List of publications

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Google Scholar profile | My Erdos number is 3.

2017 and preprints

  • P56. A combinatorial framework for peak/pit asymmetry in complex dynamics
    Uri Hasson, Jacopo Iacovacci, Ben Davis, Ryan Flanagan, Enzo Tagliazucchi, Helmut Laufs, Lucas Lacasa
    Submitted for publication

  • P55. Visibility graphs and symbolic dynamics
    Lucas Lacasa, Wolfram Just
    Submitted for publication (arXiv:1704.06467)

  • P54. Visibility graphs of random scalar fields and spatial data
    Lucas Lacasa, Jacopo Iacovacci
    Physical Review E 96, 012318 (2017)

  • P53. Visibility graphs for fMRI data: multiplex temporal graphs and their modulations across resting state networks
    Speranza Sannino, Sebastiano Stramaglia, Lucas Lacasa, Daniele Marinazzo
    Network Neuroscience (in press 2017)

  • P52. Identifying the hidden multiplex architecture of complex systems
    Lucas Lacasa, Inés Pérez-Mariño, Joaquín Miguez, Vincenzo Nicosia and Jesús Gómez-Gardeñes
    Submitted for publication (arXiv:1705.04661)

  • P51. Emergence of linguistic laws in human voice
    Ivan Gonzalez Torre, Bartolo Luque, Lucas Lacasa, Jordi Luque and Antoni Hernandez-Fernandez
    Nature Scientific Reports 7, 43862 (2017)
    Featured in Research News Portal, Technical University of Madrid

  • P50. Forensic analysis of spanish 2015 and 2016 national elections
    Juan Fernandez-Gracia, Lucas Lacasa
    arXiv:1607.02841 | Nota de prensa
    Featured in La Ciencia de la Mula Francis, Naukas (13th July 2016)
    Featured in Diario de Burgos (21th July 2016)

  • P49. Canonical horizontal visibility graphs are uniquely determined by their degree sequence
    Bartolo Luque, Lucas Lacasa
    European Physical Journal Special Topics 226, 383 (2017)


  • P48. Horizontal Visibility Graphs from Integer Sequences
    Lucas Lacasa
    Journal of Physics A: Mathematical and Theoretical 49, 35LT01 (2016)

  • P47. Entropy and Renormalization in Chaotic Visibility Graphs
    Bartolo Luque, Fernando J. Ballesteros, Alberto Robledo and Lucas Lacasa
    in Mathematical Foundations and Applications of Graph Entropy (eds. Matthias Dehmer, Frank Emmert-Streib, Zengqiang Chen, Xueliang Li, Yongtang Shi, Wiley-VCH Verlag 2016) ISBN 978-3-527-33909-9

  • P46. Sequential motif profile of natural visibility graphs
    Jacopo Iacovacci, Lucas Lacasa
    Physical Review E 94, 052309 (2016)

  • P45. Emergence of collective intonation in the musical performance of crowds
    Lucas Lacasa
    EPL 115, 68004 (2016)

  • P44. Sequential visibility-graph motifs
    Jacopo Iacovacci, Lucas Lacasa
    Physical Review E 93, 042309 (2016)

  • P43. Irreversibility of financial time series: a graph-theoretical approach
    Ryan Flanagan, Lucas Lacasa
    Physics Letters A 380, 1689-1697 (2016)


  • P42. Energy balance and the origin of metabolic scaling
    Fernando Ballesteros, Vicent Martinez, Bartolo Luque, Lucas Lacasa and Andres Moya
    Arxiv 1407.3659

  • P41. Network Structure of Multivariate Time Series
    Lucas Lacasa, Vincenzo Nicosia and Vito Latora
    Nature Scientific Reports 5, 15508 (2015)
    Featured in Revista de la RSEF 30, 1 (2016)

  • P40. Time reversibility from visibility graphs of non-stationary processes
    Lucas Lacasa and Ryan Flanagan
    Physical Review E 92, 022817 (2015)

  • P39. Scaling and universality in the human voice
    Jordi Luque, Bartolo Luque and Lucas Lacasa
    Journal of the Royal Society Interface 12, 20141344 (2015)


  • P38.Analytical estimation of the correlation dimension of integer lattices
    Lucas Lacasa, Jesús Gómez-Gardeñes
    Chaos 24, 043101 (2014)

  • P37.On the degree distribution of horizontal visibility graphs associated to Markov processes and dynamical systems: diagrammatic and variational approaches
    Lucas Lacasa
    Nonlinearity 27, 2063-2093 (2014)

  • P36.Horizontal Visibility graphs generated by type-II intermittency
    Angel Nuñez, Jose Patricio Gómez, Lucas Lacasa
    Journal of Physics A: Mathematical and Theoretical 47, 035102 (2014)


  • P35. Phase transitions in Number Theory: from the Birthday Problem to Sidon Sets
    Bartolo Luque, Iván G. Torre, Lucas Lacasa
    Physical Review E 88, 052119 (2013)

  • P34.-Correlation dimension of complex networks
    Lucas Lacasa, Jesús Gómez-Gardeñes
    Physical Review Letters 110, 168703 (2013)
    Preprint with supplementary material included

  • P33. Horizontal Visibility graphs generated by type-I intermittency
    Angel Nuñez, Bartolo Luque, Lucas Lacasa, Jose Patricio Gómez, Alberto Robledo
    Physical Review E 87, 052801 (2013)

  • P32. Redes, interacciones, emergencia
    Lucas Lacasa
    in Perspectivas de la Física para el Siglo XXI (edited by O. Miramontes and K. Volke in Copit Arxives), ISBN 978-0-9831172-9-2 (2013)


  • P31.-Feigenbaum graphs at the onset of chaos
    Bartolo Luque, Lucas Lacasa, Alberto Robledo
    Physics Letters A 376 (2012)

  • P30.-Phase transition in the Countdown problem
    Lucas Lacasa, Bartolo Luque
    Physical Review E 86, 010105(R) (2012)
    Featured in Investigacion y Ciencia (spanish version of Scientific American)

  • P29.-Time series irreversibility: a visibility graph approach
    Lucas Lacasa, Angel Nuñez, Edgar Roldán, Juan MR Parrondo, Bartolo Luque
    European Physical Journal B 85, 217 (2012)

  • P28.-Approximate entropy of network parameters
    James West, Lucas Lacasa, Simone Severini, Andrew Teschendorff
    Physical Review E 85, 046111 (2012)

  • P27.- Analytical properties of horizontal visibility graphs in the Feigenbaum scenario
    Bartolo Luque, Lucas Lacasa, Fernando J. Ballesteros, Alberto Robledo
    Chaos 22, 013109 (2012)

  • P26.- Visibility algorithms: a short review
    Angel Nuñez, Lucas Lacasa, Bartolo Luque
    in Graph Theory (edited by Intech), ISBN 979-953-307-303-2 (2012)

  • P25.- Comment on the existence of a long range correlation in the Geomagnetic Disturbance storm time (Dst) index
    Lucas Lacasa
    Astrophysics and Space Science 337, 1 (2012) pdf

  • P24.- Detecting periodicity with horizontal visibility graphs
    Angel Nuñez, Lucas Lacasa, Bartolo Luque
    International Journal of Bifurcation and Chaos 22, 7 (2012)


  • P23.- Fast resolution of a single factor Heath-Jarrow-Morton model with stochastic volatility
    Eusebio Valero, Manuel Torrealba, Lucas Lacasa, Francois Fraysse
    Journal of Computational and Applied Mathematics 236, 6, Pages 1637-1655 (2011)

  • P22.- Feigenbaum graphs: a complex network perspective of chaos
    Bartolo Luque, Lucas Lacasa, Fernando J. Ballesteros, Alberto Robledo
    PLoS ONE 6(9) (2011)


  • P21.- Critical behavior of a Ginzburg-Landau model with additive quenched noise
    Niko Komin, Lucas Lacasa, Raúl Toral
    Journal of Statistical Mechanics (2010) P12008 Arxiv

  • P20.- Description of stochastic and chaotic series using visibility graphs
    Lucas Lacasa, Raúl Toral
    Physical Review E 82, 036120 (2010)

  • P19.- Mapping time series to networks: a brief overview of visibility algorithms
    Lucas Lacasa, Bartolo Luque
    in Computer Science Research and Technology vol 3 (edited by Nova Publisher), ISBN: 978-1-61122-074-2 (2010)

  • P18.- The roundtable: an abstract model of conversation dynamics
    Massimo Mastrangeli, Martin Schmidt and Lucas Lacasa
    Journal of Artificial Societies and Social Simulation 13, 4 (2010) Arxiv

  • P17.- Complex systems, numbers, and number theory
    Lucas Lacasa, Bartolo Luque, Octavio Miramontes
    in Reviews on Nonlinear Dynamics (edited by H. Schuster in Wiley-VCH) ISBN 3527409459, 9783527409457 (2010)


  • P16.- Horizontal visibility graphs: exact results for random time series
    Bartolo Luque, Lucas Lacasa, Jordi Luque, Fernando J. Ballesteros
    Physical Review E 80, 046103 (2009) pdf

  • P15.- The Visibility Graph: a new method for estimating the Hurst exponent of fractional Brownian motion
    Lucas Lacasa, Bartolo Luque, Jordi Luque and Juan Carlos Nuño
    EPL 86 (2009) 30001
    Awarded Best 2009 papers in EPL

  • P14.- Jamming transition in air transportation networks
    Lucas Lacasa, Miguel Cea, Massimiliano Zanin
    Physica A 388 (2009) 3948-3954 Arxiv

  • P13.- Dynamics in Scheduled Networks
    Massimiliano Zanin, Lucas Lacasa and Miguel Cea
    Chaos 19, 023111 (2009) pdf

  • P12.- Crossover phenomenon in the performance of an Internet search engine
    Lucas Lacasa, Jacopo Tagliabue and Andrew Berdahl
    Working paper SFI CSSS09

  • P11.- 1,2,3: Building the phylogenetic tree of language with numbers
    Andrew Berdahl and Lucas Lacasa
    Working paper SFI CSSS09

  • P10.- The first digit frequencies of primes and Riemann zeta zeros
    Bartolo Luque and Lucas Lacasa
    Proceedings of the Royal Society A 465 (2009) 2197-2216
    Featured in
    Featured in Mathematical Association of America (21st May, 2009)
    Featured in Politicalcalculations (19th May, 2009)
    Featured in Terra Incognita (9th May, 2009)
    Awarded Top 10 Proc. Royal Society articles in 2009


  • P9.- Number theoretic example of scale-free topology inducing self-organized criticality
    Bartolo Luque, Octavio Miramontes, Lucas Lacasa
    Physical Review Letters 101, 158702 (2008) pdf

  • P8.- From time series to complex networks: the visibility graph
    Lucas Lacasa, Bartolo Luque, Fernando Ballesteros, Jordi Luque, Juan C. Nuño
    PNAS, vol. 105, no. 13 (2008) 4972-4975 pdf
    Featured in Benoit Rittaud, La Recherche 421 (2008)

  • P7.- Phase transition and computational complexity in a stochastic prime number generator
    Lucas Lacasa, Bartolo Luque, Octavio Miramontes
    New Journal of Physics 10 (2008) 023009 pdf


  • P6.- Phase transition in a stochastic prime number generator
    Bartolo Luque, Lucas Lacasa, Octavio Miramontes
    Physical Review E 76, 010103 (R) (2007) pdf

  • P5.- Split gap effects on rear fuselage flow
    Eusebio Valero, Javier de Vicente, Lucas Lacasa
    Proc. 16th Iasted Int. Conf. Applied Simulation and Modelling PP: 446-450 (2007)

  • P4.- Self-overlap as a method of stability analysis in Ising models
    Antonio Ferrera, Bartolo Luque, Lucas Lacasa, Eusebio Valero
    Physical Review E 75, 6 (2007) 061103 pdf

  • P3.- A probabilistic model of reserve design
    Jordi Bascompte, Bartolo Luque, Jose Olarrea, Lucas Lacasa
    Journal of Theoretical Biology 247, pp. 205-211 (2007) pdf


  • P2.- Bonabeau hierarchy models revisited
    Lucas Lacasa, Bartolo Luque
    Physica A: Statistical Mechanics and its Applications 366, pp. 472-484 (2006) pdf

  • P1.- Teoria de campo medio en el modelo de Bonabeau
    Lucas Lacasa, Bartolo Luque
    in CEDI I proceedings: symposium on complex systems

    PhD dissertation

    Complexity in physical, living and mathematical systems (Lucas Lacasa, PhD dissertation, 2009).

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