World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
39
Citations
5583
World Ranking
2229
National Ranking
17

Ervin K. Lenzi publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Ervin K. Lenzi sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 246 publications — 76th percentile

76% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Ervin K. Lenzi D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Ervin K. Lenzi sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 39 D-Index — 41st percentile

41% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Ervin K. Lenzi is affiliated with Ponta Grossa State University in Brazil, engaging in research across several intersecting domains of mathematics, engineering, and physics and astronomy. Their work spans a range of theoretical and applied topics grounded largely in fractional calculus and complex systems modeling.

The main fields of study in Lenzi's research include:

  • Mathematics
  • Engineering
  • Physics and Astronomy

More specifically, their subfields of study cover:

  • Modeling and Simulation
  • Statistical and Nonlinear Physics
  • Mechanics of Materials
  • Biomedical Engineering
  • Materials Chemistry

Their research focuses on core topics such as:

  • Fractional Differential Equations Solutions
  • Material Dynamics and Properties
  • Diffusion and Search Dynamics
  • Thermography and Photoacoustic Techniques
  • Statistical Mechanics and Entropy
  • Stochastic Dynamics and Bifurcation
  • Theoretical and Computational Physics

Ervin K. Lenzi has contributed to several recent papers including:

  • Learning physical properties of liquid crystals with deep convolutional neural networks (2020, Scientific Reports)
  • Generalized Cattaneo (telegrapher's) equations in modeling anomalous diffusion phenomena (2020, Physical review. E)
  • Deep learning criminal networks (2023, Chaos Solitons & Fractals)
  • Machine learning partners in criminal networks (2022, Scientific Reports)
  • A Survey of Fractional Order Calculus Applications of Multiple-Input, Multiple-Output (MIMO) Process Control (2020, Fractal and Fractional)

Notable collaboration partners frequently appearing in Lenzi's work include:

  • L. R. Evangelista
  • Rafael S. Zola
  • Marcelo Kaminski Lenzi
  • Haroldo V. Ribeiro
  • Enrique C. Gabrick

Ervin K. Lenzi has published primarily in the following venues:

  • Fractal and Fractional
  • arXiv (Cornell University)
  • Mathematics
  • Communications in Nonlinear Science and Numerical Simulation
  • Chaos An Interdisciplinary Journal of Nonlinear Science

Among their contributions to book literature, they have a publication with Springer International Publishing entitled An Introduction to Anomalous Diffusion and Relaxation (2023), which has been cited in academic contexts.

Best Publications

  • The Role of Fractional Time-Derivative Operators on Anomalous Diffusion

    Angel A. Tateishi;Haroldo V. Ribeiro;Ervin K. Lenzi

  • Fractional Diffusion Equations and Anomalous Diffusion

    Luiz Roberto Evangelista;Ervin Kaminski Lenzi

  • Statistical mechanics based on Renyi entropy

    E.K. Lenzi;R.S. Mendes;L.R. da Silva

  • The dynamical structure of political corruption networks

    Haroldo V. Ribeiro;Luiz G. A. Alves;Alvaro F. Martins;Ervin K. Lenzi

  • 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

  • Escape time in anomalous diffusive media.

    E. K. Lenzi;C. Anteneodo;L. Borland

  • Nonlinear equation for anomalous diffusion: Unified power-law and stretched exponential exact solution.

    L. C. Malacarne;R. S. Mendes;I. T. Pedron;E. K. Lenzi

  • Anomalous diffusion: nonlinear fractional Fokker–Planck equation

    C. Tsallis;E.K. Lenzi

  • Complexity-entropy causality plane as a complexity measure for two-dimensional patterns.

    Haroldo V. Ribeiro;Luciano José Zunino;Luciano José Zunino;Ervin K. Lenzi;Perseu A. Santoro

  • Quantum Statistical Mechanics for Nonextensive Systems: Prediction for Possible Experimental Tests

    A. K. Rajagopal;R. S. Mendes;E. K. Lenzi

  • Complexity–entropy causality plane: A useful approach for distinguishing songs

    Haroldo V. Ribeiro;Haroldo V. Ribeiro;Luciano José Zunino;Luciano José Zunino;Renio S. Mendes;Ervin K. Lenzi

  • Characterizing time series via complexity-entropy curves.

    Haroldo V. Ribeiro;Max Jauregui;Luciano José Zunino;Luciano José Zunino;Ervin K. Lenzi

  • Crossover in diffusion equation: anomalous and normal behaviors.

    E. K. Lenzi;R. S. Mendes;C. Tsallis

  • Anomalous diffusion governed by a fractional diffusion equation and the electrical response of an electrolytic cell.

    P. A. Santoro;J. L. de Paula;E. K. Lenzi;L. R. Evangelista

  • Perturbation and variational methods in nonextensive Tsallis statistics

    E. K. Lenzi;L. C. Malacarne;R. S. Mendes

  • Comparison of Impedance Spectroscopy Expressions and Responses of Alternate Anomalous Poisson−Nernst−Planck Diffusion Equations for Finite-Length Situations

    J. Ross Macdonald;Luiz Roberto Evangelista;Ervin Kaminski Lenzi;Ervin Kaminski Lenzi;Giovanni Barbero

  • Anomalous diffusion, nonlinear fractional Fokker–Planck equation and solutions

    E.K. Lenzi;L.C. Malacarne;R.S. Mendes;I.T. Pedron

  • 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

  • Fractional Diffusion Equation and the Electrical Impedance: Experimental Evidence in Liquid-Crystalline Cells

    F. Ciuchi;A. Mazzulla;N. Scaramuzza;E. K. Lenzi

  • Universal bursty behaviour in human violent conflicts

    S. Picoli;M. del Castillo-Mussot;H. V. Ribeiro;E. K. Lenzi

  • Blackbody radiation in nonextensive Tsallis statistics: Exact solution

    E.K. Lenzi;R.S. Mendes

  • q-exponential distribution in urban agglomeration.

    L. C. Malacarne;R. S. Mendes;E. K. Lenzi

Frequent Co-Authors

Luciano Zunino
Luciano Zunino National University of La Plata
Quan Li
Quan Li Chinese University of Hong Kong
Xiao-Jun Yang
Xiao-Jun Yang China University of Mining and Technology
Hari M. Srivastava
Hari M. Srivastava University of Victoria
Carlo Cattani
Carlo Cattani Tuscia University
Ljupco Kocarev
Ljupco Kocarev Macedonian Academy of Sciences and Arts
Raouf El-Mallawany
Raouf El-Mallawany Menoufia University
Constantino Tsallis
Constantino Tsallis Centro Brasileiro de Pesquisas Físicas
João P. Araújo
João P. Araújo University of Porto
Antal Jakli
Antal Jakli Kent State University

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