World's Best Scientists 2026 revealed!
Nikolai N. Leonenko

Nikolai N. Leonenko

D-Index & Metrics

Mathematics

D-Index
31
Citations
4736
World Ranking
3316
National Ranking
217

Nikolai N. Leonenko 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 Nikolai N. Leonenko 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: 298 publications — 86th percentile

86% of scientists in this discipline score the same or lower.

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

Nikolai N. Leonenko 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 Nikolai N. Leonenko 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: 31 D-Index — 9th percentile

9% of scientists in this discipline score the same or lower.

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

Overview

Nikolai N. Leonenko is affiliated with Cardiff University in the United Kingdom. Their research primarily focuses on mathematics, with a substantial body of work spanning 64 publications in the field. Within this broad discipline, they have concentrated on several subfields, including finance, modeling and simulation, mathematical physics, statistics and probability, and applied mathematics.

The scientist's research topics cover a range of advanced mathematical and statistical areas. Key topics of their work include fractional differential equations solutions, stochastic processes and financial applications, financial risk and volatility modeling, stochastic processes and statistical mechanics, nonlinear differential equations analysis, advanced mathematical modeling in engineering, and statistical distribution estimation and applications.

Leonenko has contributed to numerous research articles published across a variety of venues. Some of the frequent publication venues for their work are:

  • arXiv (Cornell University)
  • Fractional Calculus and Applied Analysis
  • Communications in Nonlinear Science and Numerical Simulation
  • Stochastic Analysis and Applications
  • Journal of Statistical Physics

The scientist has collaborated extensively with other researchers. Frequent coauthors include:

  • Andriy Olenko
  • Enrica Pirozzi
  • Mehmet Sıddık Çadirci
  • Andrey Pepelyshev
  • Vitalii Makogin

Recent notable papers authored or coauthored by Nikolai N. Leonenko include:

  • Monte Carlo method for fractional-order differentiation extended to higher orders, 2022, published in Fractional Calculus and Applied Analysis
  • Spherically Restricted Random Hyperbolic Diffusion, 2020, published in Entropy
  • Option pricing in illiquid markets: A fractional jump-diffusion approach, 2020, published in Journal of Computational and Applied Mathematics
  • Entropy-based test for generalised Gaussian distributions, 2022, published in Computational Statistics & Data Analysis
  • Tempered fractional Poisson processes and fractional equations with Z-transform, 2020, published in Stochastic Analysis and Applications

Best Publications

  • Statistical Analysis of Random Fields

    A. V. Ivanov;N. N. Leonenko

  • A class of Rényi information estimators for multidimensional densities

    Nikolai N. Leonenko;Luc Pronzato;Vippal Savani

  • Spectral Analysis of Fractional Kinetic Equations with Random Data

    Vo V. Anh;Nikolai N. Leonenko

  • A new class of random vector entropy estimators and its applications in testing statistical hypotheses

    M. N. Goria;N. N. Leonenko;V. V. Mergel;P. L. Novi Inverardi

  • Limit Theorems for Random Fields with Singular Spectrum

    Nikolai Leonenko

  • A class of R'{e}nyi information estimators for multidimensional densities

    Nikolai Leonenko;Luc Pronzato;Vippal Savani

  • Fractional Pearson diffusions

    Nikolai N. Leonenko;Mark M. Meerschaert;Alla Sikorskii

  • Fractional random fields associated with stochastic fractional heat equations

    M. Ya. Kelbert;Nikolai N. Leonenko;M. D. Ruiz-Medina

  • Dynamic models of long-memory processes driven by Lévy noise

    Vo Anh;Chris Heyde;Nikolai Leonenko

  • Spectral Properties of Uperpositions of Ornstein-Uhlenbeck Type Processes

    O. E. Barndorff-Nielsen;N. N. Leonenko

  • Correlation Structure of Time-Changed Lévy Processes

    Nikolai N Leonenko;Mark M Meerschaert;René L Schilling;Alla Sikorskii

  • Tauberian and Abelian theorems for long-range dependent random fields

    Nikolai N. Leonenko;Andriy Olenko

  • Spectral Properties of Superpositions of Ornstein-Uhlenbeck Type Processes

    O. E. Barndorff-Nielsen;N. N. Leonenko

  • Correlation structure of fractional Pearson diffusions

    Nikolai N. Leonenko;Mark M. Meerschaert;Alla Sikorskii

  • Scaling laws for fractional diffusion-wave equations with singular data

    V.V. Anh;N.N. Leonenko

  • Non-Gaussian scenarios for the heat equation with singular initial conditions

    V.V. Anh;N.N. Leonenko

  • Renormalization and Homogenization of Fractional Diffusion Equations with Random Data

    Vo V. Anh;Nikolai N. Leonenko

  • The fractional non-homogeneous Poisson process

    Nikolai Leonenko;Enrico Scalas;Mailan Trinh

  • On the Whittle estimators for some classes of continuous-parameter random processes and fields

    Nikolai N. Leonenko;L. M. Sakhno

  • Fractional Skellam processes with applications to finance

    Alexander Kerss;Nikolai N. Leonenko;Alla Sikorskii

  • On a class of minimum contrast estimators for fractional stochastic processes and fields

    V. V. Anh;Nikolai N. Leonenko;L. M. Sakhno

  • Fractional Differential Equations

    Fawang Liu;Mark M. Meerschaert;Shaher Momani;Nikolai N. Leonenko

  • Statistical Analysis of Random Fields.

    R. J. Martin;A. V. Ivanov;N. N. Leonenko

Frequent Co-Authors

Vo Anh
Vo Anh Queensland University of Technology
Murad S. Taqqu
Murad S. Taqqu Boston University
Mark M. Meerschaert
Mark M. Meerschaert Michigan State University
D. Denisov
D. Denisov Fermilab
Shaher Momani
Shaher Momani University of Jordan
Om P. Agrawal
Om P. Agrawal Southern Illinois University Carbondale
Holger Dette
Holger Dette Ruhr University Bochum
Fawang Liu
Fawang Liu Queensland University of Technology

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