World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
34
Citations
21569
World Ranking
2838
National Ranking
64

Michael F. Barnsley 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 Michael F. Barnsley 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: 197 publications — 61st percentile

61% of scientists in this discipline score the same or lower.

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

Michael F. Barnsley 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 Michael F. Barnsley 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: 34 D-Index — 21st percentile

21% of scientists in this discipline score the same or lower.

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

Overview

Michael F. Barnsley is affiliated with the Australian National University in Australia. Their research spans multiple fields including Mathematics, Computer Science, and Physics and Astronomy. Within these areas, Barnsley has contributed to subfields such as Mathematical Physics, Computational Theory and Mathematics, Materials Chemistry, Statistical and Nonlinear Physics, and Condensed Matter Physics.

The main topics of Barnsley's research cover Mathematical Dynamics and Fractals, Cellular Automata and Applications, Quasicrystal Structures and Properties, Advanced Mathematical Theories and Applications, Theoretical and Computational Physics, semigroups and automata theory, and Advanced Topology and Set Theory.

Barnsley has published a number of papers, notable among them are:

  • Histopolating fractal functions (2023), Journal of Computational and Applied Mathematics
  • Tilings from graph directed iterated function systems (2020), Geometriae Dedicata
  • Tiling Iterated Function Systems (2020), arXiv (Cornell University)

Other recent papers listed include works by Louisa F. Barnsley, a frequent coauthor:

  • Tiling iterated function systems (2024), Chaos Solitons & Fractals
  • Distortion Reversal in Aperiodic Tilings (2023), Discrete & Computational Geometry

Frequent coauthors of Michael F. Barnsley include Louisa F. Barnsley, Andrew Vince, Barry Simon, Christoph Bandt, and P. Viswanathan.

Barnsley has published in several venues, with multiple papers appearing in arXiv (Cornell University), as well as journals such as Journal of Computational and Applied Mathematics, Chaos Solitons & Fractals, Geometriae Dedicata, and Discrete & Computational Geometry.

In addition to journal and conference papers, Barnsley has contributed to book publications. One of their contributions includes a book published by Sciendo titled "Proceedings of the conference Contemporary Mathematics in Kielce 2020, February 24-27 2021."

Best Publications

  • Fractals Everywhere

    Michael F. Barnsley

  • The science of fractal images

    Michael F. Barnsley;Robert L. Devaney;Benoit B. Mandelbrot;Heinz-Otto Peitgen

  • Iterated function systems and the global construction of fractals

    M. F. Barnsley;S. Demko

  • Fractal Functions and Interpolation

    Michael F. Barnsley

  • Fractal image compression

    Michael F. Barnsley;Lyman P. Hurd

  • Solution of an inverse problem for fractals and other sets.

    M. F. Barnsley;V. Ervin;D. Hardin;J. Lancaster

  • Recurrent iterated function systems

    Michael F. Barnsley;John H. Elton;Douglas P. Hardin

  • The calculus of fractal interpolation functions

    M. F. Barnsley;A. N. Harrington

  • Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities

    M. F. Barnsley;S. G. Demko;J. H. Elton;J. S. Geronimo

  • Methods and apparatus for image compression by iterated function system

    Michael F. Barnsley;Alan D. Sloan

  • Hidden variable fractal interpolation functions

    M. F. Barnsley;J. Elton;D. Hardin;P. Massopust

  • Application Of Recurrent Iterated Function Systems To Images

    Michael F. Barnsley;Arnaud E. Jacquin

  • Harnessing chaos for image synthesis

    Michael F. Barnsley;Arnaud Jacquin;Francois Malassenet;Laurie Reuter

  • A new class of markov processes for image encoding

    Michael F. Barnsley;John H. Elton

  • Chaotic dynamics and fractals

    M. F. Barnsley;Stephen G. Demko

  • Fractal modelling of real world images

    Michael F. Barnsley

  • V -variable fractals: Fractals with partial self similarity ✩

    Michael F. Barnsley;John E. Hutchinson;Örjan Stenflo

  • The Chaos Game on a General Iterated Function System

    Michael F. Barnsley;Andrew Vince

  • Bilinear fractal interpolation and box dimension

    Michael F. Barnsley;Peter R. Massopust

  • A FRACTAL VALUED RANDOM ITERATION ALGORITHM AND FRACTAL HIERARCHY

    Michael Barnsley;John E. Hutchinson;Örjan Stenflo

Frequent Co-Authors

Jeffrey S. Geronimo
Jeffrey S. Geronimo Georgia Institute of Technology
Douglas P. Hardin
Douglas P. Hardin Vanderbilt University
Robert L. Devaney
Robert L. Devaney Boston University
Dietmar Saupe
Dietmar Saupe University of Konstanz
David Mumford
David Mumford Brown University
Heinz-Otto Peitgen
Heinz-Otto Peitgen University of Bremen
Benoit B. Mandelbrot
Benoit B. Mandelbrot Yale University
H. Mete Soner
H. Mete Soner Princeton University
George A. Baker
George A. Baker Los Alamos National Laboratory

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