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D-Index & Metrics

Discipline name D-Index World Ranking National Ranking Publications Citations
Mathematics 55 774 17 294 18259

Carlo Cercignani publications per year

The chart shows the history of publications by Carlo Cercignani between 1962 and 2012, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Carlo Cercignani published across 51 years, from 1962 to 2012, averaging 7.1 papers a year. Output peaked at 28 publications in 2006. 1 of the 364 publications appeared in the last two years.

No. of publications
5 10 15 20 25
Bar chart. Horizontal axis: year, 1962 to 2012. Vertical axis: number of publications, 0 to 28. Peak 28 publications in 2006. 1962: 1 publication 1963: 3 publications 1964: 2 publications 1965: 4 publications 1966: 7 publications 1967: 11 publications 1968: 7 publications 1969: 7 publications 1970: 2 publications 1971: 3 publications 1972: 5 publications 1973: 1 publication 1974: 2 publications 1975: 1 publication 1976: 2 publications 1977: 4 publications 1978: 0 publications 1979: 6 publications 1980: 2 publications 1981: 2 publications 1982: 3 publications 1983: 6 publications 1984: 7 publications 1985: 8 publications 1986: 5 publications 1987: 5 publications 1988: 18 publications 1989: 4 publications 1990: 8 publications 1991: 11 publications 1992: 8 publications 1993: 9 publications 1994: 19 publications 1995: 8 publications 1996: 4 publications 1997: 14 publications 1998: 23 publications 1999: 9 publications 2000: 15 publications 2001: 12 publications 2002: 21 publications 2003: 10 publications 2004: 3 publications 2005: 15 publications 2006: 28 publications 2007: 8 publications 2008: 5 publications 2009: 3 publications 2010: 2 publications 2011: 0 publications 2012: 1 publication
1962 2012

364 publications in total across all disciplines

View publications per year as a table
Carlo Cercignani: publications per year, 1962 to 2012
Year Publications
1962 1
1963 3
1964 2
1965 4
1966 7
1967 11
1968 7
1969 7
1970 2
1971 3
1972 5
1973 1
1974 2
1975 1
1976 2
1977 4
1978 0
1979 6
1980 2
1981 2
1982 3
1983 6
1984 7
1985 8
1986 5
1987 5
1988 18
1989 4
1990 8
1991 11
1992 8
1993 9
1994 19
1995 8
1996 4
1997 14
1998 23
1999 9
2000 15
2001 12
2002 21
2003 10
2004 3
2005 15
2006 28
2007 8
2008 5
2009 3
2010 2
2011 0
2012 1
Total 364
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Carlo Cercignani publications per year - data summary

  • Carlo Cercignani, a Mathematics scholar from Polytechnic University of Milan, has 364 publications recorded across 51 years, from 1962 to 2012.
  • The oldest publication on record dates to 1962 and the most recent to 2012.
  • The most productive year is 2006, with 28 publications.
  • The least productive years with any output are 1962, 1973, 1975 and 2012, with 1 publication each.
  • 2 of the 51 years in the span carry no publications at all (1978 and 2011).
  • The rate of publication averages 7.1 papers per year over the whole span, or 7.4 per year counting only the 49 years with at least one publication.
  • The last 5 years on the chart (2008-2012) hold 11 publications, 3% of the career total.
  • Split into equal eras - 1962-1978: 62 publications (3.6 per year); 1979-1995: 129 publications (7.6 per year); 1996-2012: 173 publications (10.2 per year).
  • Comparing the opening and closing eras, the overall trend of publication is rising.

Carlo Cercignani 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 Carlo Cercignani 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, 292–296 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: 294 publications — 85th percentile

85% 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 34 294
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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Carlo Cercignani 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.
  • Carlo Cercignani, a Mathematics scholar from Polytechnic University of Milan, records 294 publications - the 85th percentile of the discipline.
  • 85% of ranked Mathematics scientists score the same or lower than Carlo Cercignani, and about 15% score higher.
  • The median of the discipline falls in the 172–176 publications range, and Carlo Cercignani 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).

Carlo Cercignani 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 Carlo Cercignani 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, 55 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: 55 D-Index — 79th percentile

79% 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 55
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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Carlo Cercignani 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.
  • Carlo Cercignani, a Mathematics scholar from Polytechnic University of Milan, records 55 D-Index - the 79th percentile of the discipline.
  • 79% of ranked Mathematics scientists score the same or lower than Carlo Cercignani, and about 21% score higher.
  • The median of the discipline falls in the 42 D-Index range, and Carlo Cercignani 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).

Overview

Carlo Cercignani was affiliated with the Polytechnic University of Milan in Italy. Throughout their career, Cercignani contributed to the academic community primarily through research activities conducted within this institution.

No recent papers, frequent co-authors, or publication venues have been noted in available data for Cercignani, and there is no listing of main fields or subfields of study related to their research output. Similarly, no detailed information on specific topics of work or book publications has been recorded.

Details about awards or recognitions received by Cercignani have not been documented in available sources. The overall profile indicates that the scientist's contributions exist but without explicit data on published works or formal distinctions made available for review.

Cercignani is reported as deceased, and this profile reflects their career and contributions in the past tense based on the information provided.

Best Publications

  • The Boltzmann equation and its applications

    Carlo Cercignani

  • Theory and application of the Boltzmann equation

    C. Cercignani;Raphael Aronson

  • The mathematical theory of dilute gases

    Carlo Cercignani;Reinhard Illner;Mario Pulvirenti

  • Mathematical Methods in Kinetic Theory

    Carlo Cercignani;R. Dorfman

  • The Relativistic Boltzmann Equation: Theory and Applications

    Carlo Cercignani;Gilberto Medeiros Kremer

  • Kinetic models for gas-surface interactions

    C. Cercignani;M. Lampis

  • Mathematical Methods In Kinetic Theory

    Carlo Cercignani;Robert E. Street

  • Rarefied gas dynamics : from basic concepts to actual calculations

    Carlo Cercignani

  • Flow of a Rarefied Gas between Two Parallel Plates

    Carlo Cercignani;Adelia Daneri

  • Ludwig Boltzmann: The Man Who Trusted Atoms

    Carlo Cercignani

  • Numerical Evaluation of the Slip Coefficient

    Sergio Albertoni;Carlo Cercignani;Laura Gotusso

  • Many-particle dynamics and kinetic equations

    Carlo Cercignani;V. I. Gerasimenko;D. I︠a︡. Petrina

  • Self-Similar Asymptotics for the Boltzmann Equation with Inelastic and Elastic Interactions

    Alexander Bobylev;C. Cercignani

  • The Boltzmann Equation

    Carlo Cercignani

  • Elementary solutions of the linearized gas-dynamics boltzmann equation and their application to the slip-flow problem

    Carlo Cercignani

  • Variational Approach to Boundary‐Value Problems in Kinetic Theory

    Carlo Cercignani;Carlo Domenico Pagani

  • On the Boltzmann equation for rigid spheres

    Carlo Cercignani

  • Variational approach to gas flows in microchannels

    Carlo Cercignani;Maria Lampis;Silvia Lorenzani

  • Proof of an asymptotic property of self-similar solutions of the Boltzmann equation for granular materials

    Alexander Bobylev;C. Cercignani;G. Toscani

  • Theory and Application of the Boltzmann Equation

    C. Cercignani;A. S. Berman

Frequent Co-Authors

Irene M. Gamba
Irene M. Gamba The University of Texas at Austin
Chi-Wang Shu
Chi-Wang Shu Brown University
Kazuo Aoki
Kazuo Aoki National Cheng Kung University
Pierre-Louis Lions
Pierre-Louis Lions Collège de France
José A. Carrillo
José A. Carrillo University of Oxford
David Ruelle
David Ruelle Institut des Hautes Études Scientifiques
Giuseppe Toscani
Giuseppe Toscani University of Pavia
Eliseo Ranzi
Eliseo Ranzi Polytechnic University of Milan
Tiziano Faravelli
Tiziano Faravelli Polytechnic University of Milan
Richard V. E. Lovelace
Richard V. E. Lovelace Cornell University

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