Laurent Saloff-Coste

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Laurent Saloff-Coste (* 1958 ) is a French mathematician who deals with analysis , probability theory and geometric group theory.

Saloff-Coste received his doctorate in 1983 from the University of Paris VI ( Pierre et Marie Curie ) ( Thèse de troisieme cycle ). He completed the second part of the French doctorate ( Doctorat d'Etat ) in 1989 with Nicolas Varopoulos ( Analyze harmonique et analyze réelle sur les groupes ). He was Professor at Paul Sabatier University (Toulouse III) in the 1990s and has been Professor of Mathematics at Cornell University in Ithaca, New York, where he also heads the faculty (2012).

As an analyst, Saloff-Coste deals with questions of probability theory, among other things in the investigation of partial differential equations or stochastic processes for diffusion processes on manifolds and their connection to the geometry of the underlying spaces and with random paths (random walks) on groups and their connection with the algebraic structure of the underlying groups. He also dealt with quantitative estimations of the properties of finite Markov chains and corresponding stochastic algorithms.

In 1994 he received the Rollo Davidson Prize . He is a fellow of the American Mathematical Society . In 2011 he was elected to the American Academy of Arts and Sciences .

Fonts

  • Aspects of Sobolev Type Inequalities , London Mathematical Society Lecture Notes, Volume 289, Cambridge University Press, 2002.
  • Random walks on finite groups , in Harry Kesten (editor) Probability on Discrete Structures , Encyclopaedia Math. Sciences, Volume 110, Springer Verlag, 2004, pp. 263–346.
  • with Persi Diaconis Comparison theorems for random walks on finite groups , Annals of Probability, Volume 21, 1993, pp. 2131-2156
  • Lectures on finite Markov chains , in Lectures on Probability Theory and Statistics , Lecture Notes in Mathematics, Volume 1665, 1997, pp. 301-413
  • with Nicholas Varopoulos, T. Coulhon Analysis and geometry on groups , Cambridge Tracts in Mathematics, Volume 100, Cambridge University Press 1992
  • with Dominique Bakry, Michael Ledoux Markov Semigroups at Saint Flour , Probability at Saint Flour series , Springer Verlag 2012

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
personal data
SURNAME Saloff-Coste, Laurent
BRIEF DESCRIPTION French mathematician
DATE OF BIRTH 1958