World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
41
Citations
26137
World Ranking
1837
National Ranking
127

Kenneth Falconer 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 Kenneth Falconer 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: 200 publications — 62nd percentile

62% of scientists in this discipline score the same or lower.

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

Kenneth Falconer 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 Kenneth Falconer 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: 41 D-Index — 49th percentile

49% of scientists in this discipline score the same or lower.

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

Research.com Recognitions

  • 1998 - Fellow of the Royal Society of Edinburgh

Overview

Kenneth Falconer is affiliated with the University of St Andrews in the United Kingdom. Their research primarily spans the fields of Mathematics and Computer Science, with significant contributions in various subfields including Mathematical Physics, Geometry and Topology, Computational Theory and Mathematics, Computer Vision and Pattern Recognition, and Discrete Mathematics and Combinatorics.

The scientist's work covers a broad range of topics, such as:

  • Mathematical Dynamics and Fractals
  • Advanced Topology and Set Theory
  • Limits and Structures in Graph Theory
  • Topological and Geometric Data Analysis
  • Digital Image Processing Techniques
  • Stochastic processes and statistical mechanics
  • Theoretical and Computational Physics

Kenneth Falconer has published in multiple research venues, frequently contributing to:

  • arXiv (Cornell University)
  • Journal of Fractal Geometry Mathematics of Fractals and Related Topics
  • Proceedings of the American Mathematical Society
  • Monatshefte für Mathematik
  • St Andrews Research Repository (St Andrews Research Repository)

Recent publications include:

  • "The fractal structure of elliptical polynomial spirals," 2022, Monatshefte für Mathematik
  • "Minkowski dimension for measures," 2022, Proceedings of the American Mathematical Society
  • "Intersections of thick compact sets in ℝd," 2022, St Andrews Research Repository (St Andrews Research Repository)
  • "Intermediate dimension of images of sequences under fractional Brownian motion," 2021, arXiv (Cornell University)
  • "-spectra of measures on planar non-conformal attractors," 2020, Ergodic Theory and Dynamical Systems

Collaborations form an integral part of their work, with frequent co-authors including:

  • Jonathan M. Fraser
  • Alexia Yavicoli
  • Antti Käenmäki
  • Stuart A. Burrell
  • Lawrence D. Lee

Kenneth Falconer was awarded the title of Fellow of the Royal Society of Edinburgh in 1998.

Best Publications

  • Fractal Geometry: Mathematical Foundations and Applications

    Kenneth J. Falconer

  • The geometry of fractal sets

    K. J. Falconer

  • Techniques in fractal geometry

    K. J. Falconer

  • Unsolved problems in geometry

    Hallard T. Croft;Kenneth J. Falconer;Richard K. Guy

  • The Hausdorff dimension of self-affine fractals

    K. J. Falconer

  • ANALYSIS ON FRACTALS (Cambridge Tracts in Mathematics 143) By JUN KIGAMI: 226 pp., £35.00, ISBN 0-521-79321-1 (Cambridge University Press, 2001). LECTURES ON ANALYSIS ON METRIC SPACES (Universitext) By JUHA HEINONEN: 140 pp., £27.00, ISBN 0-387-95104-0 (Springer, New York, 2001).

    Kenneth J. Falconer

  • On the Hausdorff dimensions of distance sets

    K. J. Falconer

  • The multifractal spectrum of statistically self-similar measures

    K. J. Falconer;K. J. Falconer

  • Dimensions and measures of quasi self-similar sets

    K. J. Falconer

  • On the lipschitz equivalence of Cantor sets

    K. J. Falconer;D. T. Marsh

  • The dimension of self-affine fractals II

    K. J. Falconer

  • On the Minkowski measurability of fractals

    K. J. Falconer

  • The Local Structure of Random Processes

    Kenneth J. Falconer

  • Packing dimensions of projections and dimension profiles

    K. J. Falconer;J. D. Howroyd

  • A subadditive thermodynamic formalism for mixing repellers

    K J Falconer

  • Bounded distortion and dimension for non-conformal repellers

    K. J. Falconer

  • Tangent Fields and the Local Structure of Random Fields

    Kenneth J. Falconer

  • Fractals: A Very Short Introduction

    Kenneth Falconer

  • Sets with Large Intersection Properties

    K. J. Falconer

  • Hausdorff dimension and the exceptional set of projections

    K. J. Falconer

  • GEOMETRY OF SETS AND MEASURES IN EUCLIDEAN SPACES FRACTALS AND RECTIFIABILITY

    K. Falconer

Frequent Co-Authors

Pertti Mattila
Pertti Mattila University of Helsinki
Geoffrey Grimmett
Geoffrey Grimmett University of Cambridge
Yimin Xiao
Yimin Xiao Michigan State University

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