de Dulac et Fatou.) Zbl 0847.58060Pérez Marco, Ricardo 6 1995 Germs of holomorphic foliations with prescribed holonomy. (Germes de feuilletages holomorphes à holonomie prescrite.) Zbl 0809.32008Pérez-Marco, Ricardo; Yoccoz, Jean-Christophe 12 1994 On nonlinearizable holomorphic dynamics and a conjecture of V. I. Arnold. (Sur les dynamiques holomorphes non linéarisables et une conjecture de V. I. Arnold.) Zbl 0812.58051Pérez-Marco, Ricardo 15 1993 Complete solution of Siegel’s linearisation problem of an application that is holomorphic in the neighborhood of a fixed point (after J.-C. Yoccoz). (Solution complète au problème de Siegel de linéarisation d’une application holomorphe au voisinage d’un point fixe [d’après J.-C. Yoccoz].) Zbl 0791.30019Pérez-Marco, Ricardo 10 1992 Sur la structure des germes holomorphes non linéarisables. (On the structure of non-linearizable holomorphic germs). Zbl 0737.34004Perez Marco, Ricardo 3 1991 Centralisateurs non dénombrables de germes de difféomorphismes holomorphes non linéarisables de \((\mathbb{C},0)\). (Uncountable centralizers for non-linearizable holomorphic germs of diffeomorphisms of \((\mathbb{C},0)\)). Zbl 0755.58011Perez Marco, Ricardo 1 1991 all cited Publications top 5 cited Publications all top 5 Cited by 156 Authors 9 Pérez-Marco, Ricardo 7 Biswas, Kingshook 7 Ribón, Javier 6 Blokh, Alexander M. 6 Oversteegen, Lex G. 6 Scardua, Bruno 4 Fayad, Bassam R. 4 Grunspan, Cyril 4 Rousseau, Christiane 4 Touzet, Frédéric 3 Bounemoura, Abed Bounemoura 3 Chéritat, Arnaud 3 Le Calvez, Patrice 3 Muñoz Velázquez, Vicente 3 Tall, Issa Amadou 3 Yoshino, Masafumi 2 Alvarez-Parrilla, Alvaro 2 Arriagada-Silva, Waldo 2 Bisi, Cinzia 2 Calsamiglia-Mendlewicz, Gabriel 2 Christopher, Colin J. 2 Gramchev, Todor V. 2 Koike, Takayuki 2 Krikorian, Raphaël 2 Lindahl, Karl-Olof 2 Loray, Frank 2 Muciño-Raymundo, Jesús 2 Niederman, Laurent 2 Okuyama, Yûsuke 2 Paul, Thierry 2 Raissy, Jasmin 2 Rivera-Letelier, Juan 2 Ruiz del Portal, Francisco Romero 2 Sauzin, David 2 Teyssier, Loïc 2 Timorin, Vladlen Anatol’evich 2 Yin, Wanke 2 Zhang, Xiang 1 Abarenkova, Nina 1 Abate, Marco 1 Allouche, Jean-Paul Simon 1 Babenko, Ivan K. 1 Barsky, Daniel 1 Benini, Anna Miriam 1 Berenguel, Rubén 1 Bergweiler, Walter 1 Biswas, Indranil 1 Bogatyĭ, Semeon Antonovich 1 Bonckaert, Patrick 1 Bostan, Alin 1 Boukraa, Salah 1 Brown, Mark 1 Buff, Xavier 1 Bustamante, Miguel D. 1 Cabrera, Carlos 1 Camacho, César 1 Carletti, Timoteo 1 Cerveau, Dominique 1 Chaperon, Marc 1 Chen, Jian 1 Chenciner, Alain 1 Cheung, Yitwah 1 Chu, Haifeng 1 Coll, Vincent E. jun. 1 Cordaro, Paulo D. 1 Cretarola, Alessandra 1 Curry, Clinton P. 1 de la Llave, Rafael 1 Déserti, Julie 1 Diaw, Adjaratou Arame 1 Drasin, David 1 Dudko, Dzmitry 1 Eliasson, L. Hakan 1 Fagella, Núria 1 Farré, Gerard 1 Farrés, Ariadna 1 Figà-Talamanca, Gianna 1 Gentili, Graziano 1 Genzmer, Yohann 1 Georgiev, Vladimir S. 1 Geyer, Lukas 1 Gong, Xianghong 1 Graffi, Sandro 1 Hassani, Saoud 1 Hittmeyer, Stefanie 1 Hoveijn, Igor 1 Huang, Xiaojun 1 Hubert, Pascal 1 Ilyashenko, Yulij Sergeevich 1 Imada, Mitsuhiko 1 Ito, Hidekazu 1 Ito, Toshikazu 1 Jaurez-Rosas, Jessica Angélica 1 Jézéquel, Malo 1 Jiao, Lei 1 Jorba, Àngel 1 Kawahira, Tomoki 1 Koropecki, Andres 1 Krauskopf, Bernd 1 Li, Ming ...and 56 more Authors all top 5 Cited in 78 Serials 11 Ergodic Theory and Dynamical Systems 6 Annales de l’Institut Fourier 6 Journal of Differential Equations 4 Advances in Mathematics 4 Duke Mathematical Journal 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Journal of Mathematical Analysis and Applications 3 Mathematische Zeitschrift 3 Proceedings of the American Mathematical Society 3 Transactions of the American Mathematical Society 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Bulletin of the Brazilian Mathematical Society. New Series 2 Communications in Mathematical Physics 2 Nonlinearity 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Publications Mathématiques 2 Inventiones Mathematicae 2 Michigan Mathematical Journal 2 Topology and its Applications 2 Journal of the American Mathematical Society 2 Bulletin of the American Mathematical Society. New Series 2 Journal of Difference Equations and Applications 2 Discrete and Continuous Dynamical Systems 2 Regular and Chaotic Dynamics 2 Probability in the Engineering and Informational Sciences 2 Qualitative Theory of Dynamical Systems 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Journal of Singularities 1 International Journal of Control 1 Journal d’Analyse Mathématique 1 Journal of Fluid Mechanics 1 Russian Mathematical Surveys 1 Acta Arithmetica 1 Acta Mathematica 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Automatica 1 Bulletin de la Société Mathématique de France 1 Compositio Mathematica 1 Indiana University Mathematics Journal 1 Journal of Functional Analysis 1 Journal of Number Theory 1 Journal of Pure and Applied Algebra 1 Kodai Mathematical Journal 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Osaka Journal of Mathematics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Advances in Applied Mathematics 1 Acta Applicandae Mathematicae 1 Annals of Global Analysis and Geometry 1 Forum Mathematicum 1 International Journal of Mathematics 1 IMRN. International Mathematics Research Notices 1 The Journal of Geometric Analysis 1 Geometric and Functional Analysis. GAFA 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Indagationes Mathematicae. New Series 1 International Journal of Robust and Nonlinear Control 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Bulletin des Sciences Mathématiques 1 European Mathematical Society Newsletter 1 The Ramanujan Journal 1 Conformal Geometry and Dynamics 1 Revista Matemática Complutense 1 International Journal of Theoretical and Applied Finance 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Dynamical and Control Systems 1 Advances in Geometry 1 Decisions in Economics and Finance 1 Computational Methods and Function Theory 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Fixed Point Theory and Applications 1 Journal of Fixed Point Theory and Applications 1 Advances in Mathematical Physics 1 Science China. Mathematics 1 Analysis and Mathematical Physics 1 Arnold Mathematical Journal all top 5 Cited in 34 Fields 101 Dynamical systems and ergodic theory (37-XX) 31 Several complex variables and analytic spaces (32-XX) 24 Functions of a complex variable (30-XX) 13 Ordinary differential equations (34-XX) 9 Number theory (11-XX) 9 Mechanics of particles and systems (70-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Partial differential equations (35-XX) 4 Sequences, series, summability (40-XX) 4 General topology (54-XX) 4 Manifolds and cell complexes (57-XX) 3 Algebraic geometry (14-XX) 3 Differential geometry (53-XX) 3 Algebraic topology (55-XX) 3 Quantum theory (81-XX) 3 Systems theory; control (93-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Probability theory and stochastic processes (60-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.