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Institute of Applied Data Science


Dr Lucas Lacasa

Lucas Lacasa

Reader in Applied Mathematics & EPSRC Early Career Fellow

School of Mathematical Sciences
Mathematical Sciences Building MB117


complex systems, visibility graph theory, phase transitions, critical phenomena and self-organized criticality, applied nonlinear dynamics and chaos


My research is focused on complex systems science, where I address both fundamental and applied questions. The tools I use include statistical physics, nonlinear dynamics, stochastic processes and networks. If you want to take a look at my publications, go here


Publications of specific relevance to Applied Data Science


Rodríguez P, Graña S, Alvarez-León EE, Battaglini M, Darias FJ, Hernán MA, López R, Llaneza P, Martín MC, RadarCovidPilot Group , Ramirez-Rubio O, Romaní A, Suárez-Rodríguez B, Sánchez-Monedero J, Arenas A and Lacasa L (2021). A population-based controlled experiment assessing the epidemiological impact of digital contact tracing. Nat Commun  vol. 12, (1) 10.1038/s41467-020-20817-6


Bonaventura M, Ciotti V, Panzarasa P, Liverani S, Lacasa L and Latora V (2020). Predicting success in the worldwide start-up network. Scientific Reports  vol. 10, (1) 10.1038/s41598-019-57209-w
Lacasa L, Challen R, Brooks-Pollock E and Danon L (2020). A flexible method for optimising sharing of healthcare resources and demand in the context of the COVID-19 pandemic. Plos One  vol. 15, (10) e0241027-e0241027. 10.1371/journal.pone.0241027
Requena B, Cassani G, Tagliabue J, Greco C and Lacasa L (2020). Shopper intent prediction from clickstream e-commerce data with minimal browsing information. Sci Rep  vol. 10, (1) 10.1038/s41598-020-73622-y
González-Espinoza A, Martínez-Mekler G and Lacasa L (2020). Arrow of time across five centuries of classical music. Physical Review Research  vol. 2, (3) 033166-033166. 10.1103/physrevresearch.2.033166
Flanagan R, Lacasa L and Nicosia V (2020). On the spectral properties of Feigenbaum graphs. Journal of Physics a: Mathematical and Theoretical  vol. 53, (2) 10.1088/1751-8121/ab587f
Lacasa L, Stramaglia S and Marinazzo D (2020). Beyond pairwise network similarity: exploring Mediation and Suppression between networks. Corr  vol. abs/2012.09006,


Williams OE, Lacasa L and Latora V (2019). Quantifying and predicting success in show business. Nature Communications  vol. 10, (1) 10.1038/s41467-019-10213-0
Hernández-Fernández A, G. Torre I, Garrido J-M and Lacasa L (2019). Linguistic Laws in Speech: The Case of Catalan and Spanish. Entropy  vol. 21, (12) 10.3390/e21121153
Torre IG, Luque B, Lacasa L, Kello CT and Hernández-Fernández A (2019). On the physical origin of linguistic laws and lognormality in speech. R Soc Open Sci  vol. 6, (8) 10.1098/rsos.191023
Flanagan R, Lacasa L, Towlson EK, Lee SH and Porter MA (2019). Effect of antipsychotics on community structure in functional brain networks. Journal of Complex Networks  vol. 7, (6) 932-960. 10.1093/comnet/cnz013
Iacovacci J and Lacasa L (2019). Visibility graphs for image processing. Institute of Electrical and Electronics Engineers  Ieee Transactions On Pattern Analysis and Machine Intelligence  10.1109/TPAMI.2019.2891742
Bigon L, Cassani G, Greco C, Lacasa L, Pavoni M, Polonioli A and Tagliabue J (2019). Prediction is very hard, especially about conversion. Predicting user purchases from clickstream data in fashion e-commerce. Corr  vol. abs/1907.00400,
Williams OE and Lacasa L (2019). Silver-screen or starving? Predicting success in showbiz. Thesciencebreaker  vol. 05, (04) 10.25250/thescbr.brk286


Lacasa L (2018). Newcomb-Benford law helps customs officers to detect fraud in international trade. Proc Natl Acad Sci U S A  10.1073/pnas.1819470116
Lacasa L and Fernández-Gracia J (2018). Election Forensics: Quantitative methods for electoral fraud detection. Forensic Sci Int  10.1016/j.forsciint.2018.11.010
Amato R, Lacasa L, Díaz-Guilera A and Baronchelli A (2018). The dynamics of norm change in the cultural evolution of language. Proc Natl Acad Sci U S A  vol. 115, (33) 8260-8265. 10.1073/pnas.1721059115
Lacasa L, Mariño IP, Miguez J, Nicosia V, Roldán É, Lisica A, Grill SW and Gómez-Gardeñes J (2018). Multiplex Decomposition of Non-Markovian Dynamics and the Hidden Layer Reconstruction Problem. Physical Review X  vol. 8, (3) 10.1103/PhysRevX.8.031038
Lacasa L and JUST W (2018). Visibility graphs and symbolic dynamics. Physica D  10.1016/j.physd.2018.04.001
Hasson U, Iacovacci J, Davis B, Flanagan R, Tagliazucchi E, Laufs H and Lacasa L (2018). A combinatorial framework to quantify peak/pit asymmetries in complex dynamics. Nature Publishing Group  Scientific Reports  10.1038/s41598-018-21785-0
LACASA L, luque B and miramontes O (2018). On a Dynamical Approach to Some Prime Number Sequences. Mdpi Ag  Entropy  10.3390/e20020131
Fernandez-Gracia J and Lacasa L (2018). Bipartisanship Breakdown, Functional Networks, and Forensic Analysis in Spanish 2015 and 2016 National Elections. Hindawi  Complexity  10.1155/2018/9684749
Ballesteros FJ, Martinez VJ, Luque B, Lacasa L, Valor E and Moya A (2018). On the thermodynamic origin of metabolic scaling. Sci Rep  vol. 8, (1) 1448-1448. 10.1038/s41598-018-19853-6


Sannino S, Stramaglia S, Lacasa L and Marinazzo D (2017). Visibility graphs for fMRI data: Multiplex temporal graphs and their modulations across resting-state networks. Netw Neurosci  vol. 1, (3) 208-221. 10.1162/NETN_a_00012
Lacasa L and Iacovacci J (2017). Visibility graphs of random scalar fields and spatial data. American Physical Society  Physical Review E  10.1103/PhysRevE.96.012318
Torre IG, Luque B, Lacasa L, Luque J and Hernández-Fernández A (2017). Emergence of linguistic laws in human voice. Sci Rep  vol. 7, 43862-43862. 10.1038/srep43862
Luque B and Lacasa L (2017). Canonical horizontal visibility graphs are uniquely determined by their degree sequence. European Physical Journal-Special Topics  vol. 226, (3) 383-389. 10.1140/epjst/e2016-60164-1


Iacovacci J and Lacasa L (2016). Sequential motif profile of natural visibility graphs. Physical Review E  vol. 94, (5) 10.1103/PhysRevE.94.052309
Lacasa L (2016). Emergence of collective intonation in the musical performance of crowds. Epl (Europhysics Letters)  vol. 115, (6) 68004-68004. 10.1209/0295-5075/115/68004
Lacasa L (2016). Horizontal visibility graphs from integer sequences. Iop Publishing: Hybrid Open Access  Journal of Physics a: Mathematical and Theoretical  vol. 49, (35) 10.1088/1751-8113/49/35/35LT01
Luque B, Ballesteros FJ, Robledo A and Lacasa L (2016). Entropy and Renormalization in Chaotic Visibility Graphs. Mathematical Foundations and Applications of Graph Entropy  10.1002/9783527693245.ch1
Flanagan R and Lacasa L (2016). Irreversibility of financial time series: A graph-theoretical approach. Physics Letters A  vol. 380, (20) 1689-1697. 10.1016/j.physleta.2016.03.011
Iacovacci J and Lacasa L (2016). Sequential visibility-graph motifs. American Physical Society  Physical Review E  vol. 93, (4) 10.1103/PhysRevE.93.042309


Lacasa L, Nicosia V and Latora V (2015). Network structure of multivariate time series. Scientific Reports  vol. 5, 10.1038/srep15508
Lacasa L and Flanagan R (2015). Time reversibility from visibility graphs of nonstationary processes. Phys Rev E Stat Nonlin Soft Matter Phys  vol. 92, (2) 10.1103/PhysRevE.92.022817
Luque J, Luque B and Lacasa L (2015). Scaling and universality in the human voice. J R Soc Interface  vol. 12, (105) 10.1098/rsif.2014.1344


Lacasa L and Gómez-Gardeñes J (2014). Analytical estimation of the correlation dimension of integer lattices. Chaos  vol. 24, (4) 10.1063/1.4896332
Lacasa L (2014). On the degree distribution of horizontal visibility graphs associated with Markov processes and dynamical systems: diagrammatic and variational approaches. Nonlinearity  vol. 27, (9) 10.1088/0951-7715/27/9/2063
Luque J, Luque B and Lacasa L (2014). Speech earthquakes: scaling and universality in human voice. Corr  vol. abs/1408.0985,


Núñez ÁM, Lacasa L and Gómez JP (2013). Horizontal Visibility graphs generated by type-II intermittency. Iop Publishing  Journal of Physics a: Mathematical and Theoretical  vol. 47, (3) 035102-035102. 10.1088/1751-8113/47/3/035102
Luque B, Torre IG and Lacasa L (2013). Phase transitions in number theory: from the birthday problem to Sidon sets. Phys Rev E Stat Nonlin Soft Matter Phys  vol. 88, (5) 10.1103/PhysRevE.88.052119
Núñez ÁM, Luque B, Lacasa L, Gómez JP and Robledo A (2013). Horizontal visibility graphs generated by type-I intermittency. Phys Rev E Stat Nonlin Soft Matter Phys  vol. 87, (5) 10.1103/PhysRevE.87.052801
Lacasa L and Gómez-Gardeñes J (2013). Correlation dimension of complex networks. Phys Rev Lett  vol. 110, (16) 10.1103/PhysRevLett.110.168703


Luque B, Lacasa L and Robledo A (2012). Feigenbaum graphs at the onset of chaos. Physics Letters A  vol. 376, (47-48) 3625-3629. 10.1016/j.physleta.2012.10.050
Lacasa L and Luque B (2012). Phase transition in the countdown problem. Phys Rev E Stat Nonlin Soft Matter Phys  vol. 86, (1 Pt 1) 10.1103/PhysRevE.86.010105
NUÑEZ A, LACASA L, VALERO E, GÓMEZ JP and LUQUE B (2012). DETECTING SERIES PERIODICITY WITH HORIZONTAL VISIBILITY GRAPHS. International Journal of Bifurcation and Chaos  vol. 22, (07) 10.1142/s021812741250160x
Lacasa L, Nuñez A, Roldán É, Parrondo JMR and Luque B (2012). Time series irreversibility: a visibility graph approach. The European Physical Journal B  vol. 85, (6) 10.1140/epjb/e2012-20809-8
West J, Lacasa L, Severini S and Teschendorff A (2012). Approximate entropy of network parameters. Phys Rev E Stat Nonlin Soft Matter Phys  vol. 85, (4 Pt 2) 10.1103/PhysRevE.85.046111
Nuñez AM, Lacasa L, Gomez JP and Luque B (2012). Visibility Algorithms: A Short Review. New Frontiers in Graph Theory  10.5772/34810
Luque B, Lacasa L, Ballesteros FJ and Robledo A (2012). Analytical properties of horizontal visibility graphs in the Feigenbaum scenario. Chaos  vol. 22, (1) 10.1063/1.3676686
Lacasa L, Tagliabue J and Berdahl A (2012). Crossover phenomenon in the performance of an Internet search engine. Corr  vol. abs/1205.1505,


Lacasa L (2011). Comment on the existence of a long range correlation in the geomagnetic disturbance storm time (Dst) index. Astrophysics and Space Science  vol. 337, (1) 21-22. 10.1007/s10509-011-0926-0
Valero E, Torrealba M, Lacasa L and Fraysse F (2011). Fast resolution of a single factor Heath–Jarrow–Morton model with stochastic volatility. Journal of Computational and Applied Mathematics  vol. 236, (6) 1637-1655. 10.1016/
Luque B, Lacasa L, Ballesteros FJ and Robledo A (2011). Feigenbaum graphs: a complex network perspective of chaos. Plos One  vol. 6, (9) 10.1371/journal.pone.0022411


Komin N, Lacasa L and Toral R (2010). Critical behavior of a Ginzburg–Landau model with additive quenched noise. Journal of Statistical Mechanics Theory and Experiment  vol. 2010, (12) 10.1088/1742-5468/2010/12/p12008
Lacasa L and Toral R (2010). Description of stochastic and chaotic series using visibility graphs. Phys Rev E Stat Nonlin Soft Matter Phys  vol. 82, (3 Pt 2) 10.1103/PhysRevE.82.036120
Lacasa L, Luque B and Miramontes O (2010). Complex Systems, Numbers and Number Theory. Reviews of Nonlinear Dynamics and Complexity  10.1002/9783527630967.ch4
Mastrangeli M, Schmidt M and Lacasa L (2010). The Roundtable: An Abstract Model of Conversation Dynamics. Journal of Artificial Societies and Social Simulation  vol. 13, (4) 10.18564/jasss.1631
Mastrangeli M, Schmidt M and Lacasa L (2010). The Roundtable: An Abstract Model of Conversation Dynamics. J. Artif. Soc. Soc. Simul.  vol. 13,


Luque B, Lacasa L, Ballesteros F and Luque J (2009). Horizontal visibility graphs: exact results for random time series. Phys Rev E Stat Nonlin Soft Matter Phys  vol. 80, (4 Pt 2) 10.1103/PhysRevE.80.046103
Lacasa L, Cea M and Zanin M (2009). Jamming transition in air transportation networks. Physica a Statistical Mechanics and Its Applications  vol. 388, (18) 3948-3954. 10.1016/j.physa.2009.06.005
Zanin M, Lacasa L and Cea M (2009). Dynamics in scheduled networks. Chaos  vol. 19, (2) 10.1063/1.3129785
Lacasa L, Luque B, Luque J and Nuño JC (2009). The visibility graph: A new method for estimating the Hurst exponent of fractional Brownian motion. Epl (Europhysics Letters)  vol. 86, (3) 10.1209/0295-5075/86/30001
Luque B and Lacasa L (2009). The first-digit frequencies of prime numbers and Riemann zeta zeros. Proceedings of The Royal Society A  vol. 465, (2107) 2197-2216. 10.1098/rspa.2009.0126


Luque B, Miramontes O and Lacasa L (2008). Number theoretic example of scale-free topology inducing self-organized criticality. Phys Rev Lett  vol. 101, (15) 10.1103/PhysRevLett.101.158702
Lacasa L, Luque B, Ballesteros F, Luque J and Nuño JC (2008). From time series to complex networks: the visibility graph. Proc Natl Acad Sci U S A  vol. 105, (13) 4972-4975. 10.1073/pnas.0709247105
Lacasa L, Luque B and Miramontes O (2008). Phase transition and computational complexity in a stochastic prime number generator. New Journal of Physics  vol. 10, (2) 10.1088/1367-2630/10/2/023009


Bascompte J, Luque B, Olarrea J and Lacasa L (2007). A probabilistic model of reserve design. J Theor Biol  vol. 247, (1) 205-211. 10.1016/j.jtbi.2007.02.015
Luque B, Lacasa L and Miramontes O (2007). Phase transition in a stochastic prime-number generator. Phys Rev E Stat Nonlin Soft Matter Phys  vol. 76, (1 Pt 1) 10.1103/PhysRevE.76.010103
Ferrera A, Luque B, Lacasa L and Valero E (2007). Self-overlap as a method of analysis in Ising models. Phys Rev E Stat Nonlin Soft Matter Phys  vol. 75, (6 Pt 1) 10.1103/PhysRevE.75.061103


Lacasa L and Luque B (2006). Bonabeau hierarchy models revisited. Physica a Statistical Mechanics and Its Applications  vol. 366, 472-484. 10.1016/j.physa.2005.10.046


Grants of specific relevance to Applied Data Science
Early career fellowship: SIG-NET
Lacasa L
£379,049 Engineering and Physical Sciences Research Council (01-06-2017 - 31-05-2020)