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Évolution des publications scientifiques Bibliometry and mathematics Étienne GHYS. Académie des Sciences 14-15 mai 2007. Colloque de l’Académie des sciences "Évolution des publications scientifiques - Le regard des chercheurs" des 14-15 mai 2007. Mathematics : a small world.
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Évolution des publications scientifiques Bibliometry and mathematicsÉtienne GHYS Académie des Sciences 14-15 mai 2007 Colloque de l’Académie des sciences "Évolution des publications scientifiques - Le regard des chercheurs" des 14-15 mai 2007
Mathematics : a small world • ≃ 2 500 000 papers written since Euclid… • ≃ 70 000 mathematical papers each year.
Mathematicians don’t write too much but they read a lot ! • Typically, 1 or 2 published papers per year (averaged over the career) is considered as a good activity. • A mathematical paper has usually 1 or 2 authors, sometimes 3. • Usually, the bibliography of a paper contains 10 to 20 items.
Number of Citations : a useless tool in mathematics • Highly depends on the subdomain • Example : 27 mathematicians from the Académie des Sciences ! • From 5850 to • 60 …
Mathematical « time scale » is long ! • Typically a paper is published 1 to 2 years after submission (sometimes more): • Referee procedure is fundamental (and long!) • « Half life » of a maths paper is 10 to 20 years. Longer for some very good papers.
The « Impact factor » is not appropriate for mathematicians
Example : the Comptes Rendus :Mathématique • Among the mathematical papers published between 2000 and 2004 • 3 469 contain a citation to a Compte Rendu Note published in the 90’s • 1 600 in the 80’s • 871 in the 70’s • 465 in the 60’s • 190 in the 50’s • 123 in the 19th century !
How to evaluate a mathematician ? • Only good method : read his/her papers ! • Acceptable method : trust somebody who read his/her papers. • Prizes, Awards, Invitation to Congresses, etc. • Comité National des Universités, Comité National d’évaluation de la recherche scientifique, etc.
The mathematical world is small enough to allow a « personalized » evaluation. Read Condorcet ! Essai sur l’application de l’analyse à la probabilité des décisions rendues à la pluralité des voix (1785)