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Mathematics
Germany
2026

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 88 89 72 4 4 350 30753
Physics 88 2384 2265 212 203 371 30634

Herbert Spohn publications per year

The chart shows the history of publications by Herbert Spohn between 1975 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Herbert Spohn published across 51 years, from 1975 to 2025, averaging 8.4 papers a year. Output peaked at 33 publications in 2023. 15 of the 430 publications appeared in the last two years.

No. of publications
10 20 30
Bar chart. Horizontal axis: year, 1975 to 2025. Vertical axis: number of publications, 0 to 33. Peak 33 publications in 2023. 1975: 2 publications 1976: 4 publications 1977: 4 publications 1978: 6 publications 1979: 3 publications 1980: 4 publications 1981: 2 publications 1982: 6 publications 1983: 7 publications 1984: 3 publications 1985: 6 publications 1986: 9 publications 1987: 4 publications 1988: 9 publications 1989: 4 publications 1990: 7 publications 1991: 21 publications 1992: 6 publications 1993: 5 publications 1994: 3 publications 1995: 7 publications 1996: 8 publications 1997: 6 publications 1998: 4 publications 1999: 8 publications 2000: 13 publications 2001: 11 publications 2002: 11 publications 2003: 14 publications 2004: 25 publications 2005: 12 publications 2006: 17 publications 2007: 7 publications 2008: 5 publications 2009: 7 publications 2010: 13 publications 2011: 16 publications 2012: 6 publications 2013: 6 publications 2014: 8 publications 2015: 14 publications 2016: 5 publications 2017: 11 publications 2018: 5 publications 2019: 6 publications 2020: 12 publications 2021: 5 publications 2022: 5 publications 2023: 33 publications 2024: 7 publications 2025: 8 publications
1975 2025

430 publications in total across all disciplines

View publications per year as a table
Herbert Spohn: publications per year, 1975 to 2025
Year Publications
1975 2
1976 4
1977 4
1978 6
1979 3
1980 4
1981 2
1982 6
1983 7
1984 3
1985 6
1986 9
1987 4
1988 9
1989 4
1990 7
1991 21
1992 6
1993 5
1994 3
1995 7
1996 8
1997 6
1998 4
1999 8
2000 13
2001 11
2002 11
2003 14
2004 25
2005 12
2006 17
2007 7
2008 5
2009 7
2010 13
2011 16
2012 6
2013 6
2014 8
2015 14
2016 5
2017 11
2018 5
2019 6
2020 12
2021 5
2022 5
2023 33
2024 7
2025 8
Total 430
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Herbert Spohn publications per year - data summary

  • Herbert Spohn, a Mathematics scholar from Technical University of Munich, has 430 publications recorded across 51 years, from 1975 to 2025.
  • The oldest publication on record dates to 1975 and the most recent to 2025.
  • The most productive year is 2023, with 33 publications.
  • The least productive years with any output are 1975 and 1981, with 2 publications each.
  • The rate of publication averages 8.4 papers per year over the whole span, or 8.4 per year counting only the 51 years with at least one publication.
  • The last 5 years on the chart (2021-2025) hold 58 publications, 13% of the career total.
  • Split into equal eras - 1975-1991: 101 publications (5.9 per year); 1992-2008: 162 publications (9.5 per year); 2009-2025: 167 publications (9.8 per year).
  • Comparing the opening and closing eras, the overall trend of publication is rising.

Herbert Spohn 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 Herbert Spohn 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, 347–351 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: 350 publications — 90th percentile

90% 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
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 17 350
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

Herbert Spohn 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.
  • Herbert Spohn, a Mathematics scholar from Technical University of Munich, records 350 publications - the 90th percentile of the discipline.
  • 90% of ranked Mathematics scientists score the same or lower than Herbert Spohn, and about 10% score higher.
  • The median of the discipline falls in the 172–176 publications range, and Herbert Spohn ranks above 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).

Herbert Spohn 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 Herbert Spohn 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, 86+ 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: 88 D-Index — 98th percentile

98% 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
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 88
Download as CSV

Herbert Spohn 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.
  • Herbert Spohn, a Mathematics scholar from Technical University of Munich, records 88 D-Index - the 98th percentile of the discipline.
  • 98% of ranked Mathematics scientists score the same or lower than Herbert Spohn, and about 2% score higher.
  • The median of the discipline falls in the 42 D-Index range, and Herbert Spohn ranks above 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

  • 2026 - Research.com Mathematics in Germany Leader Award
  • 2025 - Research.com Mathematics in Germany Leader Award
  • 2023 - Research.com Mathematics in Germany Leader Award
  • 2019 - Member of Academia Europaea
  • 2017 - Max Planck Medal, German Physical Society
  • 2015 - Henri Poincaré Prize, International Association of Mathematical Physics
  • 2011 - Dannie Heineman Prize for Mathematical Physics, American Physical Society and American Institute of Physics

Overview

Herbert Spohn is affiliated with the Technical University of Munich in Germany. Their research spans the fields of Physics and Astronomy as well as Mathematics, with a focus on subfields including Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics, Condensed Matter Physics, Geometry and Topology, and Statistics and Probability.

The main topics of their scholarly work include Quantum many-body systems, Theoretical and Computational Physics, Cold Atom Physics and Bose-Einstein Condensates, Algebraic structures and combinatorial models, Random Matrices and Applications, Advanced Thermodynamics and Statistical Mechanics, and Spectroscopy and Quantum Chemical Studies.

Herbert Spohn has contributed to several research publications. Some recent papers are:

  • Collision rate ansatz for the quantum integrable systems, 2020, SciPost Physics
  • Collision rate ansatz for the classical Toda lattice, 2020, Physical review. E
  • Robustness of Kardar-Parisi-Zhang scaling in a classical integrable spin chain with broken integrability, 2023, Physical review. B
  • Dynamics of Charged Particles and their Radiation Field, 2023, Cambridge University Press eBooks
  • Hydrodynamic equations for the Ablowitz-Ladik discretization of the nonlinear Schrödinger equation, 2022, Journal of Mathematical Physics

Their frequent co-authors include Abhishek Dhar, Manas Kulkarni, D. Roy, Anupam Kundu, and Dipankar Roy.

Herbert Spohn has published extensively in several scientific venues. The most frequent venues are:

  • arXiv (Cornell University)
  • Journal of Statistical Mechanics Theory and Experiment
  • Journal of Statistical Physics
  • Journal of Physics A Mathematical and Theoretical
  • Physical review. E

In terms of book publications, Spohn has authored the work titled Hydrodynamic Scales of Integrable Many-Body Systems, published by World Scientific in 2023.

Their recognitions include being named a Member of Academia Europaea in 2019, receiving the Max Planck Medal from the German Physical Society in 2017, the Henri Poincaré Prize from the International Association of Mathematical Physics in 2015, and the Dannie Heineman Prize for Mathematical Physics awarded jointly by the American Physical Society and the American Institute of Physics in 2011.

Best Publications

  • Large Scale Dynamics of Interacting Particles

    Herbert Spohn

  • A GALLAVOTTI-COHEN-TYPE SYMMETRY IN THE LARGE DEVIATION FUNCTIONAL FOR STOCHASTIC DYNAMICS

    Joel L. Lebowitz;Herbert Spohn

  • Kinetic equations from Hamiltonian dynamics: Markovian limits

    Herbert Spohn

  • Nonequilibrium steady states of stochastic lattice gas models of fast ionic conductors

    Sheldon Katz;Joel L. Lebowitz;Herbert Spohn

  • Scale Invariance of the PNG Droplet and the Airy Process

    Michael Prähofer;Herbert Spohn

  • Polymers on disordered trees, spin glasses, and traveling waves

    B. Derrida;H. Spohn

  • Dynamics of charged particles and their radiation field

    Herbert Spohn

  • Universal distributions for growth processes in 1+1 dimensions and random matrices

    Michael Prähofer;Herbert Spohn

  • Phase transitions in stationary nonequilibrium states of model lattice systems

    Sheldon Katz;Joel L. Lebowitz;H. Spohn

  • One-dimensional Kardar-Parisi-Zhang equation: an exact solution and its universality.

    Tomohiro Sasamoto;Herbert Spohn

  • Nonlinear Fluctuating Hydrodynamics for Anharmonic Chains

    Herbert Spohn

  • Entropy production for quantum dynamical semigroups

    Herbert Spohn

  • Irreversible Thermodynamics for Quantum Systems Weakly Coupled to Thermal Reservoirs

    Herbert Spohn;Joel L. Lebowitz

  • Bethe solution for the dynamical-scaling exponent of the noisy Burgers equation.

    Leh-Hun Gwa;Herbert Spohn

  • Six-vertex model, roughened surfaces, and an asymmetric spin Hamiltonian.

    Leh-Hun Gwa;Herbert Spohn

  • Growing interfaces uncover universal fluctuations behind scale invariance

    Kazumasa A. Takeuchi;Masaki Sano;Tomohiro Sasamoto;Herbert Spohn

  • Universality classes for deterministic surface growth.

    J. Krug;H. Spohn

  • Current Fluctuations for the Totally Asymmetric Simple Exclusion Process

    Michael Prähofer;Herbert Spohn

  • Excess noise for driven diffusive systems.

    H. van Beijeren;R. Kutner;H. Spohn

  • Long range correlations for stochastic lattice gases in a non-equilibrium steady state

    Herbert Spohn

  • Scale Invariance of the PNG Droplet and the Airy Process

    Michael Praehofer;Herbert Spohn

Frequent Co-Authors

Patrik L. Ferrari
Patrik L. Ferrari University of Bonn
Joel L. Lebowitz
Joel L. Lebowitz Rutgers, The State University of New Jersey
Alexander Komech
Alexander Komech University of Vienna
Tomohiro Sasamoto
Tomohiro Sasamoto Tokyo Institute of Technology
Stefano Olla
Stefano Olla Paris Dauphine University
Gregory L. Eyink
Gregory L. Eyink Johns Hopkins University
Michael Loss
Michael Loss Georgia Institute of Technology
Benjamin Doyon
Benjamin Doyon King's College London
Giovanni Gallavotti
Giovanni Gallavotti National Institute for Nuclear Physics
Michael Ghil
Michael Ghil École Normale Supérieure

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