World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
50
Citations
14280
World Ranking
1058
National Ranking
492

Michael Shub 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 Shub 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: 170 publications — 49th percentile

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

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

Michael Shub 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 Shub 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: 50 D-Index — 71st percentile

71% 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

  • 2016 - Fellow of the American Mathematical Society For contributions to smooth dynamics and to complexity theory.
  • 2000 - Fellow of the American Association for the Advancement of Science (AAAS)
  • 1972 - Fellow of Alfred P. Sloan Foundation

Overview

Michael Shub is affiliated with the City College of New York in the United States. Their research mainly focuses on the field of Mathematics, with significant work in several subfields including Mathematical Physics, Statistical and Nonlinear Physics, Modeling and Simulation, Molecular Biology, and Geometry and Topology.

The main topics of study in Michael Shub's research encompass:

  • Mathematical Dynamics and Fractals
  • Mathematical Biology Tumor Growth
  • Gene Regulatory Network Analysis
  • Advanced Differential Equations and Dynamical Systems
  • Quantum chaos and dynamical systems
  • Random Matrices and Applications
  • Advanced Algebra and Geometry

Michael Shub has published multiple scientific papers, with notable recent contributions including:

  • "Cusp bifurcation in a metastatic regulatory network", 2023, Journal of Theoretical Biology
  • "Stable and non-symmetric pitchfork bifurcations", 2020, Science China Mathematics
  • "Cusp Bifurcation in Metastatic Breast Cancer Cells", 2022, arXiv (Cornell University)
  • "Random and mean Lyapunov exponents for GLₙ(ℝ)", 2022, arXiv (Cornell University)
  • "Random and mean Lyapunov exponents for", 2023, Ergodic Theory and Dynamical Systems

The frequent publication venues for Michael Shub's work include:

  • arXiv (Cornell University)
  • Journal of Theoretical Biology
  • Science China Mathematics
  • Ergodic Theory and Dynamical Systems

Michael Shub has collaborated extensively with several coauthors, such as:

  • Brenda Delamonica
  • Gábor Balázsi
  • Diego Armentano
  • Gautam Chinta
  • Siddhartha Sahi

Recognition for Michael Shub's contributions to mathematics includes election as:

  • Fellow of the American Mathematical Society (2016), for contributions to smooth dynamics and to complexity theory
  • Fellow of the American Association for the Advancement of Science (AAAS) (2000)
  • Fellow of Alfred P. Sloan Foundation (1972)

Best Publications

  • Complexity and Real Computation

    Lenore Blum;Felipe Cucker;Michael Shub;Steve Smale

  • A simple unpredictable pseudo random number generator

    L Blum;M Blum;M Shub

  • On a theory of computation and complexity over the real numbers: $NP$- completeness, recursive functions and universal machines

    Lenore Blum;Mike Shub;Steve Smale

  • Global Stability of Dynamical Systems

    Michael Shub

  • Endomorphisms of compact differentiable manifolds

    Michael Ira Shub

  • Complexity of Bezout's Theorem

    Michael Shub;Steve Smale

  • Complexity of Bézout’s theorem. I. Geometric aspects

    Michael Shub;Steve Smale

  • Newton's method on Riemannian manifolds and a geometric model for the human spine

    Roy L. Adler;Jean‐Pierre Dedieu;Joseph Y. Margulies;Marco Martens

  • Complexity of Bezout’s Theorem II Volumes and Probabilities

    Michael Shub;Steve Smale

  • How many eigenvalues of a random matrix are real

    Alan Edelman;Eric Kostlan;Michael Shub

  • Neighborhoods of hyperbolic sets

    M. Hirsch;J. Palis;C. Pugh;M. Shub

  • Complexity of Bezout's theorem IV: probability of success; extensions

    Michael Shub;Steve Smale

  • Boundary behavior of interior point algorithms in linear programming

    Nimrod Megiddo;Michael Shub

  • Complexity of Bezout's theorem V: polynomial time

    M. Shub;S. Smale

  • Pathological foliations and removable zero exponents

    Michael Shub;Amie Wilkinson

  • Stabilité globale des systèmes dynamiques

    Michael Shub

  • Stably Ergodic Dynamical Systems and Partial Hyperbolicity

    Charles Pugh;Michael Shub

  • Expanding endomorphisms of the circle revisited

    Michael Shub;Dennis Sullivan

  • Ergodicity of Anosov actions

    Charles Pugh;Michael Shub

  • Dynamical systems, filtrations and entropy

    M. Shub

Frequent Co-Authors

Felipe Cucker
Felipe Cucker City University of Hong Kong
Steve Smale
Steve Smale City University of Hong Kong
Charles Pugh
Charles Pugh University of California, Berkeley
Morris W. Hirsch
Morris W. Hirsch University of California, Berkeley
Dennis Sullivan
Dennis Sullivan Stony Brook University
Carles Simó
Carles Simó University of Barcelona
David Ruelle
David Ruelle Institut des Hautes Études Scientifiques
Chai Wah Wu
Chai Wah Wu IBM (United States)
Manuel Blum
Manuel Blum Carnegie Mellon University
Nimrod Megiddo
Nimrod Megiddo IBM (United States)

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