World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
32
Citations
4711
World Ranking
3176
National Ranking
1271

Michel L. Lapidus 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 Michel L. Lapidus 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: 191 publications — 58th percentile

58% of scientists in this discipline score the same or lower.

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

Michel L. Lapidus 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 Michel L. Lapidus 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: 32 D-Index — 14th percentile

14% 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

  • 2013 - Fellow of the American Mathematical Society
  • 2000 - Fellow of the American Association for the Advancement of Science (AAAS)

Overview

Michel L. Lapidus is affiliated with the University of California, Riverside in the United States. Their research spans multiple disciplines, primarily focusing on mathematics, physics and astronomy, and computer science. Their subfields include mathematical physics, statistical and nonlinear physics, computational theory and mathematics, condensed matter physics, and computer vision and pattern recognition.

Lapidus's scholarly contributions cover significant topics such as mathematical dynamics and fractals, advanced mathematical theories and applications, topological and geometric data analysis, theoretical and computational physics, advanced mathematical theories, chaos-based image and signal encryption, and stochastic processes and statistical mechanics.

Their recent papers include:

  • Weierstrass fractal drums: II towards a fractal cohomology (2024), published in Mathematische Zeitschrift
  • Minkowski Measurability Criteria for Compact Sets and Relative Fractal Drums in Euclidean Spaces (2020), published in Fractals and dynamics in mathematics, science and the arts
  • p-Adic Fractal Strings of Arbitrary Rational Dimensions and Cantor Strings (2021), published in P-Adic Numbers Ultrametric Analysis and Applications
  • Polyhedral neighborhoods vs. tubular neighborhoods: new insights for fractal zeta functions and complex dimensions (2025), published in The Ramanujan Journal
  • Understanding Fractality: A Polyhedral Approach to the Koch Curve and Its Complex Dimensions (2025), published in Asymptotic Analysis

Frequent coauthors collaborating with Lapidus include:

  • Claire David
  • Machiel van Frankenhuijsen
  • Edward K. Voskanian
  • Goran Radunović
  • Therese-Marie Landry

Lapidus's work appears often in publication venues such as arXiv (Cornell University), Asymptotic Analysis, Advances in Mathematics, Mathematische Zeitschrift, and P-Adic Numbers Ultrametric Analysis and Applications.

In addition to articles, Lapidus has authored books, with at least one published by the American Mathematical Society titled An Invitation to Fractal Geometry (2024).

The academic has been recognized with honors including being named a Fellow of the American Mathematical Society in 2013 and a Fellow of the American Association for the Advancement of Science (AAAS) in 2000.

Best Publications

  • The Feynman Integral and Feynman's Operational Calculus

    Gerald W. Johnson;Michel L. Lapidus

  • Weyl's problem for the spectral distribution of Laplacians on p.c.f. self-similar fractals

    Jun Kigami;Michel L. Lapidus

  • Fractal Geometry, Complex Dimensions and Zeta Functions: Geometry and Spectra of Fractal Strings

    Michel L. Lapidus;Machiel van Frankenhuijsen

  • Fractal drum, inverse spectral problems for elliptic operators and a partial resolution of the Weyl-Berry conjecture

    Michel L. Lapidus

  • The Riemann Zeta-Function and the One-Dimensional Weyl-Berry Conjecture for Fractal Drums

    Michel L. Lapidus;Carl Pomerance

  • Fractal Geometry and Number Theory: Complex Dimensions of Fractal Strings and Zeros of Zeta Functions

    Michel L. Lapidus;Machiel van Frankenhuysen

  • Fractal Geometry, Complex Dimensions and Zeta Functions

    Michel L. Lapidus;Machiel van Frankenhuijsen

  • The Riemann Hypothesis and Inverse Spectral Problems for Fractal Strings

    Michel L. Lapidus;Helmut Maier

  • Riemann zeros and phase transitions via the spectral operator on fractal strings

    Hafedh Herichi;Michel L Lapidus

  • Generalized Minkowski Content, Spectrum of Fractal Drums, Fractal Strings and the Riemann-Zeta-Function

    Christina Q. He;Michel L. Lapidus

  • Fractal Geometry and Number Theory

    Michel L. Lapidus;Machiel van Frankenhuysen

  • Fractal Geometry and Applications: A Jubilee of Benoît Mandelbrot

    Michel Lapidus;Machiel van Frankenhuijsen

  • Generalized Dyson series, generalized Feynman diagrams, the Feynman integral and Feynman’s operational calculus

    Gerald W. Johnson;Michel L. Lapidus

  • Counterexamples to the modified Weyl-Berry conjecture on fractal drums

    Michel L. Lapidus;Carl Pomerance

  • Dirac operators and spectral triples for some fractal sets built on curves

    Erik Christensen;Cristina Ivan;Michel L. Lapidus

  • Fractal Zeta Functions and Fractal Drums

    Michel L. Lapidus;Goran Radunović;Darko Žubrinić

  • In Search of the Riemann Zeros

    Michel L. Lapidus

  • Spectral and Fractal Geometry: From the Weyl-Berry Conjecture for the Vibrations of Fractal Drums to the Riemann Zeta-Function

    Michel L. Lapidus

  • Snowflake Harmonics and Computer Graphics: Numerical Computation of Spectra on Fractal Drums

    Michel L. Lapidus;J.W. Neuberger;Robert J. Renka;Cheryl A. Griffith

  • Fractal Drum, Inverse Spectral Problems for Elliptic Operators and a Partial Resolution of the Weyl-Berry Conjecture

    Unknown

  • Self-Similarity of Volume Measures for Laplacians on P. C. F. Self-Similar Fractals

    Jun Kigami;Michel L. Lapidus

  • Eigenvalues of Elliptic Boundary Value Problems with an Indefinite Weight Function

    Jacqueline Fleckinger;Michel L. Lapidus

  • Dynamical, Spectral, and Arithmetic Zeta Functions

    Michel L. Lapidus;Machiel van Frankenhuysen

  • Riemann Zeroes and Phase Transitions via the Spectral Operator on Fractal Strings

    Hafedh Herichi;Michel L. Lapidus

Frequent Co-Authors

Carl Pomerance
Carl Pomerance Dartmouth College
Benoit B. Mandelbrot
Benoit B. Mandelbrot Yale University
Ben Hambly
Ben Hambly University of Oxford

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