Laurent Saloff-Coste (born 1958) is a French mathematician whose research is in
Analysis
Analysis ( : analyses) is the process of breaking a complex topic or substance into smaller parts in order to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle (38 ...
,
Probability theory
Probability theory is the branch of mathematics concerned with probability. Although there are several different probability interpretations, probability theory treats the concept in a rigorous mathematical manner by expressing it through a set o ...
, and
Geometric group theory.
Saloff-Coste received his "doctorat de 3eme cycle" in 1983 at the
Pierre and Marie Curie University
Pierre and Marie Curie University (french: link=no, Université Pierre-et-Marie-Curie, UPMC), also known as Paris 6, was a public university, public research university in Paris, France, from 1971 to 2017. The university was located on the Jussi ...
, Paris VI. He completed his "Doctorat d'Etat" in 1989 under
Nicholas Varopoulos
Nicholas Theodore Varopoulos ( el, Νικόλαος Βαρόπουλος, ''Nikolaos Varopoulos'', also ''Nicolas Varopoulos''; born 16 June 1940) is a Greek mathematician, who works on harmonic analysis and especially analysis on Lie groups.
Va ...
.
Mathematics Genealogy Project
/ref> In the 1990s, he worked as "Directeur de Recherche" (CNRS) at Paul Sabatier University
Paul Sabatier University (''Université Paul Sabatier'', UPS, also known as Toulouse III) is a French public university, in the Academy of Toulouse. It is one of the several successor universities of the University of Toulouse.
Toulouse III was ...
in Toulouse. Since 1998, he is a professor of Mathematics at Cornell University
Cornell University is a private statutory land-grant research university based in Ithaca, New York. It is a member of the Ivy League. Founded in 1865 by Ezra Cornell and Andrew Dickson White, Cornell was founded with the intention to teach an ...
in Ithaca, New York
Ithaca is a city in the Finger Lakes region of New York, United States. Situated on the southern shore of Cayuga Lake, Ithaca is the seat of Tompkins County and the largest community in the Ithaca metropolitan statistical area. It is named a ...
, where he was chair from 2009 to 2015.
Saloff-Coste works in the areas of analysis and probability theory, including problems involving geometry and partial differential equations. In particular, he has studied the behavior of diffusion processes on manifolds and their fundamental solutions, in connection to the geometry of the underlying spaces. He also studies random walks on groups and how their behavior reflects the algebraic structure of the underlying group. He has developed quantitative estimates for the convergence of finite Markov chain
A Markov chain or Markov process is a stochastic model describing a sequence of possible events in which the probability of each event depends only on the state attained in the previous event. Informally, this may be thought of as, "What happe ...
s and corresponding stochastic algorithms.
He received the Rollo Davidson Prize
The Rollo Davidson Prize is a prize awarded annually to early-career probabilists by the Rollo Davidson trustees. It is named after English mathematician Rollo Davidson (1944–1970).
Rollo Davidson Trust
In 1970, Rollo Davidson, a Fellow-elec ...
in 1994, and is a fellow of the American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
and of the Institute of Mathematical Statistics
The Institute of Mathematical Statistics is an international professional and scholarly society devoted to the development, dissemination, and application of statistics and probability. The Institute currently has about 4,000 members in all parts o ...
. In 2011 he was elected to the American Academy of Arts and Sciences
The American Academy of Arts and Sciences (abbreviation: AAA&S) is one of the oldest learned societies in the United States. It was founded in 1780 during the American Revolution by John Adams, John Hancock, James Bowdoin, Andrew Oliver, and ...
.
Selected publications
* ''Aspects of Sobolev Type Inequalities'', London Mathematical Society Lecture Notes, Band 289, Cambridge University Press, 2002.
* ''Random walks on finite groups'', in Harry Kesten
Harry Kesten (November 19, 1931 – March 29, 2019) was an American mathematician best known for his work in probability, most notably on random walks on groups and graphs, random matrices, branching processes, and percolation theory.
Biograph ...
(publisher) ''Probability on Discrete Structures'', Encyclopaedia Math. Sciences, Band 110, Springer Verlag, 2004, S. 263–346.
* with Persi Diaconis
Persi Warren Diaconis (; born January 31, 1945) is an American mathematician of Greek descent and former professional magician. He is the Mary V. Sunseri Professor of Statistics and Mathematics at Stanford University.
He is particularly known f ...
''Comparison theorems for random walks on finite groups'', Annals of Probability, Band 21, 1993, S. 2131–2156
* ''Lectures on finite Markov chains'', in ''Lectures on Probability Theory and Statistics'', Lecture Notes in Mathematics, Band 1665, 1997, S. 301-413
* with Nicholas Varopoulos
Nicholas Theodore Varopoulos ( el, Νικόλαος Βαρόπουλος, ''Nikolaos Varopoulos'', also ''Nicolas Varopoulos''; born 16 June 1940) is a Greek mathematician, who works on harmonic analysis and especially analysis on Lie groups.
Va ...
, T. Coulhon ''Analysis and geometry on groups'', Cambridge Tracts in Mathematics, Band 100, Cambridge University Press 1992
* with Dominique Bakry, Michel Ledoux ''Markov Semigroups at Saint Flour'', Series ''Probability at Saint Flour'', Springer Verlag 2012
External links
Website
References
{{DEFAULTSORT:Saloff-Coste, Laurent
Cornell University faculty
1958 births
Living people