World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
43
Citations
5836
World Ranking
1733
National Ranking
41

Gary Froyland 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 Gary Froyland 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: 125 publications — 23rd percentile

23% of scientists in this discipline score the same or lower.

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

Gary Froyland 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 Gary Froyland 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: 43 D-Index — 54th percentile

54% 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

  • 2020 - Fellow of the Australian Academy of Science

Overview

Gary Froyland is affiliated with the University of New South Wales in Australia. Their research spans across the fields of Mathematics and Physics and Astronomy, with a specialized focus on Statistical and Nonlinear Physics, Mathematical Physics, Oceanography, Atmospheric Science, and Geometry and Topology.

The scientist's primary research topics include Mathematical Dynamics and Fractals, Quantum chaos and dynamical systems, Nonlinear Dynamics and Pattern Formation, Chaos control and synchronization, Oceanographic and Atmospheric Processes, Advanced Differential Equations and Dynamical Systems, as well as Fluid Dynamics and Turbulent Flows.

Froyland has contributed multiple publications in a range of academic venues. Frequent publication sites include arXiv (Cornell University) with 21 publications, Nonlinearity with 4, Nature Communications with 2, Journal of Physical Oceanography with 2, and SIAM Journal on Applied Dynamical Systems with 2.

Recent papers authored or co-authored by Gary Froyland include:

  • Detecting the birth and death of finite-time coherent sets, 2023, Communications on Pure and Applied Mathematics
  • Optimal Linear Response for Markov Hilbert-Schmidt Integral Operators and Stochastic Dynamical Systems, 2022, Journal of Nonlinear Science
  • Equilibrium states for non-transitive random open and closed dynamical systems, 2022, Ergodic Theory and Dynamical Systems
  • Linear response for the dynamic Laplacian and finite-time coherent sets, 2021, Nonlinearity
  • Fourier approximation of the statistical properties of Anosov maps on tori, 2020, Nonlinearity

The frequent co-authors collaborating with Froyland include Jason Atnip, Cecilia González-Tokman, Péter Koltai, Sandro Vaienti, and Stefano Galatolo.

Gary Froyland has been recognized with the award of Fellow of the Australian Academy of Science in 2020.

Best Publications

  • Almost-invariant sets and invariant manifolds — Connecting probabilistic and geometric descriptions of coherent structures in flows

    Gary Froyland;Kathrin Padberg

  • The Algorithms Behind GAIO — Set Oriented Numerical Methods for Dynamical Systems

    Michael Dellnitz;Gary Froyland;Oliver Junge

  • A critical comparison of Lagrangian methods for coherent structure detection

    Alireza Hadjighasem;Mohammad Farazmand;Daniel Blazevski;Gary Froyland

  • LP-based disaggregation approaches to solving the open pit mining production scheduling problem with block processing selectivity

    Natashia Boland;Irina Dumitrescu;Gary Froyland;Ambros M. Gleixner

  • Transport in time-dependent dynamical systems: Finite-time coherent sets

    Gary Froyland;Naratip Santitissadeekorn;Adam Monahan

  • Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles

    Gary Froyland;Michael Dellnitz

  • An analytic framework for identifying finite-time coherent sets in time-dependent dynamical systems

    Gary Froyland

  • A strengthened formulation and cutting planes for the open pit mine production scheduling problem

    Andreas Bley;Natashia Boland;Christopher Fricke;Gary Froyland

  • Statistically optimal almost-invariant sets

    Gary Froyland

  • Extracting Dynamical Behavior via Markov Models

    Gary Froyland

  • Coherent sets for nonautonomous dynamical systems

    Gary Froyland;Simon Lloyd;Naratip Santitissadeekorn

  • Dynamic isoperimetry and the geometry of Lagrangian coherent structures

    Gary Froyland

  • How well-connected is the surface of the global ocean?

    Gary Froyland;Robyn M. Stuart;Erik van Sebille

  • Coherent structures and isolated spectrum for Perron-Frobenius cocycles

    Gary Froyland;Simon Lloyd;Anthony Quas

  • A rough-and-ready cluster-based approach for extracting finite-time coherent sets from sparse and incomplete trajectory data.

    Gary Froyland;Kathrin Padberg-Gehle

  • Optimizing the landside operation of a container terminal

    Gary Froyland;Thorsten Koch;Nicole Megow;Emily Duane

  • A semi-invertible Oseledets Theorem with applications to transfer operator cocycles

    Gary Froyland;Simon Lloyd;Anthony Quas

  • On the isolated spectrum of the Perron-Frobenius operator

    Michael Dellnitz;Gary Froyland;Stefan Sertl

  • Seasonal variability of the subpolar gyres in the Southern Ocean: a numerical investigation based on transfer operators

    M. Dellnitz;G. Froyland;C. Horenkamp;K. Padberg-Gehle

  • Estimating Long-Term Behavior of Flows without Trajectory Integration: The Infinitesimal Generator Approach

    Gary Froyland;Oliver Junge;Péter Koltai

Frequent Co-Authors

Michael Dellnitz
Michael Dellnitz University of Paderborn
Natashia Boland
Natashia Boland Georgia Institute of Technology
Sandro Vaienti
Sandro Vaienti Université de Toulon
Erik van Sebille
Erik van Sebille Utrecht University
Matthew H. England
Matthew H. England University of New South Wales
Kazuyuki Aihara
Kazuyuki Aihara University of Tokyo
Robert Behringer
Robert Behringer Duke University
George Haller
George Haller ETH Zurich
Don Weatherburn
Don Weatherburn University of New South Wales
Anne-Marie Treguier
Anne-Marie Treguier French Research Institute for Exploitation of the Sea

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