Department of Mathematics
Welcome to Laurent Saloff-Coste webpage; Bienvenue!
Laurent Saloff-Coste
Professor and Chair, Department of Mathematics, Cornell University
Mail address: Department of Mathematics, Malott Hall, Cornell University, Ithaca, NY, 14853-4201, USA
email: lsc (at) math.cornell.edu
phone: (607) 255 9928 & 255 7241
fax: (607) 255 7149
office: 320A & 567, Malott Hall
Assistant to the Chair: Brenda Smith (607) 255 4253
Editorial
activities:
- Potential Analysis (Chief Editor) : For
instructions on how to submit a paper, go to
http://pota.edmgr.com
or click
here
- Probability Surveys (Chief Editor): For
instructions on how to submit a paper, go to http://www.i-journals.org/ps/ or click here
- Probability Theory and Related Fields (Editor): See instructions
for authors
- Journal of Theoretical Probability (Editor): See instructions
for authors
- Annales Scientifiques de l'École Normale Superieure (Editor): See Instructions for authors
Research interests:
- Random walks on groups.
- Analysis and potential theory on
manifolds. Heat equation, heat diffusion and heat kernel.
- Analysis and potential
theory on Lie groups and locally compact groups.
Convolution semigroups.
- Dirichlet forms. Associated Markov
processes and geometries.
- Finite Markov chains. Quantitative
analysis of ergodic Markov chains.
Research supported in part by NSF
grant DMS-1004771
Books and Chapters:
- Analysis and geometry on groups.
Cambridge Tracts in Mathematics, 100. Cambridge University Press, Cambridge, 1992. xii+156 pp. ISBN: 0-521-35382-3 (with Th. Coulhon and N. Varopoulos)
- Lectures on finite Markov chains.
Lectures on probability theory and statistics (Saint-Flour, 1996),
301–413, Lecture Notes in Math., 1665, Springer, Berlin, 1997.
- Aspects of Sobolev-type inequalities.
London Mathematical Society Lecture Note Series, 289. Cambridge University Press, Cambridge, 2002. x+190 pp. ISBN: 0-521-00607-4
- Random walks on finite groups.
Probability on discrete structures,
263–346, Encyclopaedia Math. Sci., 110, Springer, Berlin, 2004.
- Neumann
and Dirichlet Heat Kernels in Inner Uniform Domains, Astérisque 336,
Société Mathématique de France, 2011 (with Pavel Gyrya)
Former graduate
Students:
- Andrzej Zuk (December 1996, Toulouse) Sur certaines
propriétés spectrales du Laplacien sur les graphes. webpage
- Pascal Lezaud (March 1998, Toulouse) Sur les déviations de la
moyenne empirique le long d'une trajectoire d'une chaine de
Markov. webpage
- Sandrine Roussel (June 1999, Toulouse) Marches
aléatoires sur le groupe symétrique.
- Sebastien Blachère (December 2000, Toulouse)
Agrégation limitée par diffusion interne et temps de
coupure sur les groupes discrets à coissance polynomiale. webpage
- David Revelle (June 2002, Cornell) Random walks on solvable
groups.
- Lee
Gibson (June 2005, Cornell) The number of sites visited by
a random walk on an infinite graph. webpage
- Sharad
Goel (June 2005, Cornell) Estimating mixing times: techniques
and applications. webpage
- Guan-Yu
Chen (June 2006, Cornell) The cut-off phenomenon for
finite Markov chains. webpage
- Melanie
Pivarski (July 2006, Cornell) Heat kernels on Euclidean
complexes. webpage
- Evgeniy
Klebanov (October 2006, Cornell) Asymptotic behavior of
convolutions of centered density on Lie groups of polynomial volume
growth .
- Pavel
Gyrya (June 2007, Cornell) Heat kernel estimates for inner
uniform subsets of Harnack-type Dirichlet spaces.
- Jessica
Zuniga (June 2008, Cornell) Merging of some time homogeneous and
inhomogeneous Markov chains.
- Santi Tasena (June 2010, Cornell) .
- Russ Thompson (June 2010, Cornell) Random walks and subgroup geometry. webpage
