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D-Index & Metrics

Mathematics

D-Index
54
Citations
8981
World Ranking
852
National Ranking
42

Michael Baake 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 Baake 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: 82 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: 347 publications — 90th percentile

90% of scientists in this discipline score the same or lower.

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

Michael Baake 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 Baake 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: 137 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: 54 D-Index — 78th percentile

78% of scientists in this discipline score the same or lower.

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

Overview

Michael Baake is affiliated with Bielefeld University in Germany and specializes in research primarily within the fields of mathematics and computer science. Their scholarly work encompasses several subfields, including computational theory and mathematics, mathematical physics, materials chemistry, algebra and number theory, and geometry and topology.

The scientist's research topics focus significantly on quasicrystal structures and properties, as well as mathematical dynamics and fractals. Other important areas include cellular automata and their applications, semigroups and automata theory, random matrices, analytic number theory research, and stochastic processes coupled with statistical mechanics.

Michael Baake has contributed extensively to academic literature, publishing papers in various venues. Frequent publication platforms include:

  • arXiv (Cornell University)
  • Indagationes Mathematicae
  • Documenta Mathematica
  • Ergodic Theory and Dynamical Systems
  • Israel Journal of Mathematics

Some notable recent papers from their work are:

  • "Fourier Transform of Rauzy Fractals and Point Spectrum of 1D Pisot Inflation Tilings," 2020, Documenta Mathematica
  • "Notes on Markov embedding," 2020, Linear Algebra and its Applications
  • "Number-theoretic positive entropy shifts with small centralizer and large normalizer," 2020, Ergodic Theory and Dynamical Systems
  • "Three variations on a theme by Fibonacci," 2020, Stochastics and Dynamics
  • "Dynamics and topology of the Hat family of tilings," 2023, arXiv (Cornell University)

Collaborations play a role in their research activity, with frequent co-authors including:

  • Franz Gähler
  • Jan Mazáč
  • Jeremy G. Sumner
  • Uwe Grimm
  • Álvaro Parra

Best Publications

  • Dynamical systems on translation bounded measures: Pure point dynamical and diffraction spectra

    Michael Baake;Daniel Lenz

  • Fitting ordinary differential equations to chaotic data.

    Ellen Baake;Michael Baake;H. G. Bock;K. M. Briggs

  • Generalized model sets and dynamical systems

    Michael Baake;Robert Moody

  • Directions in Mathematical Quasicrystals

    Michael Baake;Robert Moody

  • Ising quantum chain is equivalent to a model of biological evolution

    Ellen Baake;Michael Baake;Holger Wagner

  • Weighted Dirac combs with pure point diffraction

    Michael Baake;Robert V. Moody

  • PLANAR PATTERNS WITH FIVEFOLD SYMMETRY AS SECTIONS OF PERIODIC STRUCTURES IN 4-SPACE

    M. Baake;P. Kramer;M. Schlottmann;D. Zeidler

  • Characterization of model sets by dynamical systems

    Michael Baake;Daniel H. Lenz;Robert V. Moody

  • Mathematical quasicrystals and the problem of diffraction

    Michael Baake;Robert Moody

  • Aperiodic Order. Vol 1. A Mathematical Invitation

    Michael Baake;Uwe Grimm

  • A Guide to Mathematical Quasicrystals

    Michael Baake

  • Palindrome complexity

    Jean-Paul Allouche;Michael Baake;Julien Cassaigne;David Damanik

  • Characterizations of model sets by dynamical systems

    Michael Baake;Daniel Lenz;Robert V. Moody

  • The Third Law of Thermodynamics and the Degeneracy of the Ground State for Lattice Systems

    Michael Aizenman;Elliott H. Lieb

  • Diffraction from visible lattice points and k th power free integers

    Michael Baake;Robert V. Moody;Peter A. B. Pleasants

  • LIMIT-(QUASI)PERIODIC POINT SETS AS QUASICRYSTALS WITH P-ADIC INTERNAL SPACES

    Michael Baake;Robert V Moody;Martin Schlottmann

  • Fierz identities for real Clifford algebras and the number of supercharges

    Unknown

  • The torus parametrization of quasiperiodic LI-classes

    Michael Baake;Joachim Hermisson;Peter A B Pleasants

  • TRACE MAPS, INVARIANTS, AND SOME OF THEIR APPLICATIONS

    Michael Baake;Uwe Grimm;Dieter Joseph

  • Digit tiling of euclidean space

    Michael Baake;Robert Moody

  • Dynamical systems on translation bounded measures: Pure point dynamical and diffraction spectra

    Michael Baake;Daniel Lenz

  • What is Aperiodic Order

    Michael Baake;David Damanik;Uwe Grimm

Frequent Co-Authors

Robert V. Moody
Robert V. Moody University of Victoria
Daniel Lenz
Daniel Lenz Friedrich Schiller University Jena
David Damanik
David Damanik Rice University
Friedrich Götze
Friedrich Götze Bielefeld University
Anton Bovier
Anton Bovier University of Bonn
Gernot Akemann
Gernot Akemann Bielefeld University
Hans Bock
Hans Bock Goethe University Frankfurt
Leonid Pastur
Leonid Pastur B Verkin Institute for Low Temperature Physics and Engineering
Robert Giegerich
Robert Giegerich Bielefeld University
Regine von Klitzing
Regine von Klitzing Technical University of Darmstadt

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