Djalil CHAFAÏ (شاﻓﻌﻲ جلیل)
Professor of mathematics
⋅ Université
Paris-Est
⋅ Marne-la-Vallée
Scientific profile:
mostly mathematician, amateur of physics and of informatics.
Mathematical taste:
algebraic-geometric rigidity in randomness, and in soft analysis.
- Duties (teaching, administration, editorial tasks, ...)
- Research (topics, seminars, conferences, papers, books, ...)
- Doctoral students (past and present)
- Software (C++, LaTeX, Python, ...)
- Miscellany (just for fun)
Duties
- Teaching
- Administration
- Editorial tasks
- Other tasks
Research activities
I am currently working on making coffee without breaking the teapot (weak breakfast conjecture).
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 physics)
- 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
Scientific life in Marne-la-Vallée
Scientific agenda
Underlined item if participation to the organization.
Publications
You may
read Publications:
science, money, and human comedy (on my blog).
-
List of papers
on arXiv (free access, doi and blog-links provided)
- List
of works on HAL (free access, doi and Bibtex provided)
- Mathematical Reviews author profile (non free access, by subscription)
- Google Scholar
author profile (free access, e-mail alerts provided)
-
Personal co-authors directory
(free access, links to databases provided)
- Books:
-
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).
Draft PDF (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.
Buy this book · Errata (PDF 234K,
2012-05-16) · 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.
Buy this book · Math. Reviews · Photo of S.O. Bologs · Private access for sobologs
Preface (PDF) · Errata (PDF 346K,
2010-09-27) · Expanded chapter one on HAL
- eBook:
These documents are (un)published in the
prestigious Journal
of Unpublished Results:
-
Chafaï, D.
-
About the spectral analysis of large random Markov kernels
Rough talk notes (2012) [PDF]
-
Quelques mots sur l'inégalité de concentration de Azuma-Hoeffding
Talk notes in French (2012) [PDF]
-
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]
-
Behavior of the extremal singular values of random matrices
Rough lecture notes (2009) [PDF]
-
Dimension d'entropie, d'après Guionnet and Shlyakhtenko
Rough talk notes in French (2008) [PDF]
-
Random projections, marginals, and moments
Rough
expository notes (2007) [PDF]
-
Inégalités de Poincaré et Gross pour mesures de Bernoulli, Poisson, et Gauss
Expository notes in French (2005) [HAL]
-
Sur certaines mesures produit conditionnées
Rough talk notes in French (2005) [PDF]
-
Elementary proof of inequalities on paths space for
Lévy processes
Short note (2002) [PDF]
-
Covariance de modèles d'interface et marches aléatoires
en environnement aléatoire
Rough talk notes in French (2002) [PDF]
-
Sur les inégalités de Sobolev logarithmiques en théorie de l'information et pour des systèmes de spins conservatifs en mécanique statistique
Mémoire de Doctorat (2002) [TEL]
-
Contributions à l'étude de modèles biologiques, d'inégalités fonctionnelles, et de matrices aléatoires
Mémoire d'habilitation à diriger des recherches (2008) [TEL]
-
Chafaï, D. and Concordet, D.
Covariance matrices with prescribed null entries
Rough technical report
(2006) [PDF]
-
Chafaï, D. and Malrieu, F.
A note on functional inequalities for some Lévy processes
Short note
(2002) [PDF]
Extended by
Gentil, I. and
Imbert, C. in two published papers: (2008) [HAL] and (2009) [HAL]
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)
LaTeX2ε
document class for Electronic Journal of Probability and Electronic Communications in Probability
-
Chafaï, D.
The
pbsheet LaTeX2ε class (2004)
LaTeX2ε
document class for your problems sheets
-
Chafaï, D. and
Lyons, T. J.
Computational Rough Paths (CoRoPa)
(2003)
C++ template
classes libraries handling tree structures and free Lie algebras,
including Campbell-Baker-Hausdorff formula, shuffle product, Dynkin map,
dynamic Hall bases, etc. Based on
STL and 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...