Djalil CHAFAÏ (شاﻓﻌﻲ جلیل)
Professor of mathematics ⋅ Université Paris-Est ⋅ Marne-la-Vallée
Mathematical domain:
analysis, probability, statistics, their applications
Mathematical taste: algebraic-geometric rigidity in soft analytic statements
Research topics up to now
- Markov processes/semigroups, their equilibrium/geometry
- Sobolev type inequalities and partial differential equations
- Poisson and Gauss measures, heat kernels, limit theorems
- Stochastic models and stochastic inverse problems:
- Mathematical Biology (pharmacology, biostatistics)
- Mathematical Physics (spin systems, statistical mechanics)
- Computer Science (data streams processing, queuing)
- Earth Science (variational assimilation in meteorology)
- Geometric functional analysis, concentration, convexity, isoperimetry
- Random matrices, random graphs, and high dimensional phenomena
- Boltzmann-Shannon and
Voiculescu entropies, information theory
- Random structures and algorithms, stochastic simulation
I am currently working on making coffee without breaking the teapot (weak breakfast conjecture).
Some other professional activities
- Administrative
- Editorial
- Engineering
- Pedagogical
Scientific life in Marne-la-Vallée
Scientific agenda
Underlined item if participation to the organization.
-
Bordenave, Ch.
and
Chafaï, D.
Around the circular law
Probability Surveys 9, 1-89 (2012)
arXiv ⋅ HAL · DOI · Bib ⋅ Blog
-
Cattiaux, P. and
Chafaï, D. and
Guillin, A.
Central limit theorems for additive functionals of ergodic Markov diffusions processes
Preprint, submitted (2011)
arXiv ⋅ HAL · Bib ⋅ Blog
-
Chafaï, D. and
Joulin, A.
Intertwining and commutation relations for birth-death processes
Preprint, in revision for Bernoulli (2012)
arXiv ⋅ HAL · Bib ⋅ Blog
-
Bordenave, Ch.
and
Caputo, P.
and
Chafaï, D.
Spectrum of non-Hermitian heavy tailed random matrices
Communications in Mathematical Physics 307, 513-560 (2011)
arXiv ⋅ HAL · DOI · Bib ⋅ Blog
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Bordenave, Ch.
and
Caputo, P.
and
Chafaï, D.
Circular Law Theorem for Random Markov Matrices
Preprint, accepted in
Probability Theory and Related Fields (2010)
arXiv ⋅ HAL · DOI · Bib ⋅ Blog
-
Bordenave, Ch.
and
Caputo, P.
and
Chafaï, D.
Spectrum of large random reversible Markov chains: heavy tailed weights on the complete graph
Annals of Probability 39, 1544-1590 (2011)
arXiv · HAL · DOI · Bib
-
Chafaï, D.
and
Malrieu, F.
and
Paroux, K.
On the long time behavior of the TCP window size process
Stochastic Processes and their Applications 120, 1518-1534 (2010)
arXiv · HAL · DOI · Bib
-
Bordenave, Ch.
and
Caputo, P.
and
Chafaï, D.
Spectrum of large random reversible Markov chains: two examples
ALEA Latin American Journal of Probability and Mathematical Statistics 7, 41-64 (2010)
arXiv · HAL · MR ⋅ Bib
-
Cattiaux, P.
and
Chafaï, D.
and
Motsch, S.
Asymptotic analysis and diffusion limit of the Persistent Turning Walker Model
Asymptotic Analysis 67, 17-31 (2010)
arXiv · HAL · DOI · MR ⋅ Bib
-
Chafaï, D.
and
Malrieu, F.
On fine properties of mixtures with respect to concentration of measure and Sobolev type inequalities
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques 46, 72-96 (2010)
arXiv · HAL · DOI · MR ⋅ Bib
-
Chafaï, D.
and
Concordet, D.
Confidence regions for the multinomial parameter with small sample size
Journal of the American Statistical Association 104, 1071-1079 (2009)
arXiv · HAL · MR · DOI · Bib
-
Chafaï, D.
Aspects of large random Markov kernels
Stochastics 81, 415-429 (2009)
DOI · MR · Bib
-
Bakry, D.
and
Baudoin, F.
and
Bonnefont, M.
and
Chafaï, D.
On gradient bounds for the heat kernel on the Heisenberg group
Journal of Functional Analysis 255, 1905-1938 (2008)
arXiv · HAL · MR · DOI · Bib
-
Antic, J.
and
Laffont, C.
and
Chafaï, D.
and
Concordet, D.
Comparison of nonparametric methods in nonlinear mixed effects models
Computational Statistics and Data Analysis 53, 642-656 (2009)
Special issue on Computational and clinical trials
HAL · DOI · Bib
- Chafaï, D.
Circular law for noncentral random matrices
Journal of Theoretical Probability 23, 945-950 (2010)
arXiv · HAL ⋅ DOI · Bib
- Chafaï, D.
The Dirichlet Markov Ensemble
Journal of Multivariate Analysis 101, 555-567 (2010)
arXiv · HAL · DOI · MR ⋅ ZBM ⋅ Bib
- Chafaï, D.
and
Concordet, D.
Explicit formulas for a continuous stochastic maturation model: Application to anticancer drug pharmacokinetics/pharmacodynamics
Stochastic Models 24, 376-400 (2008)
arXiv · HAL · MR · DOI · Bib
- Chafaï, D.
and
Concordet, D.
A new method for the estimation of variance matrix with prescribed zeros in nonlinear mixed effects models
Statistics and Computing 19, 129-138 (2009)
arXiv · HAL ⋅ DOI · Bib
-
Chafaï, D.
and
Concordet, D.
On the strong consistency of asymptotic M-estimators
Journal of Statistical Planning and Inference 137, 2774-2783 (2007)
arXiv · HAL · MR · DOI · Bib
- Chafaï, D.
Binomial-Poisson entropic inequalities and the M/M/∞ queue
ESAIM Probability and Statistics 10, 317-339 (2006)
arXiv · HAL · MR · DOI · Numdam · Bib
-
Chafaï, D.
and
Loubes, J.-M.
On nonparametric maximum likelihood for a class of stochastic inverse
problems
Statistics & Probability Letters 76, 1225-1237 (2006)
arXiv · HAL · MR · DOI · Bib
- Chafaï, D.
Entropies, Convexity, and Functional Inequalities - On Φ-entropies and Φ-Sobolev inequalities
Journal of Mathematics of Kyoto University 44, 325-363 (2004)
arXiv · HAL · MR · Project-Euclid · Bib
- Chafaï, D.
Glauber versus Kawasaki for spectral gap and log-Sobolev inequalities of some unbounded conservative spin systems
Markov Processes and Related Fields 9, 341-362 (2003)
arXiv · HAL · MR · Bib
- Chafaï, D.
Gaussian maximum of entropy and reversed logarithmic Sobolev inequality
Séminaire de Probabilités XXXVI,
Lecture Notes in Mathematics 1801, 194-200 (2002)
arXiv · HAL · MR · DOI · Numdam · Bib
- Rabier, F.
and
Fourrié, N.
and
Chafaï, D.
and
Prunet, P.
Channel selection methods for infrared atmospheric sounding interferometer radiances
Quarterly Journal of The Royal Meteorological Society 128, 1011-1027 (2002)
PDF · DOI · Bib · this journal is not indexed by the Mathematical Reviews
- Chafaï, D.
and
Ledoux, M.
Méthodes fonctionnelles pour des grandes déviations
quasi-gaussiennes (in French)
Comptes Rendus à l'Académie des Sciences Paris 329, 523-526 (1999)
PDF · MR · DOI ⋅ Bib
-
Chafaï, D. and
Guédon, O. and
Lecué, G. and
Pajor, A.
Interactions between compressed sensing, random matrices, and high dimensional geometry
In revision for
Panoramas et Synthèses
Société Mathématique de France (SMF), (2012).
BibTeX ·
Draft PDF (2011-06-29, comments are welcome!)
- Bercu,
B. and Chafaï, D.
Modélisation stochastique et simulation - Cours et applications
(in French)
Mathématiques appliquées pour le Master - Collection Dunod Sciences Sup
Société de Mathématiques Appliquées et Industrielles (SMAI),
Dunod, (2007) 352p.
BibTeX · Buy this book · Errata (PDF 233K,
2011-03-06) · Codes (ZIP
173K,
2010-09-27)
-
Ané, C. and
Blachère, S. and
Chafaï, D. and
Fougères, P. and
Gentil, I. and
Malrieu, F. and
Roberto, C. and
Scheffer, G.,
with a preface by
Bakry, D.
and
Ledoux, M.
Sur les inégalités de Sobolev logarithmiques (in French)
Panoramas et Synthèses 10,
Société Mathématique de France (SMF),
(2000) xvi+217p.
BibTeX · MR · Buy this book · Photo of S.O. Bologs · Private access for sobologs
Preface (PDF) · Errata (PDF 346K,
2010-09-27) ·Expanded chapter one on HAL
The following documents are (un)published in the
prestigious Journal of
Unpublished Results.
-
Chafaï, D.
Behavior of the extremal singular values of random matrices
Fall school on Interactions between compressed sensing, random matrices, and high dimensional geometry
Unpublished lecture notes (2009)
[PDF]
-
Chafaï, D.
Random projections, marginals, and moments
Unpublished notes (2007)
[PDF]
-
Chafaï, D. and Concordet, D.
Covariance matrices with prescribed null entries
Unpublished notes (2006)
[PDF]
-
Chafaï, D.
Inégalités de Poincaré et de Gross pour les mesures de
Bernoulli, de Poisson, et de Gauss (in French)
Unpublished notes
(2005) [HAL]
-
Chafaï, D.
An elementary proof of some functional inequalities on paths space for
Lévy processes by a cylindrical method
Unpublished notes (2002) [PDF]
-
Chafaï, D. and Malrieu, F.
A note on functional inequalities for some Lévy processes
Unpublished notes (2002) [PDF]
For
some extensions of this work, see the papers:
-
Chafaï, D.
Mémoire de doctorat (2002) and Mémoire d'habilitation à diriger des recherches (2008)
Here are some working seminars notes and talks slides:
-
Graphes et matrices aléatoires - Quelques aspects
Talk slides in French (2012) [PDF]
-
Matrices aléatoires - Quelques aspects
Talk slides in French (2011) [PDF]
-
Autour du théorème central limite
Talk slides in French (2011) [PDF]
-
Dimension d'entropie, d'après Guionnet and Shlyakhtenko
Rough talk notes in French (2008) [PDF]
-
Sur certaines mesures produit conditionnées
Rough talk notes in French (2005) [PDF]
-
Covariance de modèles d'interface et marches aléatoires
en environnement aléatoire
Rough talk notes in French (2002) [PDF]
Have you heard about the Mathematics Genealogy Project?
-
Chafaï, D.
The w2m.py Python module/script (2011)
Python web spider walking through a subset of WWW and producing an adjacency matrix
-
Burdzy, K. and
Chafaï, D.
The ejpecp
LaTeX2ε class (2011)
Simple
LaTeX2ε
document class for Electronic Journal of Probability and Electronic Communications in Probability
-
Chafaï, D.
The
pbsheet LaTeX2ε class (2004)
Simple
LaTeX2ε
document class for your problems sheets
-
Chafaï, D. and
Lyons, T. J.
Computational Rough Paths (CoRoPa)
(2003)
Hosted by SourceForge.
Libraries of
C++ template
classes handling tree structures and free Lie algebras, including
Campbell-Baker-Hausdorff formula, shuffle product, Dynkin map, dynamic Hall
bases, etc. CoRoPa C++ is based on
the STL and is compatible with
GMP.
-
Chafaï, D.
Introduction à qmail (1998)
Accessible documentation (in French) for
the MTA qmail.
Translated into Spanish by Prieto, J. Ivan Juanes (Greek and Latin teacher, Canary Islands, Spain)
- Read & write my name
- On my passports and ID
cards, my name is written Djalil Chafaï
- Read Djalil like you read it in Django Reinhardt (thanks, Jack!!)
- Djalil is my first name and
Chafaï is my surname (family name)
- English speaking people should read my name as Jalil Shaf-i-e
- French speaking people should read it as Djèlil Chaf-aille-i
- Arabic
speaking people may read it directly شاﻓﻌﻲ جلیل
- All the rest of the world may read
IPA
ʃaːfɪʕɪ dʒəlɪl
- Maybe I will try with
berber's
Tifinagh
or MP3 ;-)
- For (La)TeX you may write
Djalil Chafa\"{\i}
- For ArabTeX you may use
^sAfi`iy ^galiyl
- For HTML just write
Djalil Chafaï
- For xML you may use
arabic
or IPA
-
Numbers
- Molecules
-
Papers
- Computer Science
- Probability & Statistics
- Numerical Analysis
- Mathematics & Biology
- Mathematics & Physics
-
Le physicien traite les problèmes du véhicule à une roue (la brouette), à deux roues (tilbury ou bicyclette), à trois, à quatre roues. Le mathématicien traite le problème général du véhicule à n roues, n étant entier ou fractionnaire, positif ou négatif, réel ou imaginaire. Henri Bouasse
- Free software
- Minds
- Mathematicians
- Hungarian mathematicians
- The probabilistic quartet:
Andrey Nikolaevich,
Joseph Leo,
Paul Pierre, and
Kiyosi
-
Free probability: E. P. Wigner and J. von Neumann were schoolmates in Budapest and colleagues in Princeton.
-
András
Sárközy
and Carlo
Bruni never wrote a joint paper... (their
MR graph distance is 4)
- Roger-Dominique Bakry (1954 - )
-
Y'a qu'un nombre fini d'idées
-
À part Cauchy-Schwarz... and more recently À part Pythagore...
-
Ce qui compte, en maths, c'est les idées
-
En général, dans un papier, entre l'abstract et le non-sense, il y a l'introduction
-
De toute manière, tous les papiers sont faux, et ça n'est pas grave, car personne ne les lit
-
Tu ferais mieux de te trouver un vrai métier...
- Laurent Miclo
- L'entropie, c'est l'opium du probabiliste
- Gian-Carlo Rota
(1932 - 1999)
- Ten Lessons I Wish I Had Been Taught, Notices of the AMS 44 (1997) [PDF]
-
Don't fight with success
-
You should only listen to advice that you do not have to
follow
- Paul Halmos (1916 - 2006)
- Don't just read it; fight it! Ask your own questions, look for your own examples, discover your own proofs. Is the hypothesis necessary? Is the converse true? What happens in the classical special case? What about the degenerate cases? Where does the proof use the hypothesis?
- Godfrey Harold Hardy (1877 - 1947)
- The mathematician’s patterns, like the painter’s or the poet’s must be beautiful; the ideas like the colours or the words, must fit together in a harmonious way. Beauty is the first test: there is no permanent place in the world for ugly mathematics.
- Hermann Weyl (1885 - 1955)
- My work always tried to unite the truth with the
beautiful, but when I had to choose one or the other, I usually chose the
beautiful.
-
Daniel W. Stroock
(1940 - )
-
Mathematics is one, and possibly the only, human endeavor for which there is a widely, if not universally, recognized criterion with which to determine truth. For this reason, mathematicians can avoid some of the interminable disputes which plague other fields. On the other hand, I sometimes wonder whether the most interesting questions are not those for which such disputes are inevitable.
- Terence Chi-Shen Tao
陶哲軒 (1975 - )
- Timothy Gowers (1963 - )
- William P. Thurston (1946 - )
- Some curiosities
- Money
- Who said that mathematicians do not like money? It seems at least that the
converse is false...
