Xavier Buff

Xavier Buff
Xavier Buff
	Xavier Buff, Oberwolfach 2008
Born	December 16, 1971
Alma mater	University of Paris-Sud
Occupation	Mathematician

Xavier Buff (born 16 December 1971) is a French mathematician, specializing in dynamical systems.

Buff received in 1996 his Ph.D. (promotion) from the University of Paris-Sud under Adrien Douady with thesis Points fixe de renormalisation.[1] As a postdoc he was in the academic year 1997–1998 the H. C. Wang Assistant Professor at Cornell University. At the Paul Sabatier University (Université Toulouse III) he became in 1998 a maître de conférences, achieved in 2006 his habilitation with habilitation thesis Disques de Siegel et ensembles de Julia d'aire strictement positive, and became in 2008 a full professor.[2]

In 2010 he was an invited speaker at the International Congress of Mathematicians in Hyderabad and gave a talk Quadratic Julia Sets with Positive Area based on joint work with Arnaud Chéritat. In 2006 Buff and Chéritat received the Prix Leconte of the French Academy of Sciences for their collaborative work on Julia sets with positive mass; they proved the existence of quadratic polynomials that have positive Lebesgue measure.[3] In 2008 Buff, Chéritat, and Pascale Roesch received a Young Researchers grant[4] from Agence Nationale de la Recherche. In 2009 Buff became a member of the Institut Universitaire de France.

Selected publications

with A. Chéritat: Quadratic Julia sets with positive area, Annals of Mathematics, vol. 176, 2012, pp. 673-746
with A. Chéritat: A new proof of a conjecture of Yoccoz, Annales de l’institut Fourier, vol. 61, 2011, pp. 319-350
with A. Chéritat: The Brjuno function continuously estimates the size of quadratic Siegel disks, Annals of Mathematics, vol. 164, 2006, pp. 265–312
with A. Chéritat: Upper Bound for the Size of Quadratic Siegel Disks, Inventiones Mathematicae, vol. 156, 2004, pp. 1-24 doi:10.1007/s00222-003-0331-6
with C. Henriksen: Julia sets in parameter spaces, Communications in Mathematical Physics, vol. 220, 2001, pp. 333-375 doi:10.1007/PL00005568
with A. Chéritat: Ensembles de Julia quadratiques de mesure de Lebesgue strictement positive, C. R. Acad. Sci. Paris, vol. 341, 2005, pp. 669-674 doi:10.1016/j.crma.2005.10.001
with Leila Schneps, Jérôme Fehrenbach, Pierre Lochak, Pierre Vogel: Moduli Spaces of Curves, Mapping Class Groups and Field Theory, AMS and SMF 2003

gollark: But you can't automatically detect whether a particular keyword or trending item is a political ideology.

gollark: The best* way would probably be a Twitter scraper to determine how much people are talking about each ideology, but their API is really annoying to get access to and you'd need to explicitly compile a list or something.

gollark: I should totally implement this! It would be really easy with a simple hashing-type thing. The hard part would just be finding the political views and determine the weights (as I assume you don't want all politics with the same frequency).

gollark: Consistent political views are for people with consistent political views.

gollark: Alternatively, you could implement a political belief calendar.

References

Xavier Buff at the Mathematics Genealogy Project
Buff's homepage at Université Toulouse III
Jean-Christophe Yoccoz: Ensembles de Julia de mesure positive et disques de Siegel des polynômes quadratiques, d’après X. Buff et A. Chéritat, Séminaire Bourbaki 966, 2006
Project number ANR-08-JCJC-0002-01, At the Boundary of Chaos

External links

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[1] Xavier Buff at the Mathematics Genealogy Project

[2] Buff's homepage at Université Toulouse III

[3] Jean-Christophe Yoccoz: Ensembles de Julia de mesure positive et disques de Siegel des polynômes quadratiques, d’après X. Buff et A. Chéritat, Séminaire Bourbaki 966, 2006

[4] Project number ANR-08-JCJC-0002-01, At the Boundary of Chaos