World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
33
Citations
4600
World Ranking
3048
National Ranking
1226

Jacques H. H. Perk 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 Jacques H. H. Perk 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: 109 publications — 15th percentile

15% of scientists in this discipline score the same or lower.

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

Jacques H. H. Perk 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 Jacques H. H. Perk 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: 33 D-Index — 17th percentile

17% of scientists in this discipline score the same or lower.

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

Overview

Jacques H. H. Perk is affiliated with Oklahoma State University in the United States. Their research spans multiple areas within physics and astronomy, with a focus on complex network analysis techniques and theoretical and computational physics. They have also contributed to topics in mental health research, opinion dynamics and social influence, and molecular spectroscopy and chirality.

The scientist has published several recent papers, including:

  • Comment on "Exact Solution for Three-Dimensional Ising Model" by Degang Zhang followed by Response to the Reply by Degang Zhang, 2021, published in arXiv (Cornell University)
  • Comment on Zhang, D. Exact Solution for Three-Dimensional Ising Model. Symmetry 2021, 13, 1837, 2023, published in Symmetry
  • Personal History with MEF and Some Related Topics, 2023, published in arXiv (Cornell University)

In terms of publication venues, their work primarily appears in:

  • arXiv (Cornell University)
  • Symmetry

Their frequent co-authors include Helen Au-Yang, with whom they have collaborated on multiple occasions.

Jacques H. H. Perk's research covers various subfields of study such as:

  • Statistical and Nonlinear Physics
  • Experimental and Cognitive Psychology
  • Condensed Matter Physics
  • Spectroscopy

Best Publications

  • New solutions of the star-triangle relations for the chiral potts model

    R.J. Baxter;J.H.H. Perk;H. Au-Yang

  • Commuting transfer matrices in the chiral Potts models: Solutions of star-triangle equations with genus>1

    Helen Au-Yang;Barry M. McCoy;Jacques H.H. Perk;Shuang Tang

  • New families of commuting transfer matrices in q state vertex models

    Jacques H.H. Perk;Cherie L. Schultz

  • FUNCTIONAL RELATIONS FOR TRANSFER MATRICES OF THE CHIRAL POTTS MODEL

    R.J. Baxter;V.V. Bazhanov;J.H.H. Perk

  • Autocorrelation function of the x-component of the magnetization in the one-dimensional XY-model

    H.W. Capel;J.H.H. Perk

  • Two-Spin Correlation Functions of an Ising Model with Continuous Exponents

    Barry M. McCoy;Jacques H. H. Perk

  • Commuting transfer matrices for the four-state self-dual chiral Potts model with a genus-three uniformizing fermat curve

    Barry M. McCoy;Jacques H.H. Perk;Shuang Tang;Chih-Han Sah

  • Time-dependent correlation functions of the transverse Ising chain at the critical magnetic field

    Barry M. McCoy;Jacques H.H. Perk;Robert E. Shrock

  • Excitation spectrum and order parameter for the integrable N-state chiral potts model

    Giuseppe Albertini;Barry M. McCoy;Jacques H.H. Perk;Shuang Tang

  • The Susceptibility of the Square Lattice Ising Model: New Developments

    W. P. Orrick;B. Nickel;A. J. Guttmann;J. H. H. Perk

  • Critical correlations in a Z-invariant inhomogeneous ising model

    Helen Au-Yang;Jacques H.H. Perk

  • Time-dependent xx-correlation functions in the one-dimensional XY-model

    J.H.H. Perk;H.W. Capel

  • Yang–Baxter Equations

    Jacques H. H. Perk;Helen Au-Yang

  • On a soluble model of an antiferromagnetic chain with alternating interactions and magnetic moments

    J.H.H. Perk;H.W. Capel;M.J. Zuilhof;Th.J. Siskens

  • Quadratic identities for Ising model correlations

    J.H.H. Perk

  • Eigenvalue Spectrum of the Superintegrable Chiral Potts Model

    Giuseppe Albertini;Barry M. McCoy;Jacques H. H. Perk

  • Commensurate-incommensurate transition in the ground state of the superintegrable chiral Potts model

    Giuseppe Albertini;Barry M. McCoy;Jacques H.H. Perk

  • Onsager’s Star-Triangle Equation: Master Key to Integrability

    Helen Au-Yang;Jacques H.H. Perk

  • Correlation functions of the transverse Ising chain at the critical field for large temporal and spatial separations

    Barry M. McCoy;Jacques H.H. Perk;Robert E. Shrock

  • Finite-temperature correlations for the Ising chain in a transverse field

    J.H.H. Perk;H.W. Capel;G.R.W. Quispel;F.W. Nijhoff

  • New Results for the Correlation Functions of the Ising Model and the Transverse Ising Chain

    Jacques H. H. Perk;Helen Au-Yang;Helen Au-Yang

  • Ising Field Theory: Quadratic Difference Equations for the n -Point Green's Functions on the Lattice

    Barry M. McCoy;Jacques H. H. Perk;Tai Tsun Wu

Frequent Co-Authors

Anthony J. Guttmann
Anthony J. Guttmann University of Melbourne
Robert Shrock
Robert Shrock Stony Brook University
G. R. W. Quispel
G. R. W. Quispel La Trobe University
Frank W. Nijhoff
Frank W. Nijhoff University of Leeds
Peter J. Forrester
Peter J. Forrester University of Melbourne
F. Y. Wu
F. Y. Wu Northeastern University
Michael E. Fisher
Michael E. Fisher University of Maryland, College Park
Girish S. Agarwal
Girish S. Agarwal Texas A&M University
Vladimir V. Bazhanov
Vladimir V. Bazhanov Australian National University

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