Gérard Rauzy

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Gérard Rauzy (born May 29, 1938 in Paris , † May 4, 2010 in Marseille ) was a French mathematician who dealt with number theory . He was a professor at the University of Aix-Marseille II.

Rauzy went to the Lycée Thiers in Marseille and studied at the Ecole Normale Superieure from 1957 . In 1960 he acquired the Agrégation in mathematics, obtained his diploma from Raphaël Salem and Charles Pisot and took part in the Paris number theory seminar by Pisot, Hubert Delange and Georges Poitou . In 1965 he received his doctorate from Pisot. From 1965 to 1967 he was Maitre de conferences in Lille and from 1967 professor at the University of Marseille (from 1971 at the newly founded University of Aix-Marseille II). There he co-founded the Center International de Rencontres Mathématiques (1981) and in 1992 a research group of the CNRS for discrete mathematics (from 1995 the Institut de Mathématiques de Luminy), of which he was the first director.

Among other things, he dealt with equal distribution of numbers mod 1, ergodic questions of number theory and introduced fractals named after him.

Rauzy fractals arise in the Tribonacci substitution (replacing the number 1 with 12, the number 2 with 13 and the number 3 with 1). The digits 1,2,3 correspond in the construction of the fractal to the advancement in one of the three coordinate axis directions and at the end the Tribonacci sequence is projected onto a suitable coordinate plane. Instead of the Tribonacci substitution, other substitution rules can also be used.

Rauzy fractal

literature

  • Jean-Claude Risset, Yves Meyer, Pierre Liardet, obituary in the Gazette des Mathématiciens, Volume 132, April 2012, pdf

Individual evidence

  1. ↑ Rauzy, Nomnbres algébriques et substitutions, Bull. Soc. Math. France, Vol. 110, 1982, pp. 147-178
  2. ↑ Pierre Arnoux, Edmund Harriss, What is a Rauzy Fractal?, Notices AMS, August 2014
personal data
SURNAME Rauzy, Gerard
ALTERNATIVE NAMES Rauzy, Gerard
BRIEF DESCRIPTION French mathematician
DATE OF BIRTH May 29, 1938
PLACE OF BIRTH Paris
DATE OF DEATH May 4, 2010
Place of death Marseille