World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
39
Citations
5583
World Ranking
2228
National Ranking
17

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

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
Raouf El-Mallawany
Raouf El-Mallawany Menoufia University
Carlo Cattani
Carlo Cattani Tuscia University
Ljupco Kocarev
Ljupco Kocarev Macedonian Academy of Sciences and Arts
Bernardino Chiaia
Bernardino Chiaia Polytechnic University of Turin
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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