Djalil CHAFAÏ (شاﻓﻌﻲ جلیل)
Professor of mathematics
at Université
Paris-Est Marne-la-Vallée (September 2009 - )
Junior member of Institut Universitaire de France (IUF) (October 2012 - October 2017)
Scientific profile:
mostly mathematician, amateur of physics and of informatics.
Mathematical taste:
algebraic-geometric rigidity in randomness, and in soft analysis.
I am currently working on making coffee without breaking the teapot (weak breakfast conjecture).
- 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
Underlined item if participation to the organization.
You may
read Publications:
science, money, and human comedy (on my blog).
- List
of works on HAL (almost complete, free access, doi and Bibtex provided)
-
List of papers
on arXiv (not complete, free access, doi and blog-links provided)
- Mathematical Reviews author profile (not complete, non free access, by subscription)
- Google Scholar
author profile (not complete, free access, e-mail alerts provided)
- Books:
-
Interactions between compressed sensing, random matrices, and high dimensional geometry
In collaboration with
Olivier Guédon,
Guillaume Lecué, and
Alain Pajor
To appear in
Panoramas et Synthèses 37,
Société Mathématique de France (SMF), (2012).
Draft PDF (comments are welcome!)
- Modélisation stochastique et simulation - Cours et applications
(in French)
In collaboration with Bernard Bercu
Mathématiques appliquées pour le Master - Collection Dunod Sciences Sup
Société de Mathématiques Appliquées et Industrielles (SMAI),
Dunod, (2007) 352p.
Buy this book · Errata (PDF 223K,
2012-10-11) · Codes (ZIP
173K,
2010-06-13)
-
Sur les inégalités de Sobolev logarithmiques (in French)
In collaboration with
Cécile Ané,
Sébastien Blachère,
Pierre Fougères,
Ivan Gentil,
Florent Malrieu,
Cyril Roberto and
Grégory Scheffer, and with a
preface by
Dominique Bakry
and
Michel Ledoux
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,
2010-06-13) · Expanded chapter one on HAL
- eBook:
Most of these documents are (un)published in the
prestigious Journal
of Unpublished Results. Some other documents, in French, are
available on my teaching page.
-
Libres pensées d'un mathématicien ordinaire (LPMO)
Recreational blog for amateur and professional mathematicians (2010-)
[WordPress]
Despite its French name, most blogposts are in English
-
Introduction aux matrices aléatoires
Journées mathématiques X-UPS (2013)
[Notes PDF, planches d'exposés PDF, et quelques questions/réponses]
-
Processus des restaurants chinois et loi d'Ewens
Écrit avec
Yan Doumerc et
Florent Malrieu
[PDF]
Paru dans RMS (ex Revue de Mathématiques Spéciales) volume 123 numéro 3 (2013)
-
The circular law
AMS Short course in San Diego (2013)
[Talk slides PDF]
In collaboration with Charles Bordenave [Lecture notes PDF]
-
About the spectral analysis of large random Markov kernels
Rough talk notes (2012) [PDF]
-
Quelques mots sur l'inégalité de concentration de Azuma-Hoeffding
Notes d'exposé (2012) [PDF]
-
Graphes et matrices aléatoires - Quelques aspects
Planches d'exposé (2012) [PDF]
-
Matrices aléatoires - Quelques aspects
Planches d'exposé (2011) [PDF]
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Autour du théorème central limite
Planches d'exposé (2011) [PDF]
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Behavior of the extremal singular values of random matrices
Rough lecture notes (2009) [PDF]
-
Dimension d'entropie, d'après Guionnet and Shlyakhtenko
Notes d'exposé (2008) [PDF]
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Questions/réponses simples de calcul stochastique
Notes pédagogiques (2008)
[PDF]
-
Random projections, marginals, and moments
Rough
expository notes (2007) [PDF]
-
Inégalités de Poincaré et Gross pour mesures de Bernoulli, Poisson, et Gauss
Notes d'exposition (2005) [HAL]
-
Sur certaines mesures produit conditionnées
Notes d'exposé (2005) [PDF]
-
Quelques mots sur l'entropie
Notes incomplètes (2002, 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
Notes d'exposé (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]
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Contributions à l'étude de modèles biologiques, d'inégalités fonctionnelles, et de matrices aléatoires
Mémoire d'habilitation à diriger des recherches (2008) [TEL]
-
Micro-cours avancé sur LaTeX et
le petit exemple associé
Notes
d'exposé au séminaire étudiant
du LSP (2001)
[PDF]
Ce document est obsolète.
-
Covariance matrices with prescribed null entries
In collaboration with Didier Concordet
Rough technical report
(2006) [PDF]
-
A note on functional inequalities for some Lévy processes
In collaboration with Florent Malrieu
Short note
(2002) [PDF]
Extended by
Ivan Gentil and
Cyril Imbert in two published papers: (2008) [HAL] and (2009) [HAL]
Have you heard about the Mathematics Genealogy Project?
- 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
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À part Cauchy-Schwarz... and more recently À part Pythagore...
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Ce qui compte, en maths, c'est les idées
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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
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Tu ferais mieux de te trouver un vrai métier...
- Jean-Pierre Serre (1926 - )
- John Forbes Nash Jr. (1928 - )
- The ideas I had about supernatural beings came to me the same way that my mathematical ideas did. So I took them seriously.
- Georges Brassens (1921 - 1981)
- Mais sans technique, un don n'est rien
♫ Qu'une sale manie... in Le mauvais sujet repenti
- 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.
- John von Neumann (1903 - 1957)
- If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is.
- 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...
