World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
44
Citations
5691
World Ranking
1625
National Ranking
695

David Damanik 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 David Damanik 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: 228 publications — 72nd percentile

72% of scientists in this discipline score the same or lower.

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

David Damanik 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 David Damanik 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: 44 D-Index — 58th percentile

58% 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

Overview

David Damanik is affiliated with Rice University in the United States and has contributed extensively to the fields of Mathematics and Physics and Astronomy. Their research primarily spans mathematical physics, statistical and nonlinear physics, and computational theory and mathematics, with additional work in applied mathematics and materials chemistry.

Their research focuses on key topics including spectral theory in mathematical physics, quantum chaos and dynamical systems, numerical methods in inverse problems, advanced mathematical modeling in engineering, mathematical analysis and transform methods, advanced mathematical theories, and mathematical dynamics and fractals.

Notable recent publications include:

  • Zero Measure and Singular Continuous Spectra for Quantum Graphs, 2020, Annales Henri Poincaré
  • Spectral characteristics of Schrödinger operators generated by product systems, 2023, Journal of Spectral Theory

Other recent papers featuring collaborations with co-authors are:

  • Schrödinger operators with potentials generated by hyperbolic transformations: I-positivity of the Lyapunov exponent, 2022, Inventiones mathematicae
  • Generic spectral results for CMV matrices with dynamically defined Verblunsky coefficients, 2020, Journal of Functional Analysis
  • The Spectrum of Schrödinger Operators with Randomly Perturbed Ergodic Potentials, 2023, Geometric and Functional Analysis

Frequent co-authors include Jake Fillman, Anton Gorodetski, Artur Avila, Shuzheng Guo, and Zhenghe Zhang.

Damanik has published predominantly in venues such as arXiv (Cornell University), Journal of Spectral Theory, Journal of Functional Analysis, Communications in Mathematical Physics, and Annales Henri Poincaré.

Two editions of a book titled One-Dimensional Ergodic Schrödinger Operators were published by the American Mathematical Society, one in 2022 and another in 2025, both attributed to Damanik.

Among the recognitions received, Damanik was named a Fellow of the American Mathematical Society in 2013.

Best Publications

  • The Analytic Theory of Matrix Orthogonal Polynomials

    David Damanik;Alexander Pushnitski;Barry Simon

  • Gordon-type arguments in the spectral theory of one-dimensional quasicrystals

    D. Damanik

  • Palindrome complexity

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

  • Schrödinger Operators with Dynamically Defined Potentials: A Survey

    David Damanik

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

    David Damanik;Rowan Killip;Daniel Lenz

  • Perturbations of orthogonal polynomials with periodic recursion coefficients

    David Damanik;Rowan Killip;Barry Simon

  • Multi-scale analysis implies strong dynamical localization

    D. Damanik;P. Stollmann

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

    David Damanik;Rowan Killip;Daniel Lenz

  • Spectral properties of Schrödinger operators arising in the study of quasicrystals

    David Damanik;Mark Embree;Anton Gorodetski

  • Schrödinger operators with dynamically defined potentials

    David Damanik

  • LOCALIZATION FOR ONE DIMENSIONAL, CONTINUUM, BERNOULLI-ANDERSON MODELS

    David Damanik;Robert Sims;Günter Stolz

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

    David Damanik;Daniel Lenz

  • Spectral and Quantum Dynamical Properties of the Weakly Coupled Fibonacci Hamiltonian

    David Damanik;Anton Gorodetski

  • The Fractal Dimension of the Spectrum of the Fibonacci Hamiltonian

    David Damanik;Mark Embree;Anton Gorodetski;Serguei Tcheremchantsev

  • Absolute continuity of the integrated density of states for the almost Mathieu operator with non-critical coupling

    Artur Avila;David Damanik

  • Singular Continuous Spectrum for a Class of Substitution Hamiltonians II

    David Damanik

  • The Fibonacci Hamiltonian

    David Damanik;Anton Gorodetski;William Yessen

  • Lyapunov Exponents and Spectral Analysis of Ergodic Schrödinger Operators: A Survey of Kotani Theory and Its Applications

    David Damanik

  • Upper bounds in quantum dynamics

    David Damanik;David Damanik;Serguei Tcheremchantsev

  • Power-Law Bounds on Transfer Matrices and Quantum Dynamics in One Dimension

    David Damanik;Serguei Tcheremchantsev

  • What is Aperiodic Order

    Michael Baake;David Damanik;Uwe Grimm

Frequent Co-Authors

Daniel Lenz
Daniel Lenz Friedrich Schiller University Jena
Barry Simon
Barry Simon California Institute of Technology
Rowan Killip
Rowan Killip University of California, Los Angeles
Artur Avila
Artur Avila University of Zurich
Michael Baake
Michael Baake Bielefeld University
Boris Solomyak
Boris Solomyak Bar-Ilan University
Yang Wang
Yang Wang Hong Kong University of Science and Technology
Wilhelm Schlag
Wilhelm Schlag Yale University
Fritz Gesztesy
Fritz Gesztesy Baylor University
Assaf Naor
Assaf Naor Princeton University

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