Current students

• Leonardo Gabriel José Mendes Voltarelli
• Mônica Valério Prates
• Vítor Hugo Ribeiro
• João Pedro Podolan
• Vinícius Schuch Pimpão

Former students

• Arthur Augusto Barizon Pessa
• Angelo Aggio Flores
• Alvaro Franco Martins
• Adriano Henrique Danhoni Neves
• Alexandre de Ramos Alabora
• Andre Seiji Sunahara
• Carlos Henrique Batistela
• Diego Domingues Lopes
• Guilherme Guimaraes Astrath
• Higor Yudi Duenha Sigaki
• Luiz Gustavo de Andrade Alves
• Leandro de Santana Costa
• Mateus Moreira Tarozo
• Renato Hiroaki Ivanaga
• Thibor Rafael Ribeiro Bernardon

Publications

2025

• Complexity-entropy analysis of solar photospheric turbulence: Hinode images of magnetic and Poynting fluxes, A. C.-L. Chian, H. V. Ribeiro, E. L. Rempel, R. A. Miranda, L. B. Rubio, M. Gošić, B. Raphaldini, Y. Narita, Astronomy & Astrophysics 702, L14 (2025)   PDF Cite DOI
• Similarity networks of ordinal-pattern transitions classify falling paper trajectories, Angelo A. Flores, Leonardo G. J. M. Voltarelli, Andre S. Sunahara, Haroldo V. Ribeiro, Arthur A. B. Pessa, Physica A 675, 130825 (2025)   PDF Cite DOI
• Nearest neighbor permutation entropy detects phase transitions in complex high-pressure systems, A. A. B. Pessa, L. G. J. M. Voltarelli, L. Cardozo-Filho, A. G. M. Tamara, C. Dariva, P. M. Ndiaye, M. Perc, H. V. Ribeiro, Scientific Reports 15, 22410 (2025)   PDF Cite DOI
• Structural roles and gender disparities in corruption networks, Arthur A. B. Pessa, Alvaro F. Martins, Monica V. Prates, Sebastian Gonçalves, Cristina Masoller, Matjaz Perc, and Haroldo V. Ribeiro, Scientific Reports 15, 14201 (2025)   PDF Cite DOI
• Diffusion in a comb-structured media: Non-local terms and stochastic resetting, Ervin K. Lenzi, Derik W. Gryczak, Luciano R. da Silva, Haroldo V. Ribeiro, Rafael S. Zola, Quantum Reports 7, 20 (2025)   PDF Cite DOI
• Two-by-two ordinal patterns in art paintings, Mateus M. Tarozo, Arthur A. B. Pessa, Luciano Zunino, Osvaldo A. Rosso, Matjaz Perc, Haroldo V. Ribeiro, PNAS Nexus 4, pgaf092 (2025)   PDF Cite DOI
• Diffusion in comb-structured surfaces coupled to bulk processes, E. K. Lenzi, M. P. Rosseto, D. W. Gryczak, P. A. de Souza, M. K. Lenzi, H. V. Ribeiro, R. S. Zola, Chaos 35, 023130 (2025)   PDF Cite DOI
• Impact of inter-city interactions on disease scaling, Nathalia A. Loureiro, Camilo R. Neto, Jack Sutton, Matjaz Perc, Haroldo V. Ribeiro, Scientific Reports 15, 498 (2025)   PDF Cite DOI

2024

• Urban carbon dioxide emissions and the roles of population, area, and density, Haroldo V. Ribeiro, Jack Sutton, Quentin S. Hanley. Urban Scaling: Allometry in Urban Studies and Spatial Science, chap. Urban carbon dioxide emissions and the roles of population, area, and density, 211-225. Advances in Regional Economics, Science and Policy (Routledge, Abingdon, 2024).   PDF Cite DOI
• Density scaling laws and rural-to-urban transitions, Haroldo V. Ribeiro, Jack Sutton, Quentin S. Hanley. Urban Scaling: Allometry in Urban Studies and Spatial Science, chap. Density scaling laws and rural-to-urban transitions, 98-109. Advances in Regional Economics, Science and Policy (Routledge, Abingdon, 2024).   PDF Cite DOI
• Connection between Zipf's law and urban scaling, Haroldo V. Ribeiro, Luiz G. A. Alves, Ervin K. Lenzi, Fabiano L. Ribeiro, and Renio S. Mendes. Urban Scaling: Allometry in Urban Studies and Spatial Science, chap. Connection between Zipf's law and urban scaling, 81-97. Advances in Regional Economics, Science and Policy (Routledge, Abingdon, 2024).   PDF Cite DOI
• Comparing cities of different sizes with scale-adjusted metrics, Haroldo V. Ribeiro, Luiz G. A. Alves, Ervin K. Lenzi, Fabiano L. Ribeiro, and Renio S. Mendes. Urban Scaling: Allometry in Urban Studies and Spatial Science, chap. Comparing cities of different sizes with scale-adjusted metrics, 71-80. Advances in Regional Economics, Science and Policy (Routledge, Abingdon, 2024).   PDF Cite DOI
• Quantifying the 15-minute city concept, Haroldo V. Ribeiro, Nature Cities 10, (2024)   PDF Cite DOI
• Characterizing unstructured data with the nearest neighbor permutation entropy, Leonardo G. J. M. Voltarelli, Arthur A. B. Pessa, Luciano Zunino, Rafael S. Zola, Ervin K. Lenzi, Matjaz Perc, Haroldo V. Ribeiro, Chaos 34, 053130 (2024)   PDF Cite DOI
• A heteroscedastic Bayesian generalized logistic regression model with application to scaling problems, Jack Sutton, Golnaz Shahtahmassebi, Quentin S. Hanley, Haroldo V. Ribeiro, Chaos, Solitons & Fractals 182, 114787 (2024)   PDF Cite DOI

2023

• Universal productivity patterns in research careers, Andre S. Sunahara, Matjaz Perc, Haroldo V. Ribeiro, Physical Review Research 5, 043203 (2023)   PDF Cite DOI
• Results for nonlinear diffusion equations with stochastic resetting, Ervin K. Lenzi, Rafael S. Zola, Michely P. Rosseto, Renio S. Mendes, Haroldo V. Ribeiro, Luciano R. da Silva, Luiz R. Evangelista, Entropy 25, 1647 (2023)   PDF Cite DOI
• Interplay between particle trapping and heterogeneity in anomalous diffusion, Haroldo V. Ribeiro, Angel A. Tateishi, Ervin K. Lenzi, Richard L. Magin, Matjaz Perc, Communications Physics 6, 244 (2023)   PDF Cite DOI
• Complexity of the COVID-19 pandemic in Maringá, Andre S. Sunahara, Arthur A. B. Pessa, Matjaž Perc, Haroldo V. Ribeiro, Scientific Reports 13, 12695 (2023)   PDF Cite DOI
• Deep learning criminal networks, Haroldo V. Ribeiro, Diego D. Lopes, Arthur A.B. Pessa, Alvaro F. Martins, Bruno R. da Cunha, Sebastián Gonçalves, Ervin K. Lenzi, Quentin S. Hanley, Matjaž Perc, Chaos, Solitons & Fractals 172, 113579 (2023)   PDF Cite DOI
• Age and market capitalization drive large price variations of cryptocurrencies, Arthur A. B. Pessa, Matjaž Perc, Haroldo V. Ribeiro, Scientific Reports 13, 3351 (2023)   PDF Cite DOI

2022

• Effects of shady environments on fish collective behavior, Haroldo V. Ribeiro, Matthew R. Acre, Jacob D. Faulkner, Leonardo R. da Cunha, Katelyn M. Lawson, James J. Wamboldt, Marybeth K. Brey, Christa M. Woodley, Robin D. Calfee, Scientific Reports 12, 17873 (2022)   PDF Cite DOI
• Machine Learning Partners in Criminal Networks, D. D. Lopes, B. R. da Cunha, A. F. Martins, S. Goncalves, E. K. Lenzi, Q. S. Hanley, M. Perc, H. V. Ribeiro, Scientific Reports 12, 15746 (2022)   PDF Cite DOI
• Schrödinger Equation with Geometric Constraints and Position-Dependent Mass, E. K. Lenzi, L. R. Evangelista, H. V. Ribeiro, R. L. Magin, Quantum Reports 4, 296 (2022)   PDF Cite DOI
• The Physics of Cities, Fabiano L. Ribeiro, Matjaž Perc, Haroldo V. Ribeiro, Frontiers in Physics 10, 964701 (2022)   PDF Cite DOI
• Clustering free-falling paper motion with complexity and entropy, Arthur A. B. Pessa, Matjaž Perc, Haroldo V. Ribeiro, Europhysics Letters 138, 30003 (2022)   PDF Cite DOI
• Universality of political corruption networks, Alvaro F. Martins, Bruno R. da Cunha, Quentin S. Hanley, Sebastián Gonçalves, Matjaž Perc, Haroldo V. Ribeiro, Scientific Reports 12, 6858 (2022)   PDF Cite DOI
• Permutation Jensen-Shannon distance: A versatile and fast symbolic tool for complex time-series analysis, Luciano Zunino, Felipe Olivares, Haroldo V. Ribeiro, Osvaldo A. Rosso, Physical Review E 105, 045310 (2022)   PDF Cite DOI
• Fractional Diffusion with Geometric Constraints: Application to Signal Decay in Magnetic Resonance Imaging (MRI), Ervin K. Lenzi, Haroldo V. Ribeiro, Marcelo K. Lenzi, Luiz R. Evangelista, Richard L. Magin, Mathematics 10, 389 (2022)   PDF Cite DOI
• Population Density and Spreading of COVID-19 in England and Wales, Jack Sutton, Golnaz Shahtahmassebi, Haroldo V. Ribeiro, Quentin S. Hanley, PLoS ONE 17, e0261725 (2022)   PDF Cite DOI
• Determining liquid crystal properties with ordinal networks and machine learning, Arthur A.B. Pessa, Rafael S. Zola, Matjaž Perc, Haroldo V. Ribeiro, Chaos, Solitons & Fractals 154, 111607 (2022)   PDF Cite DOI
• Transient anomalous diffusion in heterogeneous media with stochastic resetting, M.K. Lenzi, E.K. Lenzi, L.M.S. Guilherme, L.R. Evangelista, H.V. Ribeiro, Physica A 588, 126560 (2022)   PDF Cite DOI

2021

• Commuting network effect on urban wealth scaling, Luiz G. A. Alves, Diego Rybski, Haroldo V. Ribeiro, Scientific Reports 11, 22918 (2021)   PDF Cite DOI
• Sorption-Desorption, Surface diffusion, and Memory Effects in a 3D System, P. M. Ndiaye, F. W. Tavares, E. K. Lenzi, L. R. Evangelista, H. V. Ribeiro, D. Marin, L. M. S. Guilherme, R. S. Zola, Journal of Statistical Mechanics (2021)   PDF DOI
• Association between productivity and journal impact across disciplines and career age, Andre S. Sunahara, Matjaž Perc, Haroldo V. Ribeiro, Physical Review Research 3, 033158 (2021)   PDF Cite DOI
• ordpy: A Python package for data analysis with permutation entropy and ordinal network methods, Arthur A. B. Pessa, Haroldo V. Ribeiro, Chaos 31, 063110 (2021)   PDF Cite DOI
• Association between population distribution and urban GDP scaling, Haroldo V. Ribeiro, Milena Oehlers, Ana I. Moreno-Monroy, Jürgen P. Kropp, Diego Rybski, PLoS ONE 16, e0245771 (2021)   PDF Cite DOI

2020

• Collective dynamics of stock market efficiency, Luiz G. A. Alves, Higor Y. D. Sigaki, Matjaž Perc, Haroldo V. Ribeiro, Scientific Reports 10, 21992 (2020)   PDF Cite DOI
• Mapping images into ordinal networks, Arthur A. B. Pessa, Haroldo V. Ribeiro, Physical Review E 102, 052312 (2020)   PDF Cite DOI
• Rural-Urban Scaling of Age, Mortality, Crime and Property Reveals a Loss of Expected Self-Similar Behaviour, Jack Sutton, Golnaz Shahtahmassebi, Haroldo V. Ribeiro, Quentin S. Hanley, Scientific Reports 10, 16863 (2020)   PDF Cite DOI
• City size and the spreading of COVID-19 in Brazil, Haroldo V. Ribeiro, Andre S. Sunahara, Jack Sutton, Matjaž Perc, Quentin S. Hanley, PLoS ONE 15, e0239699 (2020)   PDF Cite DOI
• Anomalous diffusion and sorption-desorption process in complex fluid systems, F.W. Tavares, P.M. Ndiaye, E.K. Lenzi, L.R. Evangelista, H.V. Ribeiro, R.S. Zola, Communications in Nonlinear Science and Numerical Simulation 90, 105411 (2020)   PDF Cite DOI
• Anomalous diffusion and random search in xyz-comb: exact results, E K Lenzi, T Sandev, H V Ribeiro, P Jovanovski, A Iomin, L Kocarev, Journal of Statistical Mechanics 2020, 053203 (2020)   PDF Cite DOI
• Learning physical properties of liquid crystals with deep convolutional neural networks, Higor Y. D. Sigaki, Ervin K. Lenzi, Rafael S. Zola, Matjaž Perc, Haroldo V. Ribeiro, Scientific Reports 10, 7664 (2020)   PDF Cite DOI
• Quenched and Annealed Disorder Mechanisms in Comb-Models with Fractional Operators, A. A. Tateishi, H. V. Ribeiro, T. Sandev, I. Petreska, E. K. Lenzi, Physical Review E 101, 022135 (2020)   PDF Cite DOI
• Gender difference in candidature processes for Brazilian elections, M. C. Mantovani, R.S. Mendes, J.T.G. Souza, H.V. Ribeiro, Physica A 537, 122525 (2020)   PDF Cite DOI

2019

• Extensions and Solutions for Nonlinear Diffusion Equations and Random Walks, E. K. Lenzi, M. K. Lenzi, H. V. Ribeiro, L. R. Evangelista, Proceedings of the Royal Society A 475, 20190432 (2019)   PDF Cite DOI
• Characterizing stochastic time series with ordinal networks, Arthur A. B. Pessa, Haroldo V. Ribeiro, Physical Review E 100, 042304 (2019)   PDF Cite DOI
• Effects of changing population or density on urban carbon dioxide emissions, Haroldo V. Ribeiro, Diego Rybski, Jürgen P. Kropp, Nature Communications 10, 3204 (2019)   PDF Cite DOI
• Estimating physical properties from liquid crystal textures via machine learning and complexity-entropy methods, H. Y. D. Sigaki, R. F. de Souza, R. T. de Souza, R. S. Zola, H. V. Ribeiro, Estimating physical properties from liquid crystal textures via machine learning and complexity-entropy methods. Phys. Rev. E 99, 013311 (2019)   PDF Cite DOI
• Clustering patterns in efficiency and the coming-of-age of the cryptocurrency market, Higor Y. D. Sigaki, Matjaž Perc, Haroldo V. Ribeiro, Scientific Reports 9, 1440 (2019)   PDF Cite DOI
• The hidden traits of endemic illiteracy in cities, Luiz G.A. Alves, José S. Andrade, Quentin S. Hanley, Haroldo V. Ribeiro, Physica A 515, 566--574 (2019)   PDF Cite DOI

2018

• History of art paintings through the lens of entropy and complexity, Higor Y. D. Sigaki, Matjaž Perc, Haroldo V. Ribeiro, Proc. Natl. Acad. Sci. U.S.A. 115, E8585-E8594 (2018)   PDF Cite DOI
• A nonlinear Fokker–Planck equation approach for interacting systems: Anomalous diffusion and Tsallis statistics, D. Marin, M.A. Ribeiro, H.V. Ribeiro, E.K. Lenzi, Physics Letters A 382, 1903--1907 (2018)   PDF Cite DOI
• Crime prediction through urban metrics and statistical learning, Luiz G.A. Alves, Haroldo V. Ribeiro, Francisco A. Rodrigues, Physica A 505, 435--443 (2018)   PDF Cite DOI
• Nonlinear Diffusion Equation with Reaction Terms: Analytical and Numerical Results, E.K. Lenzi, M.A. Ribeiro, M.E.K. Fuziki, M.K. Lenzi, H.V. Ribeiro, Applied Mathematics and Computation 330, 254--265 (2018)   PDF Cite DOI
• Unveiling Relationships Between Crime and Property in England and Wales Via Density Scale-Adjusted Metrics and Network Tools, Haroldo V. Ribeiro, Quentin S. Hanley, Dan Lewis, PLoS ONE 13, e0192931 (2018)   PDF Cite DOI
• Characterization of Time Series Via Rényi Complexity-Entropy Curves, M. Jauregui, L. Zunino, E.K. Lenzi, R.S. Mendes, H.V. Ribeiro, Physica A 498, 74--85 (2018)   PDF Cite DOI
• The dynamical structure of political corruption networks, Haroldo V Ribeiro, Luiz G A Alves, Alvaro F Martins, Ervin K Lenzi, Matjaž Perc, Journal of Complex Networks 6, 989--1003 (2018)   PDF Cite DOI

2017

• The role of fractional time-derivative operators on anomalous diffusion, Angel A. Tateishi, Haroldo V. Ribeiro, Ervin K. Lenzi, Frontiers in Physics 5, 52 (2017)   PDF Cite DOI
• Fractional Calculus in Electrical Impedance Spectroscopy: Poisson-Nernst-Planck model and Extensions, E. K. Lenzi, R. S. Zola, H. V. Ribeiro, L. R. Evangelista, International Journal of Electrochemical Science 12 (2017)   PDF DOI
• Characterizing Time Series via Complexity-Entropy Curves, Haroldo V. Ribeiro, Max Jauregui, Luciano Zunino, Ervin K. Lenzi, Physical Review E 95, 062106 (2017)   PDF Cite DOI
• Ion Motion in Electrolytic Cells: Anomalous Diffusion Evidences, E. K. Lenzi, R. S. Zola, H. V. Ribeiro, Denner S. Vieira, F. Ciuchi, A. Mazzulla, N. Scaramuzza, L. R. Evangelista, Journal of Physical Chemistry B 121, 2882--2886 (2017)   PDF Cite DOI
• Intermittent Motion, Nonlinear Diffusion Equation and Tsallis Formalism, Ervin Lenzi, Luciano da Silva, Marcelo Lenzi, Maike dos Santos, Haroldo Valentin Ribeiro, Luiz Evangelista, Entropy 19, 42 (2017)   PDF Cite DOI
• Asymptotic behaviors of the Poisson-Nernst-Planck model, generalizations and best adjust of experimental data, E.K. Lenzi, R.S. Zola, R. Rossato, H.V. Ribeiro, D.S. Vieira, L.R. Evangelista, Electrochimica Acta 226, 40--45 (2017)   PDF Cite DOI

2016

• Anomalous diffusion and transport in heterogeneous systems separated by a membrane, E. K. Lenzi, H. V. Ribeiro, A. A. Tateishi, R. S. Zola, L. R. Evangelista, Proceedings of the Royal Society A 472, 20160502 (2016)   PDF Cite DOI
• Differences in Collaboration Patterns across Discipline, Career Stage, and Gender, Xiao Han T. Zeng, Jordi Duch, Marta Sales-Pardo, João A. G. Moreira, Filippo Radicchi, Haroldo V. Ribeiro, Teresa K. Woodruff, Luís A. Nunes Amaral, PLoS Biology 14, e1002573 (2016)   PDF Cite DOI
• Discriminating image textures with the multiscale two-dimensional complexity-entropy causality plane, Luciano Zunino, Haroldo V. Ribeiro, Chaos, Solitons & Fractals 91, 679--688 (2016)   PDF Cite DOI
• Extensive Characterization of Seismic Laws in Acoustic Emissions of Crumpled Plastic Sheets, Leandro S. Costa, Ervin K. Lenzi, Renio S. Mendes, Haroldo V. Ribeiro, Europhysics Letters 114, 59002 (2016)   PDF Cite DOI
• Fractional diffusion equations coupled by reaction terms, E.K. Lenzi, R. Menechini Neto, A.A. Tateishi, M.K. Lenzi, H.V. Ribeiro, Physica A 458, 9--16 (2016)   PDF Cite DOI
• The advantage of playing home in NBA: microscopic, team-specific and evolving features, Haroldo V. Ribeiro, Satyam Mukherjee, Xiao Han T. Zeng, PLoS ONE 11, e0152440 (2016)   PDF Cite DOI
• Transient superdiffusion and long-range correlations in the motility patterns of trypanosomatid flagellate protozoa, Luiz G. A. Alves, Débora B. Scariot, Renato R. Guimaraes, Celso V. Nakamura, Renio S. Mendes, Haroldo V. Ribeiro, PLoS ONE 11, e0152092 (2016)   PDF Cite DOI
• Rural to urban population density scaling of crime and property transactions in English and Welsh Parliamentary Constituencies, Quentin S. Hanley, Dan Lewis, Haroldo V. Ribeiro, PLoS ONE 11, e0149546 (2016)   PDF Cite DOI
• Characterization of river flow fluctuations via horizontal visibility graphs, A.C. Braga, L.G.A. Alves, L.S. Costa, A.A. Ribeiro, M.M.A. de Jesus, A.A. Tateishi, H.V. Ribeiro, Physica A 444, 1003--1011 (2016)   PDF Cite DOI
• Solutions for a sorption process governed by a fractional diffusion equation, E.K. Lenzi, M.A.F. dos Santos, D.S. Vieira, R.S. Zola, H.V. Ribeiro, Physica A 443, 32--41 (2016)   PDF Cite DOI

2015

• Electrolytic cell containing different groups of ions with anomalous diffusion approach, F.R.G.B. Silva, R. Rossato, E.K. Lenzi, R.S. Zola, H.V. Ribeiro, M.K. Lenzi, G. Gonçalves, Journal of Electroanalytical Chemistry 746, 25--30 (2015)   PDF Cite DOI
• Scale-adjusted metrics for predicting the evolution of urban indicators and quantifying the performance of cities, Luiz G. A. Alves, Renio S. Mendes, Ervin K. Lenzi, Haroldo V. Ribeiro, PLoS ONE 10, e0134862 (2015)   PDF Cite DOI
• Analogies between the cracking noise of ethanol-dampened charcoal and earthquakes, H. V. Ribeiro, L. S. Costa, L. G. A. Alves, P. A. Santoro, S Picoli, E. K. Lenzi, R. S. Mendes, Phys. Rev. Lett. 115, 025503 (2015).   PDF DOI
• Spatial correlations, clustering and percolation-like transitions in homicide crimes, L. G. A. Alves, E. K. Lenzi, R. S. Mendes, H. V. Ribeiro, Europhysics Letters 111, 18002 (2015)   PDF Cite DOI
• We need more empirical investigations and model validation for a better understanding of crime - Comment on 'Statistical physics of crime: A review' by M.R. D'Orsogna and M. Perc, Haroldo V. Ribeiro, Physics of Life Reviews 12, 36--37 (2015)   PDF Cite DOI
• Unusual diffusing regimes caused by different adsorbing surfaces, Veridiana G. Guimarães, Haroldo V. Ribeiro, Quan Li, Luiz R. Evangelista, Ervin K. Lenzi, Rafael S. Zola, Soft Matter 11, 1658--1666 (2015)   PDF Cite DOI
• Solutions for a q-generalized Schrödinger equation of entangled interacting particles, L. G. A. Alves, H. V. Ribeiro, M. A. F. Santos, R. S. Mendes, E. K. Lenzi, Solutions for a q-generalized Schrödinger equation of entangled interacting particles. Physica A 429, 35 (2015)   PDF Cite DOI

2014

• Fractional diffusion equation, boundary conditions and surface effects, E K Lenzi, A A Tateishi, H V Ribeiro, M K Lenzi, G Gonçalves, L R da Silva, Journal of Statistical Mechanics 2014, P08019 (2014)   PDF Cite DOI
• Investigating the interplay between mechanisms of anomalous diffusion via fractional Brownian walks on a comb-like structure, Haroldo V Ribeiro, Angel A Tateishi, Luiz G A Alves, Rafael S Zola, Ervin K Lenzi, New Journal of Physics 16, 093050 (2014)   PDF Cite DOI
• Reaction on a solid surface supplied by an anomalous mass transfer source, E.K. Lenzi, M.K. Lenzi, R.S. Zola, H.V. Ribeiro, F.C. Zola, L.R. Evangelista, G. Gonçalves, Physica A 410, 399--406 (2014)   PDF Cite DOI
• Empirical analysis on the connection between power-law distributions and allometries for urban indicators, L.G.A. Alves, H.V. Ribeiro, E.K. Lenzi, R.S. Mendes, Physica A 409, 175--182 (2014)   PDF Cite DOI
• Universal bursty behaviour in human violent conflicts, S. Picoli, M. del Castillo-Mussot, H. V. Ribeiro, E. K. Lenzi, R. S. Mendes, Scientific Reports 4, 4773 (2014)   PDF Cite DOI
• Fractional Diffusion Equations and Equivalent Circuits Applied to Ionic Solutions, F. R. G. B. Silva, H. V. Ribeiro, M. K. Lenzi, T. Petrucci, F. S. Michels, E. K. Lenzi, International Journal of Electrochemical Science 9, 2849 (2014)   PDF Cite

2013

• Long-range spatial correlations and fluctuation statistics of lightning activity rates in Brazil, H. V. Ribeiro, F. J. Antonio, L. G. A. Alves, E. K. Lenzi, R. S. Mendes, Europhysics Letters 104, 69001 (2013)   PDF Cite DOI
• First passage time for a diffusive process under a geometric constraint, A A Tateishi, F S Michels, M A F dos Santos, E K Lenzi, H V Ribeiro, Journal of Statistical Mechanics 2013, P09017 (2013)   PDF Cite DOI
• Engagement in the electoral processes: Scaling laws and the role of the political positions, M. C. Mantovani, H. V. Ribeiro, E. K. Lenzi, S. Picoli, R. S. Mendes, Physical Review E 88, 024802 (2013)   PDF Cite DOI
• Time dependent solutions for a fractional Schrödinger equation with delta potentials, E. K. Lenzi, H. V. Ribeiro, M. A. F. dos Santos, R. Rossato, R. S. Mendes, Journal of Mathematical Physics 54, 082107 (2013)   PDF Cite DOI
• Distance to the scaling law: a useful approach for unveiling relationships between crime and urban metrics, Luiz G. A. Alves, Haroldo V. Ribeiro, Ervin K. Lenzi, Renio S. Mendes, PLoS ONE 8, e69580 (2013)   PDF Cite DOI
• Antipersistent behavior of defects in a lyotropic liquid crystal during annihilation, H. V. Ribeiro, R. R. Guimaraes, R. T. Teixeira-Souza, H. Mukai, P. R. G. Fernandes, E. K. Lenzi, R. S. Mendes, Physical Review E 87, 054501 (2013)   PDF Cite DOI
• Scaling laws in the dynamics of crime growth rate, Luiz G.A. Alves, Haroldo V. Ribeiro, Renio S. Mendes, Physica A 392, 2672--2679 (2013)   PDF Cite DOI
• Diffusive process on a backbone structure with drift terms, E. K. Lenzi, L. R. da Silva, A. A. Tateishi, M. K. Lenzi, H. V. Ribeiro, Physical Review E 87, 012121 (2013)   PDF Cite DOI
• Move-by-move dynamics of the advantage in chess matches reveals population-level learning of the game, Haroldo V. Ribeiro, Renio S. Mendes, Ervin K. Lenzi, Marcelo del Castillo-Mussot, Luís A. N. Amaral, PLoS ONE 8, e54165 (2013)   PDF Cite DOI
• Anomalous Diffusion and Electrical Response of Ionic Solutions, E. K. Lenzi, P. R. G. Fernandes, T. Petrucci, H. Mukai, H. V. Ribeiro, M. K. Lenzi, G. Gonçalves, International Journal of Electrochemical Science 8, 2849 (2013)   PDF Cite

2012

• Anomalous diffusion and long-range correlations in the score evolution of the game of cricket, Haroldo V. Ribeiro, Satyam Mukherjee, Xiao Han T. Zeng, Physical Review E 86, 022102 (2012)   PDF Cite DOI
• Continuous Time Random Walk and different diffusive regimes, Haroldo Valetin Ribeiro, Roberto Rossato, Angel Akio Tateishi, Ervin Kaminski Lenzi, Renio dos Santos Mendes, Acta Scientiarum. Technology 34, 201 (2012)   PDF Cite DOI
• Complexity-Entropy Causality Plane as a Complexity Measure for Two-Dimensional Patterns, Haroldo V. Ribeiro, Luciano Zunino, Ervin K. Lenzi, Perseu A. Santoro, Renio S. Mendes, PLoS ONE 7, e40689 (2012)   PDF Cite DOI
• Solutions for a fractional diffusion equation with noninteger dimensions, L.S. Lucena, L.R. da Silva, A.A. Tateishi, M.K. Lenzi, H.V. Ribeiro, E.K. Lenzi, Nonlinear Analysis: Real World Applications 13, 1955--1960 (2012)   PDF Cite DOI
• Different diffusive regimes, generalized Langevin and diffusion equations, A. A. Tateishi, E. K. Lenzi, L. R. da Silva, H. V. Ribeiro, S. Picoli, R. S. Mendes, Physical Review E 85, 011147 (2012)   PDF Cite DOI
• Fractional Schrodinger equation with noninteger dimensions, J. Martins, H.V. Ribeiro, L.R. Evangelista, L.R. da Silva, E.K. Lenzi, Applied Mathematics and Computation 219, 2313--2319 (2012)   PDF Cite DOI
• Complexity-entropy causality plane: A useful approach for distinguishing songs, Haroldo V. Ribeiro, Luciano Zunino, Renio S. Mendes, Ervin K. Lenzi, Physica A 391, 2421--2428 (2012)   PDF Cite DOI

2011

• Anomalous-diffusion approach applied to the electrical response of water, E. K. Lenzi, P. R. G. Fernandes, T. Petrucci, H. Mukai, H. V. Ribeiro, Physical Review E 84, 041128 (2011)   PDF Cite DOI
• Scaling laws and universality in the choice of election candidates, M. C. Mantovani, H. V. Ribeiro, M. V. Moro, S. Picoli, R. S. Mendes, Europhysics Letters 96, 48001 (2011)   PDF Cite DOI
• Exact propagator for a Fokker-Planck equation, first passage time distribution, and anomalous diffusion, A. T. Silva, E. K. Lenzi, L. R. Evangelista, M. K. Lenzi, H. V. Ribeiro, A. A. Tateishi, Journal of Mathematical Physics 52, 083301 (2011)   PDF Cite DOI
• Non-Markovian diffusion equation and diffusion in a porous catalyst, Ervin Kaminski Lenzi, Haroldo Valentin Ribeiro, Jackes Martins, Marcelo Kaminski Lenzi, Giane Gonçalves Lenzi, Stefania Specchia, Chemical Engineering Journal 172, 1083--1087 (2011)   PDF Cite DOI
• Anomalous diffusion in a symbolic model, H V Ribeiro, E K Lenzi, R S Mendes, P A Santoro, Physica Scripta 83, 045007 (2011)   PDF Cite DOI
• Spreading Patterns of the Influenza A (H1N1) Pandemic, Sergio Picoli, Jorge Juarez Vieira Teixeira, Haroldo Valentin Ribeiro, Luis Carlos Malacarne, Ricardo Paupitz Barbosa dos Santos, Renio dos Santos Mendes, PLoS ONE 6, e17823 (2011)   PDF Cite DOI
• Solutions for a diffusion equation with a backbone term, A A Tateishi, E K Lenzi, H V Ribeiro, L R Evangelista, R S Mendes, L R da Silva, Journal of Statistical Mechanics 2011, P02022 (2011)   PDF Cite DOI
• The soundscape dynamics of human agglomeration, Haroldo V Ribeiro, Rodolfo T de Souza, Ervin K Lenzi, Renio S Mendes, Luiz R Evangelista, New Journal of Physics 13, 023028 (2011)   PDF Cite DOI
• On the dynamics of bubbles in boiling water, H.V. Ribeiro, R.S. Mendes, E.K. Lenzi, M.P. Belancon, L.C. Malacarne, Chaos, Solitons & Fractals 44, 178--183 (2011)   PDF Cite DOI
• Universal patterns in sound amplitudes of songs and music genres, R. S. Mendes, H. V. Ribeiro, F. C. M. Freire, A. A. Tateishi, E. K. Lenzi, Physical Review E 83, 017101 (2011)   PDF Cite DOI

2010

• Earthquake-like patterns of acoustic emission in crumpled plastic sheets, R. S. Mendes, L. C. Malacarne, R. P. B. Santos, H. V. Ribeiro, S. Picoli, Europhysics Letters 92, 29001 (2010)   PDF Cite DOI
• Solutions for a non-Markovian diffusion equation, E.K. Lenzi, L.R. Evangelista, M.K. Lenzi, H.V. Ribeiro, E.C. de Oliveira, Physics Letters A 374, 4193--4198 (2010)   PDF Cite DOI
• Continuous-time random walk as a guide to fractional Schrödinger equation, E. K. Lenzi, H. V. Ribeiro, H. Mukai, R. S. Mendes, Journal of Mathematical Physics 51, 092102 (2010)   PDF Cite DOI
• Dynamics of tournaments: the soccer case, H. V. Ribeiro, R. S. Mendes, L. C. Malacarne, S. Picoli, P. A. Santoro, The European Physical Journal B 75, 327--334 (2010)   PDF Cite DOI

2009

• Symbolic Sequences and Tsallis Entropy, H. V. Ribeiro, E. K. Lenzi, R. S. Mendes, G. A. Mendes, L. R. da Silva, Brazilian Journal of Physics 39, 444 (2009)   PDF DOI