World's Best Scientists 2026 revealed!
Josef Hofbauer

Josef Hofbauer

Award Badge
Mathematics
Austria
2026

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 60 534 450 9 9 158 28325

Josef Hofbauer publications per year

The chart shows the history of publications by Josef Hofbauer between 1979 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Josef Hofbauer published across 47 years, from 1979 to 2025, averaging 3.8 papers a year. Output peaked at 30 publications in 1998. 6 of the 180 publications appeared in the last two years.

No. of publications
10 20 30
Bar chart. Horizontal axis: year, 1979 to 2025. Vertical axis: number of publications, 0 to 30. Peak 30 publications in 1998. 1979: 1 publication 1980: 1 publication 1981: 8 publications 1982: 2 publications 1983: 0 publications 1984: 5 publications 1985: 4 publications 1986: 0 publications 1987: 3 publications 1988: 2 publications 1989: 3 publications 1990: 3 publications 1991: 2 publications 1992: 0 publications 1993: 0 publications 1994: 4 publications 1995: 1 publication 1996: 2 publications 1997: 2 publications 1998: 30 publications 1999: 3 publications 2000: 2 publications 2001: 5 publications 2002: 7 publications 2003: 2 publications 2004: 5 publications 2005: 7 publications 2006: 4 publications 2007: 3 publications 2008: 5 publications 2009: 9 publications 2010: 4 publications 2011: 5 publications 2012: 2 publications 2013: 0 publications 2014: 2 publications 2015: 5 publications 2016: 4 publications 2017: 2 publications 2018: 3 publications 2019: 4 publications 2020: 1 publication 2021: 2 publications 2022: 11 publications 2023: 4 publications 2024: 2 publications 2025: 4 publications
1979 2025

180 publications in total across all disciplines

View publications per year as a table
Josef Hofbauer: publications per year, 1979 to 2025
Year Publications
1979 1
1980 1
1981 8
1982 2
1983 0
1984 5
1985 4
1986 0
1987 3
1988 2
1989 3
1990 3
1991 2
1992 0
1993 0
1994 4
1995 1
1996 2
1997 2
1998 30
1999 3
2000 2
2001 5
2002 7
2003 2
2004 5
2005 7
2006 4
2007 3
2008 5
2009 9
2010 4
2011 5
2012 2
2013 0
2014 2
2015 5
2016 4
2017 2
2018 3
2019 4
2020 1
2021 2
2022 11
2023 4
2024 2
2025 4
Total 180
Download as CSV

Josef Hofbauer 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 Josef Hofbauer 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, 157–161 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: 158 publications — 42nd percentile

42% 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
157–161 106 158
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

Josef Hofbauer 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 Josef Hofbauer 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, 60 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: 60 D-Index — 85th percentile

85% 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
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41 60
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

Research.com Recognitions

  • 2026 - Research.com Mathematics in Austria Leader Award
  • 2025 - Research.com Mathematics in Austria Leader Award
  • 2023 - Research.com Mathematics in Austria Leader Award

Overview

Josef Hofbauer is affiliated with the University of Vienna in Austria. Their research focuses primarily on Biochemistry, Genetics and Molecular Biology, with a significant number of publications in this field. Their work extends into several subfields, such as Molecular Biology, Computer Networks and Communications, Sociology and Political Science, Statistical and Nonlinear Physics, and Management Science and Operations Research.

The main topics covered by Hofbauer's research include:

  • Gene Regulatory Network Analysis
  • Nonlinear Dynamics and Pattern Formation
  • Protein Structure and Dynamics
  • Evolutionary Game Theory and Cooperation
  • Game Theory and Applications
  • Microbial Metabolic Engineering and Bioproduction
  • Advanced Thermodynamics and Statistical Mechanics

Recent publications by Hofbauer include:

  • Permanence via invasion graphs: incorporating community assembly into modern coexistence theory, 2022, Journal of Mathematical Biology
  • Adding species to chemical reaction networks: Preserving rank preserves nondegenerate behaviours, 2022, Applied Mathematics and Computation
  • Oscillations in three-reaction quadratic mass-action systems, 2023, Studies in Applied Mathematics
  • Limit cycles in mass-conserving deficiency-one mass-action systems, 2022, Electronic Journal of Qualitative Theory of Differential Equations
  • Some minimal bimolecular mass-action systems with limit cycles, 2023, Nonlinear Analysis Real World Applications

The venues where Hofbauer has published most frequently include:

  • arXiv (Cornell University)
  • Journal of Mathematical Biology
  • Applied Mathematics and Computation
  • Studies in Applied Mathematics
  • Electronic Journal of Qualitative Theory of Differential Equations

Frequent co-authors collaborating with Hofbauer are:

  • Balázs Boros
  • Murad Banaji
  • Sebastian J. Schreiber
  • Christina Pawlowitsch
  • Andrea Gaunersdorfer

Best Publications

  • Evolutionary games and population dynamics

    Josef Hofbauer;Karl Sigmund

  • The Theory of Evolution and Dynamical Systems: Mathematical Aspects of Selection

    Josef Hofbauer;Karl Sigmund

  • The theory of evolution and dynamical systems

    Josef Hofbauer

  • Evolutionary Game Dynamics

    Josef Hofbauer;Karl Sigmund;Karl Sigmund

  • Volunteering as Red Queen Mechanism for Cooperation in Public Goods Games

    Christoph Hauert;Christoph Hauert;Silvia De Monte;Silvia De Monte;Josef Hofbauer;Karl Sigmund;Karl Sigmund

  • q-Catalan numbers

    J. Fürlinger;Josef Hofbauer

  • ON THE GLOBAL CONVERGENCE OF STOCHASTIC FICTITIOUS PLAY

    Josef Hofbauer;William H. Sandholm

  • Replicator dynamics for optional public good games.

    Christoph Hauert;Silvia De Monte;Silvia De Monte;Josef Hofbauer;Karl Sigmund

  • A Note on Evolutionary Stable Strategies and Game Dynamics

    Josef Hofbauer;P. Schuster;K. Sigmund

  • Stochastic Approximations and Differential Inclusions

    Michel Benaïm;Josef Hofbauer;Sylvain Sorin

  • The adaptive advantage of phenotypic memory in changing environments.

    Eva Jablonka;Beata Oborny;Istvan Molnar;Eva Kisdi

  • Stable games and their dynamics

    Josef Hofbauer;William H. Sandholm

  • Adaptive dynamics and evolutionary stability

    J. Hofbauer;J. Hofbauer;K. Sigmund;K. Sigmund

  • Coexistence for systems governed by difference equations of Lotka-Volterra type.

    J. Hofbauer;V. Hutson;W. Jansen

  • Evolution in games with randomly disturbed payoffs

    Josef Hofbauer;William H. Sandholm

  • A general cooperation theorem for hypercycles

    Josef Hofbauer

  • Uniform persistence and repellors for maps

    Josef Hofbauer;Joseph W.-H. So

  • The selection mutation equation.

    Josef Hofbauer

  • On the occurrence of limit cycles in the Volterra-Lotka equation

    Josef Hofbauer

  • Multiple limit cycles for three dimensional Lotka-Volterra equations

    J. Hofbauer;J.W.-H. So

  • Stochastic Approximation and Differential Inclusions

    M. R. Benam;Josef Hofbauer;Sylvain Sorin

Frequent Co-Authors

Karl Sigmund
Karl Sigmund University of Vienna
Sylvain Sorin
Sylvain Sorin Institut de Mathématiques de Jussieu
Michel Benaïm
Michel Benaïm University of Neuchâtel
Christoph Hauert
Christoph Hauert University of British Columbia
William H. Sandholm
William H. Sandholm University of Wisconsin–Madison
Sebastian J. Schreiber
Sebastian J. Schreiber University of California, Davis
Jörg Oechssler
Jörg Oechssler Heidelberg University
Reinhard Bürger
Reinhard Bürger University of Vienna
Jörgen W. Weibull
Jörgen W. Weibull Stockholm School of Economics
John Maynard Smith
John Maynard Smith University of Sussex

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 various pathways, including advanced studies and diverse career options. Many students explore online options to balance flexibility with quality education. For those interested in business and management roles, an online MBA transfer credits program can offer valuable opportunities to build on existing coursework without repeating classes.

Data-driven careers are growing rapidly, making a focus on data pivotal. Mathematics graduates often consider master's degrees in data analytics to expand their skill sets. Exploring data analysis programs can help students develop expertise in interpreting complex data, preparing them for roles in various industries.

For those weighing options on further education, it's important to assess admissions competitiveness. Understanding what MBA programs can I get into allows candidates to align their goals with achievable programs that suit their academic and professional background.

Additionally, some may prioritize program accessibility. Identifying the easiest MBA program options online can provide a practical route to gaining valuable credentials without the barriers found in more competitive programs.

Best Scientists Citing Josef Hofbauer

Trending Scientists

Recently Published Articles