World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
39
Citations
5319
World Ranking
2237
National Ranking
139

Daniel Lenz 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 Daniel Lenz 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: 169 publications — 48th percentile

48% of scientists in this discipline score the same or lower.

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

Daniel Lenz 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 Daniel Lenz 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: 39 D-Index — 41st percentile

41% of scientists in this discipline score the same or lower.

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

Overview

Daniel Lenz is affiliated with Friedrich Schiller University Jena in Germany and specializes in mathematics with a focus on several subfields including mathematical physics, applied mathematics, geometry and topology, computational theory and mathematics, and materials chemistry. Their research spans a wide range of mathematical topics, particularly in the areas of mathematical dynamics and fractals, spectral theory in mathematical physics, advanced mathematical theories, mathematical analysis and transform methods, geometric analysis and curvature flows, quasicrystal structures and properties, and nonlinear partial differential equations.

Among recent published works by Daniel Lenz are:

  • Pure Point Diffraction and Mean, Besicovitch and Weyl Almost Periodicity, 2020, arXiv (Cornell University)
  • Pure point spectrum for dynamical systems and mean, Besicovitch and Weyl almost periodicity, 2023, Ergodic Theory and Dynamical Systems
  • Uniqueness of form extensions and domination of semigroups, 2020, Journal of Functional Analysis
  • Pure point spectrum for dynamical systems and mean almost periodicity, 2020, arXiv (Cornell University)

Other notable papers featuring collaboration or thematic relevance include a 2022 publication titled The structure of mean equicontinuous group actions in the Israel Journal of Mathematics, authored by Gabriel Fuhrmann with an association to the research context of Lenz.

Frequent co-authors collaborating with Daniel Lenz include:

  • Matthias Keller
  • Radosław K. Wojciechowski
  • Nicolae Strungaru
  • Timo Spindeler
  • Marcel O. Schmidt

The scientist has regularly published in several venues, with multiple papers appearing in:

  • arXiv (Cornell University)
  • Israel Journal of Mathematics
  • Ergodic Theory and Dynamical Systems
  • Journal de Mathématiques Pures et Appliquées
  • Journal of Functional Analysis

In addition to articles, Daniel Lenz has contributed to scholarly books, notably publishing with Springer Nature a work titled Graphs and Discrete Dirichlet Spaces in 2021.

Best Publications

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

    Michael Baake;Daniel Lenz

  • Dirichlet forms and stochastic completeness of graphs and subgraphs

    Matthias Keller;Daniel Lenz

  • Characterization of model sets by dynamical systems

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

  • Unbounded Laplacians on Graphs: Basic Spectral Properties and the Heat Equation

    M. Keller;D. Lenz

  • Uniform Spectral Properties of One-Dimensional Quasicrystals, III. α-Continuity

    David Damanik;Rowan Killip;Daniel Lenz

  • 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

  • Intrinsic metrics for non-local symmetric Dirichlet forms and applications to spectral theory

    Rupert L. Frank;Daniel Lenz;Daniel Wingert

  • Laplacians on infinite graphs: Dirichlet and Neumann boundary conditions

    Sebastian Haeseler;Matthias Keller;H. Daniel Lenz;Radosław K. Wojciechowski

  • Pseudogroups and their étale groupoids

    Mark V. Lawson;Daniel H. Lenz

  • Uniform spectral properties of one-dimensional quasicrystals, III. $lpha$-continuity

    David Damanik;Rowan Killip;Daniel Lenz

  • Uniform Spectral Properties of One-Dimensional Quasicrystals, I. Absence of Eigenvalues

    David Damanik;Daniel Lenz

  • Continuity of Eigenfunctions of Uniquely Ergodic Dynamical Systems and Intensity of Bragg Peaks

    Daniel Lenz

  • Singular spectrum of Lebesgue measure zero for one-dimensional quasicrystals

    Daniel Lenz

  • Pure Point spectrum for measure dynamical systems on locally compact Abelian groups

    Daniel H. Lenz;Nicolae Strungaru

  • An ergodic theorem for Delone dynamical systems and existence of the integrated density of states

    Daniel Lenz;Peter Stollmann

  • The Index of Sturmian Sequences

    David Damanik;Daniel Lenz

  • PURE POINT DIFFRACTION IMPLIES ZERO ENTROPY FOR DELONE SETS WITH UNIFORM CLUSTER FREQUENCIES

    Michael Baake;Daniel Lenz;Christoph Richard

  • VOLUME GROWTH, SPECTRUM AND STOCHASTIC COMPLETENESS OF INFINITE GRAPHS

    Matthias Keller;Daniel Lenz;Rados Law K. Wojciechowski

  • Delone dynamical systems and associated random operators

    D Lenz;P Stollmann

  • A condition of Boshernitzan and uniform convergence in the multiplicative ergodic theorem

    David Damanik;Daniel Lenz

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

    Michael Baake;Daniel Lenz

Frequent Co-Authors

David Damanik
David Damanik Rice University
Michael Baake
Michael Baake Bielefeld University
Rostislav Grigorchuk
Rostislav Grigorchuk Texas A&M University
Robert V. Moody
Robert V. Moody University of Victoria
Anne Boutet de Monvel
Anne Boutet de Monvel Université Paris Cité
Rupert L. Frank
Rupert L. Frank California Institute of Technology
Rowan Killip
Rowan Killip University of California, Los Angeles
Thomas Schick
Thomas Schick University of Göttingen

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