Current students

• Anna Laura Ferreira Lucchi
• Jean Hideaki Yamada Passos

Former students

• Andreia Itami da Silva
• Diego Domingues Lopes
• Denner Serafim Vieira
• Edenize Sodré dos Santos
• Fernando Jose Antonio
• Giuliano Agostinho Ridolfi
• Giorgio Bombo Gonçalves
• Gustavo Massao Yoshitome
• Leonardo Oliveira Mendes
• Leonardo Ribeiro da Cunha
• Mateus Kiyugoro Machado Watanabe

Publications

2024

• 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, 89-105. 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, 79-88. Advances in Regional Economics, Science and Policy (Routledge, Abingdon, 2024).   PDF Cite DOI
• Shape patterns in popularity series of video games, Leonardo R. Cunha, Arthur A. B. Pessa, Renio S. Mendes, Chaos, Solitons & Fractals 185, 115081 (2024)   PDF DOI
• Complexity of popularity and dynamics of within-game achievements in computer games, Leonardo R. Cunha, Leonardo O. Mendes, and Renio S. Mendes, International Journal of Modern Physics C (Accepted, 2024)   PDF Cite DOI

2023

• 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

2022

• Invasive alien species records are exponentially rising across the Earth, R. P. Mormul, D. S. Vieira, D. Bailly, K. Fidanza, V. F. B. da Silva, W. J. da Graça, V. Pontara, M. L. Bueno, S. M. Thomaz, R. S. Mendes, Biological Invasions 10, 3249 (2022)   PDF Cite DOI
• Characterizing postural sway signals by the analysis of zero-crossing patterns, S. Picoli, G. Bombo, E. S. D. Santos, P. P. Depra, R. S. Mendes, Physica A 596, 127160 (2022).   PDF Cite DOI
• On the dynamics of reporting data: A case study of UFO sightings, F. J. Antonio, A. S. Itami, F. F. Dalmedico, F. S. Mendes, Physica A 603, 127807 (2022).   PDF Cite DOI
• Popularity of Video Games and Collective Memory, Leonardo O. Mendes, Leonardo R. Cunha, Renio S. Mendes, Entropy 24, 860 (2022)   PDF Cite DOI

2021

• Stationary solution and H theorem for a generalized Fokker-Planck equation, Max Jauregui, Anna L. F. Lucchi, Jean H. Y. Passos, Renio S. Mendes, Physical Review E 104, 034130 (2021)   PDF Cite DOI

2020

• 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

• Quantifying postural sway dynamics using burstiness and interevent time distributions, Sergio Picoli, Edenize S. D. Santos, Pedro P. Deprá, Renio S. Mendes, The European Physical Journal B 92, 156 (2019)   PDF Cite DOI
• Anomalous diffusion behavior in parliamentary presence, Denner S. Vieira, Jesus M. E. Riveros, Max Jauregui, Renio S. Mendes, Physical Review E 99, 042141 (2019)   PDF Cite DOI

2018

• Robustness of sentence length measures in written texts, Denner S. Vieira, Sergio Picoli, Renio S. Mendes, Physica A 506, 749--754 (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

2017

• Power-law relaxation in human violent conflicts, Sergio Picoli, Fernando J. Antonio, Andreia S. Itami, Renio S. Mendes, The European Physical Journal B 90, 156 (2017)   PDF Cite DOI
• Spatial patterns of dengue cases in Brazil, Fernando Jose Antonio, Andreia Silva Itami, Sergio Picoli, Jorge Juarez Vieira Teixeira, Renio dos Santos Mendes, PLoS ONE 12, e0180715 (2017)   PDF Cite DOI
• Random Walks Associated with Nonlinear Fokker–Planck Equations, Renio dos Santos Mendes, Ervin Lenzi, Luis Malacarne, Sergio Picoli, Max Jauregui, Entropy 19, 155 (2017)   PDF Cite DOI

2016

• 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
• 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

2015

• 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
• Non-Gaussian center-of-pressure velocity distribution during quiet stance, E. S. D. Santos, S. Picoli, P. P. Deprá, R. S. Mendes, Europhysics Letters 109, 48001 (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
• Very prolonged practice in block of trials: Scaling of fitness, universality and persistence, A.S. Itami, F.J. Antonio, R.S. Mendes, Physica A 424, 82--89 (2015)   PDF Cite DOI

2014

• Growth Patterns and Scaling Laws Governing AIDS Epidemic in Brazilian Cities, Fernando Jose Antonio, Sergio Picoli, Jorge Juarez Vieira Teixeira, Renio dos Santos Mendes, PLoS ONE 9, e111015 (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

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
• 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
• Annihilation dynamics of stringlike topological defects in a nematic lyotropic liquid crystal, R. R. Guimaraes, R. S. Mendes, P. R. G. Fernandes, H. Mukai, Journal of Physics: Condensed Matter 25, 404203 (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
• 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

2012

• 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
• Anomalous Decay in Short Time Response of Ternary Mixtures with Ferrofluid, I. M. Laczkowski, H. Mukai, P. R. G. Fernandes, R. S. Mendes, Luiz Roberto Evangelista, Brazilian Journal of Physics 42, 14--19 (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
• Scale-invariant structure of size fluctuations in plants, S. Picoli, R. S. Mendes, E. K. Lenzi, L. C. Malacarne, Scientific Reports 2, 328 (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
• 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

• 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
• Identifying and modeling patterns oftetrapod vertebrate mortality rates in the Gulf of Mexico oil spill, F.J. Antonio, R.S. Mendes, S.M. Thomaz, Aquatic Toxicology 105, 177--179 (2011)   PDF Cite DOI
• Finite-size effect on the surface deformation thermal mirror method, N. G. C. Astrath, L. C. Malacarne, V. S. Zanuto, M. P. Belancon, R. S. Mendes, M. L. Baesso, C. Jacinto, Journal of the Optical Society of America B 28, 1735 (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
• 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
• A continuous time random walk model with multiple characteristic times, Kwok Sau Fa, R S Mendes, Journal of Statistical Mechanics 2010, P04001 (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
• Analytical solution for mode-mismatched thermal lens spectroscopy with sample-fluid heat coupling, Luis C. Malacarne, Nelson G. C. Astrath, Paulo R. B. Pedreira, Renio S. Mendes, Mauro L. Baesso, Prakash R. Joshi, Stephen E. Bialkowski, Journal of Applied Physics 107, 053104 (2010)   PDF Cite DOI
• Critical exponents for Fréedericskz transition in nematics between concentric cylinders, R. Teixeira de Souza, J.C. Dias, R.S. Mendes, L.R. Evangelista, Physica A 389, 945--950 (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
• q-distributions in complex systems: a brief review, S. Picoli, R. S. Mendes, L. C. Malacarne, R. P. B. Santos, Brazilian Journal of Physics 39, 468 (2009)   PDF DOI
• Solutions for a fractional nonlinear diffusion equation with external force and absorbent term, E K Lenzi, M K Lenzi, L R Evangelista, L C Malacarne, R S Mendes, Journal of Statistical Mechanics 2009, P02048 (2009)   PDF Cite DOI
• Generalized entropy indices to measure α- and β-diversities of macrophytes, H. B. A. Evangelista, S. M. Thomaz, R. S. Mendes, L. R. Evangelista, Brazilian Journal of Physics 39, 396 (2009)   PDF DOI