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D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 51 1022 870 79 67 208 11097

Robert S. MacKay publications per year

The chart shows the history of publications by Robert S. MacKay between 1953 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Robert S. MacKay published across 73 years, from 1953 to 2025, averaging 4.2 papers a year. Output peaked at 28 publications in 1993. 30 of the 307 publications appeared in the last two years.

No. of publications
5 10 15 20 25
Bar chart. Horizontal axis: year, 1953 to 2025. Vertical axis: number of publications, 0 to 28. Peak 28 publications in 1993. 1953: 1 publication 1954: 1 publication 1955: 0 publications 1956: 0 publications 1957: 1 publication 1958: 1 publication 1959: 0 publications 1960: 0 publications 1961: 0 publications 1962: 0 publications 1963: 2 publications 1964: 1 publication 1965: 1 publication 1966: 1 publication 1967: 0 publications 1968: 0 publications 1969: 0 publications 1970: 0 publications 1971: 0 publications 1972: 0 publications 1973: 0 publications 1974: 0 publications 1975: 0 publications 1976: 0 publications 1977: 0 publications 1978: 0 publications 1979: 0 publications 1980: 0 publications 1981: 1 publication 1982: 1 publication 1983: 3 publications 1984: 5 publications 1985: 2 publications 1986: 5 publications 1987: 11 publications 1988: 7 publications 1989: 5 publications 1990: 3 publications 1991: 15 publications 1992: 6 publications 1993: 28 publications 1994: 10 publications 1995: 4 publications 1996: 3 publications 1997: 11 publications 1998: 8 publications 1999: 6 publications 2000: 13 publications 2001: 2 publications 2002: 2 publications 2003: 3 publications 2004: 5 publications 2005: 4 publications 2006: 6 publications 2007: 4 publications 2008: 5 publications 2009: 1 publication 2010: 5 publications 2011: 5 publications 2012: 3 publications 2013: 8 publications 2014: 4 publications 2015: 6 publications 2016: 3 publications 2017: 7 publications 2018: 6 publications 2019: 3 publications 2020: 15 publications 2021: 8 publications 2022: 8 publications 2023: 8 publications 2024: 12 publications 2025: 18 publications
1953 2025

307 publications in total across all disciplines

View publications per year as a table
Robert S. MacKay: publications per year, 1953 to 2025
Year Publications
1953 1
1954 1
1955 0
1956 0
1957 1
1958 1
1959 0
1960 0
1961 0
1962 0
1963 2
1964 1
1965 1
1966 1
1967 0
1968 0
1969 0
1970 0
1971 0
1972 0
1973 0
1974 0
1975 0
1976 0
1977 0
1978 0
1979 0
1980 0
1981 1
1982 1
1983 3
1984 5
1985 2
1986 5
1987 11
1988 7
1989 5
1990 3
1991 15
1992 6
1993 28
1994 10
1995 4
1996 3
1997 11
1998 8
1999 6
2000 13
2001 2
2002 2
2003 3
2004 5
2005 4
2006 6
2007 4
2008 5
2009 1
2010 5
2011 5
2012 3
2013 8
2014 4
2015 6
2016 3
2017 7
2018 6
2019 3
2020 15
2021 8
2022 8
2023 8
2024 12
2025 18
Total 307
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Robert S. MacKay 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 Robert S. MacKay sits on this spectrum.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 207–211 publications, is where this scientist sits. 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 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 publications 537+

This scientist: 208 publications — 65th percentile

65% of scientists in this discipline score the same or lower.

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

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64 208
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
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Robert S. MacKay 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 Robert S. MacKay sits on this spectrum.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 51 D-Index, is where this scientist sits. 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: 51 D-Index — 73rd percentile

73% of scientists in this discipline score the same or lower.

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

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57 51
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
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Overview

Robert S. MacKay is affiliated with the University of Warwick in the United Kingdom and has a research profile primarily rooted in the field of Physics and Astronomy. Their work spans several subfields, including Statistical and Nonlinear Physics, Nuclear and High Energy Physics, Astronomy and Astrophysics, Molecular Biology, and Economics and Econometrics.

Their research topics cover a variety of areas such as Quantum Chaos and Dynamical Systems, Magnetic Confinement Fusion Research, Mathematical Dynamics and Fractals, Nonlinear Dynamics and Pattern Formation, Complex Network Analysis Techniques, Advanced Thermodynamics and Statistical Mechanics, and Nonlinear Waves and Solitons.

MacKay has contributed to multiple recent papers, among which are:

  • How directed is a directed network?, 2020, Royal Society Open Science
  • The physics of gamma-ray bursts, 2020, Contemporary Physics

Frequent co-authors of MacKay include:

  • N. Kallinikos
  • J. W. Burby
  • David Martinez-del-Rio
  • C. Baesens
  • Astghik Mavisakalyan

MacKay's work has appeared regularly in several publication venues, with notable recurring appearances in:

  • arXiv (Cornell University)
  • Nonlinearity
  • Contemporary Physics
  • Royal Society Open Science
  • Plasma Physics and Controlled Fusion

Best Publications

  • Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators

    R S MacKay;S Aubry

  • Transport in Hamiltonian systems

    R.S. Mackay;J.D. Meiss;I.C. Percival

  • Renormalisation in Area-Preserving Maps

    Robert Sinclair MacKay

  • Universal behaviour in families of area-preserving maps

    J.M. Greene;R.S. MacKay;F. Vivaldi;M.J. Feigenbaum

  • A renormalization approach to invariant circles in area-preserving maps

    R.S. MacKay

  • Hamiltonian dynamical systems : a reprint selection

    R. S. Mackay;J. D. Meiss

  • Three coupled oscillators: mode-locking, global bifurcations and toroidal chaos

    C. Baesens;J. Guckenheimer;S. Kim;R. S. MacKay

  • Frontiers of chaotic advection

    Hassan Aref;John R. Blake;Marko Budišić;Silvana S.S. Cardoso

  • Hamiltonian dynamical systems

    R.S MacKay;J.D Meiss

  • Energy thresholds for discrete breathers in one-, two- and three-dimensional lattices

    S. Flach;K. Kladko;R. S. MacKay

  • Converse KAM: theory and practice

    R. S. MacKay;I. C. Percival

  • Stochasticity and Transport in Hamiltonian Systems

    R. S. MacKay;J. D. Meiss;I. C. Percival

  • Resonances in area-preserving maps

    R. S. Mackay;J. D. Meiss;I. C. Percival

  • Transition to topological chaos for circle maps

    R S Mackay;C Treser

  • Rotation vectors and entropy for homeomorphisms of the torus isotopic to the identity

    J. Llibre;R. S. Mackay

  • Stability of Water Waves

    Robert Sinclair MacKay;Philip Geoffrey Saffman

  • Localized oscillations in conservative or dissipative networks of weakly coupled autonomous oscillators

    Jacques-Alexandre Sepulchre;Robert S MacKay

  • Multistability in networks of weakly coupled bistable units

    R. S. MacKay;J.-A. Sepulchre

  • Greene's residue criterion

    R S MacKay

  • Breathers on a diatomic FPU chain

    R Livi;M Spicci;R S MacKay

  • Linear stability of symplectic maps

    J. E. Howard;R. S. MacKay

Frequent Co-Authors

James D. Meiss
James D. Meiss University of Colorado Boulder
Michael Waterson
Michael Waterson University of Warwick
Jaume Llibre
Jaume Llibre Autonomous University of Barcelona
John Guckenheimer
John Guckenheimer Cornell University
Dirk Helbing
Dirk Helbing ETH Zurich
Serge Aubry
Serge Aubry Centre national de la recherche scientifique, CNRS
Thierry Dauxois
Thierry Dauxois École Normale Supérieure de Lyon
Anthony C. Davison
Anthony C. Davison École Polytechnique Fédérale de Lausanne
Dmitry E. Pelinovsky
Dmitry E. Pelinovsky McMaster University
Steven R. Bishop
Steven R. Bishop University College London

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