World's Best Scientists 2026 revealed!

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 40 2013 1766 851 699 141 8812

Russell Lyons publications per year

The chart shows the history of publications by Russell Lyons between 1972 and 2023, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Russell Lyons published across 52 years, from 1972 to 2023, averaging 2.8 papers a year. Output peaked at 13 publications in 2016. 2 of the 146 publications appeared in the last two years.

No. of publications
5 10
Bar chart. Horizontal axis: year, 1972 to 2023. Vertical axis: number of publications, 0 to 13. Peak 13 publications in 2016. 1972: 1 publication 1973: 0 publications 1974: 0 publications 1975: 0 publications 1976: 0 publications 1977: 0 publications 1978: 0 publications 1979: 0 publications 1980: 2 publications 1981: 0 publications 1982: 3 publications 1983: 0 publications 1984: 3 publications 1985: 2 publications 1986: 1 publication 1987: 2 publications 1988: 8 publications 1989: 1 publication 1990: 1 publication 1991: 2 publications 1992: 2 publications 1993: 0 publications 1994: 3 publications 1995: 3 publications 1996: 5 publications 1997: 4 publications 1998: 2 publications 1999: 7 publications 2000: 3 publications 2001: 1 publication 2002: 6 publications 2003: 7 publications 2004: 2 publications 2005: 1 publication 2006: 3 publications 2007: 6 publications 2008: 5 publications 2009: 2 publications 2010: 1 publication 2011: 3 publications 2012: 0 publications 2013: 2 publications 2014: 3 publications 2015: 2 publications 2016: 13 publications 2017: 9 publications 2018: 5 publications 2019: 3 publications 2020: 11 publications 2021: 4 publications 2022: 1 publication 2023: 1 publication
1972 2023

146 publications in total across all disciplines

View publications per year as a table
Russell Lyons: publications per year, 1972 to 2023
Year Publications
1972 1
1973 0
1974 0
1975 0
1976 0
1977 0
1978 0
1979 0
1980 2
1981 0
1982 3
1983 0
1984 3
1985 2
1986 1
1987 2
1988 8
1989 1
1990 1
1991 2
1992 2
1993 0
1994 3
1995 3
1996 5
1997 4
1998 2
1999 7
2000 3
2001 1
2002 6
2003 7
2004 2
2005 1
2006 3
2007 6
2008 5
2009 2
2010 1
2011 3
2012 0
2013 2
2014 3
2015 2
2016 13
2017 9
2018 5
2019 3
2020 11
2021 4
2022 1
2023 1
Total 146
Download as CSV

Russell Lyons publications per year - data summary

  • Russell Lyons, a Mathematics scholar from Indiana University, has 146 publications recorded across 52 years, from 1972 to 2023.
  • The oldest publication on record dates to 1972 and the most recent to 2023.
  • The most productive year is 2016, with 13 publications.
  • The least productive years with any output are 1972, 1986, 1989, 1990 and others, with 1 publication each.
  • 11 of the 52 years in the span carry no publications at all (1973, 1974, 1975, 1976 and others).
  • The rate of publication averages 2.8 papers per year over the whole span, or 3.6 per year counting only the 41 years with at least one publication.
  • The last 5 years on the chart (2019-2023) hold 20 publications, 14% of the career total.
  • Split into equal eras - 1972-1989: 23 publications (1.3 per year); 1990-2007: 58 publications (3.2 per year); 2008-2023: 65 publications (4.1 per year).
  • Comparing the opening and closing eras, the overall trend of publication is rising.

Russell Lyons 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 Russell Lyons 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, 137–141 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: 141 publications — 33rd percentile

33% 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 98 141
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
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
Download as CSV

Russell Lyons publication distribution in Mathematics in 2026 - data summary

  • The chart plots the publication count of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 100 ranges running from 42–46 to 537+ publications.
  • Russell Lyons, a Mathematics scholar from Indiana University, records 141 publications - the 33rd percentile of the discipline.
  • 33% of ranked Mathematics scientists score the same or lower than Russell Lyons, and about 67% score higher.
  • The median of the discipline falls in the 172–176 publications range, and Russell Lyons ranks below the median.
  • The most crowded range is 142–146 publications, holding 112 scientists (3% of the field).
  • 47% of the field sits in the lowest quarter of the value range (up to 162–166 publications), so the distribution leans towards the lower end of the scale.
  • The final bar has no upper bound: it groups every scientist with 537 publications or more, 100 scientists in all (3% of the field).

Russell Lyons 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 Russell Lyons 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, 40 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: 40 D-Index — 45th percentile

45% 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 40
41 136
42 93
43 108
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57
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
Download as CSV

Russell Lyons D-index placement in Mathematics in 2026 - data summary

  • The chart plots the discipline H-index (D-index) of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 57 ranges running from 30 to 86+ D-Index.
  • Russell Lyons, a Mathematics scholar from Indiana University, records 40 D-Index - the 45th percentile of the discipline.
  • 45% of ranked Mathematics scientists score the same or lower than Russell Lyons, and about 55% score higher.
  • The median of the discipline falls in the 42 D-Index range, and Russell Lyons ranks below the median.
  • The most crowded range is 30 D-Index, holding 174 scientists (5% of the field).
  • 58% of the field sits in the lowest quarter of the value range (up to 44 D-Index), so the distribution is heavily right-skewed and high scores are rare.
  • The final bar has no upper bound: it groups every scientist with 86 D-Index or more, 99 scientists in all (3% of the field).

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 1990 - Fellow of Alfred P. Sloan Foundation

Overview

Russell Lyons is affiliated with Indiana University in the United States and works primarily in the field of mathematics. Their research spans multiple subfields including mathematical physics, geometry and topology, statistics and probability, molecular biology, and applied mathematics.

The main subjects of their research include stochastic processes and statistical mechanics, Markov chains and Monte Carlo methods, geometric and algebraic topology, mathematical dynamics and fractals, point processes and geometric inequalities, theoretical and computational physics, and algorithms and data compression.

Russell Lyons has published extensively, with notable papers including:

  • Poisson boundaries of lamplighter groups: proof of the Kaimanovich-Vershik conjecture (2020, Journal of the European Mathematical Society)
  • Lower bounds for trace reconstruction (2020, The Annals of Applied Probability)
  • Induced graphs of uniform spanning forests (2020, Annales de l'Institut Henri Poincaré Probabilités et Statistiques)
  • A reverse Aldous-Broder algorithm (2021, Annales de l'Institut Henri Poincaré Probabilités et Statistiques)
  • Explicit universal minimal constants for polynomial growth of groups (2022, Journal of Group Theory)

The scientist frequently collaborates with several co-authors, including Yuval Peres, Nina Holden, Xin Sun, Avinoam Mann, and Romain Tessera.

Russell Lyons has contributed to an array of publication venues, with multiple works appearing in:

  • arXiv (Cornell University)
  • The Annals of Applied Probability
  • Annales de l'Institut Henri Poincaré Probabilités et Statistiques
  • The Annals of Probability
  • Journal of the European Mathematical Society

Awards granted to Russell Lyons include the fellowship of the American Mathematical Society in 2013 and the Alfred P. Sloan Foundation fellowship in 1990.

Best Publications

  • Probability on Trees and Networks

    Russell Lyons;Yuval Peres

  • Processes on Unimodular Random Networks

    David J. Aldous;Russell Lyons

  • Conceptual proofs of L log L criteria for mean behavior of branching processes

    Russell Lyons;Robin Pemantle;Yuval Peres

  • Random Walks and Percolation on Trees

    Russell Lyons

  • Distance covariance in metric spaces

    Russell Lyons

  • Determinantal probability measures

    Russell Lyons;Russell Lyons

  • Uniform spanning forests

    Itai Benjamini;Russell Lyons;Yuval Peres;Oded Schramm

  • A Simple Path to Biggins’ Martingale Convergence for Branching Random Walk

    Russell Lyons

  • Asymptotic Enumeration of Spanning Trees

    Russell Lyons

  • The Spread of Evidence-Poor Medicine via Flawed Social-Network Analysis

    Russell Lyons

  • Group-invariant Percolation on Graphs

    I. Benjamini;R. Lyons;Y. Peres;O. Schramm

  • Random Walks, Capacity and Percolation on Trees

    Russell Lyons

  • Ergodic theory on Galton—Watson trees: speed of random walk and dimension of harmonic measure

    Russell Lyons;Robin Pemantle;Yuval Peres

  • The Ising model and percolation on trees and tree-like graphs

    Russell Lyons

  • Random Walk in a Random Environment and First-Passage Percolation on Trees

    Russell Lyons;Robin Pemantle

  • Biased random walks on Galton-Watson trees

    Russell Lyons;Robin Pemantle;Yuval Peres

  • Phase transitions on nonamenable graphs

    Russell Lyons

  • Indistinguishability of Percolation Clusters

    Russell Lyons;Oded Schramm

  • A Conceptual Proof of the Kesten-Stigum Theorem for Multi-Type Branching Processes

    Thomas Kurtz;Russell Lyons;Robin Pemantle;Yuval Peres

  • A measurable-group-theoretic solution to von Neumann’s problem

    Damien Gaboriau;Russell Lyons

Frequent Co-Authors

Oded Schramm
Oded Schramm Microsoft (United States)
Robin Pemantle
Robin Pemantle University of Pennsylvania
Itai Benjamini
Itai Benjamini Weizmann Institute of Science
Olle Häggström
Olle Häggström Chalmers University of Technology
Kevin Zumbrun
Kevin Zumbrun Indiana University
David Aldous
David Aldous University of California, Berkeley
Peter Winkler
Peter Winkler Dartmouth College
Alexander S. Kechris
Alexander S. Kechris California Institute of Technology
Charles Radin
Charles Radin The University of Texas at Austin
Fedor Nazarov
Fedor Nazarov Kent State University

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

Pursuing a Mathematics degree in the USA opens diverse career pathways, especially when combined with complementary fields like business and data analytics. For those interested in leadership roles or business applications, exploring year long mba programs can be an efficient way to gain advanced skills without lengthy commitments.

Many students wonder about flexibility during their educational journey. Fortunately, some programs accommodate academic mobility, allowing students to can you transfer mba credits between institutions, which provides greater convenience and reduces redundancy in coursework.

Mathematics graduates increasingly turn toward the growing field of data science. The demand for professionals skilled in interpreting complex datasets has made analytics masters programs a popular choice, offering specialized knowledge crucial for careers in technology, finance, and healthcare.

For those seeking a smoother admission process, identifying the easiest mba specialization may be a practical strategy. Understanding program accessibility can help students align their goals with achievable educational opportunities.

Best Scientists Citing Russell Lyons

Trending Scientists

Recently Published Articles