Edit Profile (opens in new tab) Arenas, Alex Co-Author Distance Author ID: arenas.alex Published as: Arenas, Alex; Arenas, A.; Arenas, Àlex more...less External Links: ORCID Documents Indexed: 64 Publications since 1987, including 10 Additional arXiv Preprints Co-Authors: 61 Co-Authors with 46 Joint Publications 967 Co-Co-Authors all top 5 Co-Authors 12 single-authored 14 Gómez, Sergio Alejandro 9 Díaz-Guilera, Albert 9 Skardal, Per Sebastian 5 Borge-Holthoefer, Javier 5 Guimerà, Roger 4 De Domenico, Manlio 4 Moreno, Yamir 4 Solé-Ribalta, Albert 3 Alalwan, Najlaa 3 Bayer Isant, Pilar 3 Estrada, Ernesto 3 Lozano, Sergi 3 Sun, Jie 3 Taylor, Dane 3 Vega-Redondo, Fernando 2 Cabrales, Antonio 2 Cozzo, Emanuele 2 Cuesta, José A. 2 Danon, Leon 2 Erola, Pau 2 Fernández, Alberto 2 Ghoshal, Gourab 2 Gómez-Gardeñes, Jesús 2 Kivelä, Mikko 2 Pérez, Conrad J. 2 Porter, Mason Alexander 2 Sánchez, Angel 2 Soriano-Paños, David 1 Acebrón, Juan A. 1 Aranés, M. T. 1 Arola-Fernández, Lluís 1 Ayad, Sarah 1 Barland, Stephane 1 Bonilla, Luis Lopez 1 Camacho, Juan 1 Capitán, José A. 1 Cota, Wesley 1 Eguíluz, Víctor M. 1 Ferre-Giné, J. 1 Ferreira, Silvio C. 1 Fleurquin, Pablo 1 Fortunato, Santo 1 Garijo, Antonio 1 Giralt, Francesc 1 Granell, Clara 1 Gustave, Francois 1 Hong, Yanhua 1 Kopp, Gregory A. 1 Latora, Vito 1 Masoller, Cristina 1 Meloni, Sandro 1 Nicosia, Vincenzo 1 Nin, Jordi 1 Pérez-Vicente, Conrad J. 1 Pérez Vicente, Conrado J. 1 Pérez, Toni 1 Pons, Antonio J. 1 Radicchi, Filippo 1 Rallo, Robert 1 Ramasco, José J. 1 Requejo, Rubén J. 1 Roca, Carlos P. 1 Salbanya, Bernat 1 Tomás, Elena 1 Villadelprat, Jordi 1 Ye, Yong 1 Zamora-López, Gorka 1 Zhao, Yi 1 Zhou, Jiaying all top 5 Serials 5 Chaos 4 Physica D 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Journal of Number Theory 3 New Journal of Physics 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales (España) 2 Journal of Theoretical Biology 1 Linear and Multilinear Algebra 1 Physica A 1 Acta Arithmetica 1 Applied Mathematics and Computation 1 Indian Journal of Mathematics 1 Manuscripta Mathematica 1 Journal of Economic Dynamics & Control 1 Journal of Physics A: Mathematical and General 1 Proceedings of the National Academy of Sciences of the United States of America 1 Physics of Fluids 1 Journal of Mathematical Chemistry 1 Review of Economic Design 1 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas 1 Journal of Statistical Mechanics: Theory and Experiment 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Journal of Physics A: Mathematical and Theoretical 1 Networks and Heterogeneous Media 1 Annalen der Physik all top 5 Fields 16 Number theory (11-XX) 12 Operations research, mathematical programming (90-XX) 10 Combinatorics (05-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Biology and other natural sciences (92-XX) 5 Ordinary differential equations (34-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Computer science (68-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Information and communication theory, circuits (94-XX) 1 Algebraic geometry (14-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 33 Publications have been cited 189 times in 170 Documents Cited by ▼ Year ▼ Synchronization processes in complex networks. Zbl 1112.34027 Arenas, Alex; Díaz-Guilera, Albert; Pérez-Vicente, Conrad J. 38 2006 Navigability of interconnected networks under random failures. Zbl 1355.90014 De Domenico, Manlio; Solé-Ribalta, Albert; Gómez, Sergio; Arenas, Alex 31 2014 Structure of triadic relations in multiplex networks. Zbl 1452.05169 Cozzo, Emanuele; Kivelä, Mikko; Domenico, Manlio De; Solé-Ribalta, Albert; Arenas, Alex; Gómez, Sergio; Porter, Mason A.; Moreno, Yamir 23 2015 Communication and optimal hierarchical networks. Zbl 0978.94001 Guimerà, R.; Arenas, A.; Díaz-Guilera, A. 18 2001 Random walk centrality in interconnected multilayer networks. Zbl 1365.90046 Solé-Ribalta, Albert; De Domenico, Manlio; Gómez, Sergio; Arenas, Alex 14 2016 On the short-time dynamics of networks of Hebbian coupled oscillators. Zbl 0937.92501 Pérez Vicente, C. J.; Arenas, A.; Bonilla, L. L. 8 1996 Self-organized criticality in evolutionary systems with local interaction. Zbl 1100.91507 Arenas, Alex; Díaz-Guilera, Albert; Pérez, Conrad J.; Vega-Redondo, Fernando 7 2002 Phase patterns of coupled oscillators with application to wireless communication. Zbl 1158.90326 Díaz-Guilera, Albert; Arenas, Alex 7 2008 Categorizing words through semantic memory navigation. Zbl 1188.91197 Borge-Holthoefer, J.; Arenas, A. 6 2010 The joker effect: cooperation driven by destructive agents. Zbl 1397.91060 Arenas, Alex; Camacho, Juan; Cuesta, José A.; Requejo, Rubén J. 6 2011 Optimal map of the modular structure of complex networks. Zbl 1376.91128 Arenas, A.; Borge-Holthoefer, J.; Gómez, S.; Zamora-López, G. 5 2010 Erosion of synchronization: coupling heterogeneity and network structure. Zbl 1364.34081 Skardal, Per Sebastian; Taylor, Dane; Sun, Jie; Arenas, Alex 5 2016 Optimal information transmission in organizations: Search and congestion. Zbl 1202.90171 Arenas, Àlex; Cabrales, Antonio; Danon, Leon; Díaz-Guilera, Albert; Guimerà, Roger; Vega-Redondo, Fernando 4 2010 On controlling networks of limit-cycle oscillators. Zbl 1382.34047 Skardal, Per Sebastian; Arenas, Alex 4 2016 Search and congestion in complex networks. Zbl 1099.90514 Arenas, Alex; Cabrales, Antonio; Díaz-Guilera, Albert; Guimerà, Roger; Vega-Redondo, Fernando 3 2003 A complex network approach to the determination of functional groups in the neural system of C. Elegans. Zbl 1158.92302 Arenas, Alex; Fernández, Alberto; Gómez, Sergio 3 2008 Impact of temporal scales and recurrent mobility patterns on the unfolding of epidemics. Zbl 1456.92143 Soriano-Paños, David; Ghoshal, Gourab; Arenas, Alex; Gómez-Gardeñes, Jesús 3 2020 Motif-based communities in complex networks. Zbl 1146.90341 Arenas, A.; Fernández, A.; Fortunato, S.; Gómez, S. 2 2008 On some equivalences of positive definite binary quadratic forms. Zbl 0691.10012 Arenas, A. 2 1989 The simulation and interpretation of free turbulence with a cognitive neural system. Zbl 1184.76181 Giralt, Francesc; Arenas, A.; Ferre-Giné, J.; Rallo, R.; Kopp, G. A. 2 2000 Local search with congestion in complex communication networks. Zbl 1100.68502 Arenas, Alex; Danon, Leon; Díaz-Guilera, Albert; Guimerà, Roger 2 2004 Arithmetic behaviour of the sums of three squares. Zbl 0623.10035 Arenas, A.; Bayer, P. 2 1987 Quantitative aspects of the representations of integers by quadratic forms. Zbl 0695.10018 Arenas, A. 2 1989 On the traces of Hecke operators. Zbl 1030.11020 Arenas, A. 2 2003 Quantifying sudden changes in dynamical systems using symbolic networks. Zbl 1452.37012 Masoller, Cristina; Hong, Yanhua; Ayad, Sarah; Gustave, Francois; Barland, Stephane; Pons, Antonio J.; Gómez, Sergio; Arenas, Alex 2 2015 An arithmetic problem on the sums of three squares. Zbl 0663.10050 Arenas, A. 1 1988 Rational equivalence of primitive integral binary quadratic forms. Zbl 0738.11035 Arenas, A. 1 1991 Topological melting in networks of granular materials. Zbl 1417.82007 Alalwan, Najlaa; Arenas, Alex; Estrada, Ernesto 1 2019 Mesoscopic analysis of networks: applications to exploratory analysis and data clustering. Zbl 1345.90023 Granell, Clara; Gómez, Sergio; Arenas, Alex 1 2011 Topological versus dynamical robustness in a lexical network. Zbl 1270.68237 Borge-Holthoefer, Javier; Moreno, Yamir; Arenas, Alex 1 2012 Stability of spatio-temporal structures in a lattice model of pulse-coupled oscillators. Zbl 1194.37184 Díaz-Guilera, A.; Arenas, A.; Corral, A.; Pérez, C. J. 1 1997 Geometric unfolding of synchronization dynamics on networks. Zbl 1465.34045 Arola-Fernández, Lluís; Skardal, Per Sebastian; Arenas, Alex 1 2021 Degree of intervality of food webs: from body-size data to models. Zbl 1397.92716 Capitán, José A.; Arenas, Alex; Guimerà, Roger 1 2013 Geometric unfolding of synchronization dynamics on networks. Zbl 1465.34045 Arola-Fernández, Lluís; Skardal, Per Sebastian; Arenas, Alex 1 2021 Impact of temporal scales and recurrent mobility patterns on the unfolding of epidemics. Zbl 1456.92143 Soriano-Paños, David; Ghoshal, Gourab; Arenas, Alex; Gómez-Gardeñes, Jesús 3 2020 Topological melting in networks of granular materials. Zbl 1417.82007 Alalwan, Najlaa; Arenas, Alex; Estrada, Ernesto 1 2019 Random walk centrality in interconnected multilayer networks. Zbl 1365.90046 Solé-Ribalta, Albert; De Domenico, Manlio; Gómez, Sergio; Arenas, Alex 14 2016 Erosion of synchronization: coupling heterogeneity and network structure. Zbl 1364.34081 Skardal, Per Sebastian; Taylor, Dane; Sun, Jie; Arenas, Alex 5 2016 On controlling networks of limit-cycle oscillators. Zbl 1382.34047 Skardal, Per Sebastian; Arenas, Alex 4 2016 Structure of triadic relations in multiplex networks. Zbl 1452.05169 Cozzo, Emanuele; Kivelä, Mikko; Domenico, Manlio De; Solé-Ribalta, Albert; Arenas, Alex; Gómez, Sergio; Porter, Mason A.; Moreno, Yamir 23 2015 Quantifying sudden changes in dynamical systems using symbolic networks. Zbl 1452.37012 Masoller, Cristina; Hong, Yanhua; Ayad, Sarah; Gustave, Francois; Barland, Stephane; Pons, Antonio J.; Gómez, Sergio; Arenas, Alex 2 2015 Navigability of interconnected networks under random failures. Zbl 1355.90014 De Domenico, Manlio; Solé-Ribalta, Albert; Gómez, Sergio; Arenas, Alex 31 2014 Degree of intervality of food webs: from body-size data to models. Zbl 1397.92716 Capitán, José A.; Arenas, Alex; Guimerà, Roger 1 2013 Topological versus dynamical robustness in a lexical network. Zbl 1270.68237 Borge-Holthoefer, Javier; Moreno, Yamir; Arenas, Alex 1 2012 The joker effect: cooperation driven by destructive agents. Zbl 1397.91060 Arenas, Alex; Camacho, Juan; Cuesta, José A.; Requejo, Rubén J. 6 2011 Mesoscopic analysis of networks: applications to exploratory analysis and data clustering. Zbl 1345.90023 Granell, Clara; Gómez, Sergio; Arenas, Alex 1 2011 Categorizing words through semantic memory navigation. Zbl 1188.91197 Borge-Holthoefer, J.; Arenas, A. 6 2010 Optimal map of the modular structure of complex networks. Zbl 1376.91128 Arenas, A.; Borge-Holthoefer, J.; Gómez, S.; Zamora-López, G. 5 2010 Optimal information transmission in organizations: Search and congestion. Zbl 1202.90171 Arenas, Àlex; Cabrales, Antonio; Danon, Leon; Díaz-Guilera, Albert; Guimerà, Roger; Vega-Redondo, Fernando 4 2010 Phase patterns of coupled oscillators with application to wireless communication. Zbl 1158.90326 Díaz-Guilera, Albert; Arenas, Alex 7 2008 A complex network approach to the determination of functional groups in the neural system of C. Elegans. Zbl 1158.92302 Arenas, Alex; Fernández, Alberto; Gómez, Sergio 3 2008 Motif-based communities in complex networks. Zbl 1146.90341 Arenas, A.; Fernández, A.; Fortunato, S.; Gómez, S. 2 2008 Synchronization processes in complex networks. Zbl 1112.34027 Arenas, Alex; Díaz-Guilera, Albert; Pérez-Vicente, Conrad J. 38 2006 Local search with congestion in complex communication networks. Zbl 1100.68502 Arenas, Alex; Danon, Leon; Díaz-Guilera, Albert; Guimerà, Roger 2 2004 Search and congestion in complex networks. Zbl 1099.90514 Arenas, Alex; Cabrales, Antonio; Díaz-Guilera, Albert; Guimerà, Roger; Vega-Redondo, Fernando 3 2003 On the traces of Hecke operators. Zbl 1030.11020 Arenas, A. 2 2003 Self-organized criticality in evolutionary systems with local interaction. Zbl 1100.91507 Arenas, Alex; Díaz-Guilera, Albert; Pérez, Conrad J.; Vega-Redondo, Fernando 7 2002 Communication and optimal hierarchical networks. Zbl 0978.94001 Guimerà, R.; Arenas, A.; Díaz-Guilera, A. 18 2001 The simulation and interpretation of free turbulence with a cognitive neural system. Zbl 1184.76181 Giralt, Francesc; Arenas, A.; Ferre-Giné, J.; Rallo, R.; Kopp, G. A. 2 2000 Stability of spatio-temporal structures in a lattice model of pulse-coupled oscillators. Zbl 1194.37184 Díaz-Guilera, A.; Arenas, A.; Corral, A.; Pérez, C. J. 1 1997 On the short-time dynamics of networks of Hebbian coupled oscillators. Zbl 0937.92501 Pérez Vicente, C. J.; Arenas, A.; Bonilla, L. L. 8 1996 Rational equivalence of primitive integral binary quadratic forms. Zbl 0738.11035 Arenas, A. 1 1991 On some equivalences of positive definite binary quadratic forms. Zbl 0691.10012 Arenas, A. 2 1989 Quantitative aspects of the representations of integers by quadratic forms. Zbl 0695.10018 Arenas, A. 2 1989 An arithmetic problem on the sums of three squares. Zbl 0663.10050 Arenas, A. 1 1988 Arithmetic behaviour of the sums of three squares. Zbl 0623.10035 Arenas, A.; Bayer, P. 2 1987 all cited Publications top 5 cited Publications all top 5 Cited by 439 Authors 13 Arenas, Alex 6 Gómez, Sergio Alejandro 6 Porter, Mason Alexander 5 Criado, Regino 5 Díaz-Guilera, Albert 5 Estrada, Ernesto 5 Romance, Miguel 5 Taylor, Dane 4 Lai, Yingcheng 4 Perc, Matjaž 4 Skardal, Per Sebastian 4 Tudisco, Francesco 3 Arrigo, Francesca 3 Borge-Holthoefer, Javier 3 Kocarev, Ljupco 3 Kurths, Jürgen 3 Mucha, Peter J. 3 Rodrigues, Francisco Aparecido 3 Szolnoki, Attila 2 Allen-Perkins, Alfonso 2 Andrade, Roberto Fernandes Silva 2 Bao, Haibo 2 Bassett, Danielle S. 2 Buldú, Javier M. 2 Cao, Jinde 2 Chen, Guanrong 2 Chen, Hanshuang 2 De Domenico, Manlio 2 Dénes, Károly 2 Deng, Bin 2 Fu, Xinchu 2 García González, Esther 2 Ghoshal, Gourab 2 Guimerà, Roger 2 Hesaam, Bardyaa 2 Higham, Desmond J. 2 Hossein Ghorban, Samira 2 Huang, Wei 2 Jurado, Isabel 2 Lambiotte, Renaud 2 Li, Kezan 2 Lu, Junan 2 Martinez de Aguiar, Marcus Aloizio 2 Masuda, Naoki 2 Millán, Pablo 2 Moreira, Carolina A. 2 Moreno, Yamir 2 Néda, Zoltán 2 Orihuela, Luis 2 Pedroche, Francisco 2 Peron, Thomas K. DM. 2 Rosvall, Martin 2 Sándor, Bulcsú 2 Sarbazi-Azad, Hamid 2 Schöll, Eckehard 2 Solé-Ribalta, Albert 2 Sun, Jie 2 Wang, Jiang 2 Wu, Jian-Liang 2 Wu, Xifen 2 Zhu, Xuzhen 1 Alalwan, Najlaa 1 Albert, Réka 1 Aleja, David 1 Ali-Ahmadi, B. Hoda 1 Alizadeh, Somayeh 1 Amancio, Diego R. 1 An, Xinlei 1 Andergassen, Rainer 1 Anderson, Kurt E. 1 Andevari, Masood Nemati 1 André, Elisabeth 1 Arola-Fernández, Lluís 1 Avetyan, M. 1 Baharifard, Fatemeh 1 Balci, Fuat 1 Baltaretu, Bianca R. 1 Bar-Joseph, Ziv 1 Barabási, Albert-László 1 Barbosa, Hugo 1 Barlev, Gilad 1 Barreto, Ernest 1 Bartesaghi, Paolo 1 Barthelemy, Marc 1 Barzinpour, Farnaz 1 Battaner-Moro, Elena 1 Battiston, Federico 1 Bearup, Daniel 1 Beguerisse-Díaz, Mariano 1 Berenhaut, Kenneth S. 1 Berner, Rico 1 Beronov, Boyan 1 Bhamidi, Shankar 1 Bharmauria, Vishal 1 Bhatia, M. P. S. 1 Blasius, Bernd 1 Blume, Andreas 1 Boccaletti, Stefano 1 Bohlin, Ludvig 1 Bohn, Andreas ...and 339 more Authors all top 5 Cited in 66 Serials 21 Chaos 16 Physica A 7 Physics Reports 6 SIAM Journal on Applied Mathematics 6 Journal of Theoretical Biology 5 Applied Mathematics and Computation 5 Information Sciences 5 Journal of Economic Dynamics & Control 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Chaos, Solitons and Fractals 4 New Journal of Physics 4 Communications in Nonlinear Science and Numerical Simulation 4 SIAM Journal on Applied Dynamical Systems 4 Journal of Statistical Mechanics: Theory and Experiment 3 Physica D 3 SIAM Journal on Matrix Analysis and Applications 3 Mathematical Problems in Engineering 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Journal of the Franklin Institute 2 Journal of Statistical Physics 2 Proceedings of the National Academy of Sciences of the United States of America 2 Data Mining and Knowledge Discovery 2 Review of Economic Design 2 Multiscale Modeling & Simulation 2 Journal of Physics A: Mathematical and Theoretical 2 Algorithms 1 Discrete Applied Mathematics 1 International Journal of Control 1 Journal of Mathematical Biology 1 Mathematical Biosciences 1 Physics Letters. A 1 Reviews of Modern Physics 1 Bulletin of Mathematical Biology 1 The Annals of Statistics 1 Automatica 1 Computing 1 Journal of Computational and Applied Mathematics 1 SIAM Journal on Control and Optimization 1 Theory and Decision 1 Journal of Computer Science and Technology 1 Neural Networks 1 European Journal of Applied Mathematics 1 Neural Computation 1 Numerical Algorithms 1 International Journal of Robust and Nonlinear Control 1 Journal of Nonlinear Science 1 Journal of Computer and Systems Sciences International 1 Complexity 1 Nonlinear Dynamics 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Fractional Calculus & Applied Analysis 1 Journal of Discrete Mathematical Sciences & Cryptography 1 Probability in the Engineering and Informational Sciences 1 Matematicheskoe Modelirovanie 1 Journal of Machine Learning Research (JMLR) 1 Journal of Applied Mathematics and Computing 1 ACM Journal of Experimental Algorithmics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Acta Mechanica Sinica 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Advances in Mathematical Physics 1 Sankhyā. Series A 1 Statistics and Computing 1 Annalen der Physik 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 SIAM Journal on Mathematics of Data Science all top 5 Cited in 27 Fields 59 Combinatorics (05-XX) 47 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 39 Ordinary differential equations (34-XX) 33 Biology and other natural sciences (92-XX) 31 Operations research, mathematical programming (90-XX) 19 Computer science (68-XX) 19 Statistical mechanics, structure of matter (82-XX) 19 Systems theory; control (93-XX) 12 Statistics (62-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 9 Probability theory and stochastic processes (60-XX) 9 Numerical analysis (65-XX) 8 Information and communication theory, circuits (94-XX) 3 Partial differential equations (35-XX) 3 Quantum theory (81-XX) 2 Real functions (26-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX) Citations by Year