Ivar Ekeland

CEREMADE, Universit� Paris-Dauphine,

Membre de la Soci�t� Royale du Canada et de l'Academia Europea
Membre �tranger des Acad�mies des Sciences
de Norv�ge, de Palestine et d'Autriche

Docteur HC des universit�s
de Colombie Britannique, de Saint-P�tersbourg et de Vienne

 

PERSONNEL:


 
ENSEIGNEMENT, VULGARISATION, EXPLICATION

SOUVENIRS:

SCIENTIFIC PUBLICATIONS

BOOKS 
RESEARCH PAPERS (thematic)
RESEARCH PAPERS (chronological)

 BLOG

PRESENTATIONS DIVERSES

 




VIDEOS

2000,Paris, UTS, �conomie et math�matiques [video]

2007, Zurich, ICIAM, The idea of optimization (public lecture at ICIAM 2007) (note that the first page is blank) [video]
Les slides sont ici:
[pdf

2009, Paris, BNF, John Nash, des math�matiques au prix Nobel [video]

2011, Lille, MESH,  Sommes-nous rationnels ? [video]
Les slides sont ici:
[pdf]

2012, Minneapolis, IMA, The best of all possible worlds: the idea of optimization [video]

2013, UBC, Vancouver:  Mathematics and the planet Earth: a long life together [video]
Les slides sont ici:
[part 1] (note the first slide is blank) and [part 2]

2013, Montpellier, Agora des Savoirs, Les math�matiques ou l'origine des certitudes [video]

2014 TSE, Toulouse, Adverse selection and optimal transportation: a personal history  (in honor of Jean-Jacques Laffont) [video]

2017, Pisa, Scuola Normale Superiore, Euler, Lagrange, Caratheodory, and the calculus of variations [video]

2018, Paris, Dauphine, A qui et � quoi servent les math�matiques ? [video]
Les slides sont ici:
[pdf]

2019 Varese, Universit�, The role of mistakes in mathematics:an introduction to Spinoza, [video]
Les slides sont ici:
[pdf]


LIVRES / BOOKS

    1. " Th�orie des jeux et introduction � l'�conomie math�matique", Presses Universitaires de France, 110p [full-text]


    2 (with R. Temam) "Analyse convexe et probl�mes variationnels", Dunod-Gauthier-Villars, 1974, 340p.

    • English translation: "Convex analysis and variational problems", North-Holland-Elsevier, 1976;
    • republished by SIAM, "Classics in Applied mathematics", 1999
    • Russian translation: Mir,1979. [cover]


    3. "Elements d'�conomie math�matique", Hermann, 1979, 320p. [cover] [ back]

    • Russian translation: Mir, 1983. [cover]


    4. (with T. Turnbull) "Infinite-dimensional optimization and convexity", Chicago University Press, 1983 [cover]

    5. (with J.P. Aubin) "Applied nonlinear analysis", Wiley, 1984,520p. [cover]

    • republished by Wiley,
    • Russian translation, editions Mir, 1988 [cover]

    6. "Le calcul, l'impr�vu. Les figures du temps de K�pler � Thom", Editions du Seuil, 1984, 170p;

    •  second edition, 1985; [cover] [back]
    • pocket edition, collection "Points Science",1987.
    • Italian translation : "Il calcolo, l'imprevisto" , Edizioni di Comunit�, 1986
    • German translation : "Das Vorhersehbare und das Unvorhersehbare� , Harnack, M�nchen, 1985 [cover] [back]
    • Portuguese translation (Brazil): "O calculo e o imprevisto", Martin Fontes, S�o Paulo, 1986 [cover]
    • English translation : "Mathematics and the unexpected", Chicago University Press, 1988 [cover] [back]
    • Spanish translation: "El calculo, lo imprevisto",  Fondo de cultura economica, Mexico, 1988
    • Finnish translation "Ennakoimattoman matematiikka", Art House, Helsinki, 1990
    • Portuguese translation (Portugal): "A matematica e o imprevisto", Gradiva, Lisbon, 1993
    • Greek translation: "Ta mathematika kai to aprosdoketo", Diaulos, Ath�nes, 1993
    • Chinese translation: "Jisuan churen yiliao", Beijing, 1999

    7."Convexity methods in Hamiltonian mechanics", Springer-Verlag, Ergebnisse der Mathematik und ihrer Grenzgebiete, 3.Folge, Band 19, 1990, 246 p. [cover]

    • see Erratum (corrections) here



    8
    . "Au hasard. La chance, la science et le monde", Editions du Seuil, collection "Science Ouverte", 1991, 200 p;

    • pocket edition, collection "Points Sciences", 2000 [cover] [back]
    • German translation: "Zufall, Gl�ck und Chaos: mathematische Expeditionen", Carl Hanser Verlag, 1993
    • Spanish translation: "Al azar: la suerte, la ciencia y el mundo", Editorial Gedisa, Barcelone, 1993
    • Italian translation: "A caso: la sorte, la scienza e il mondo", Bollati Boringhieri, Turin [cover]  [back]
    • English translation: "The broken dice, and other mathematical tales of chance", Chicago University Press,1993 [cover]  [back]
    • Norwegian translation: "Tilfeldighetens spill" [cover]  [back]
    • Japanese translation [cover]

    9. "Le chaos", Flammarion, collection "Dominos", 1995, 128 p. [cover] [back]

    • Second (augmented) edition, Le Pommier, 
    • Italian translation: "Come funziona il caos", Il Saggiatore, collection "Due Punti", 1997 [cover] [back]
    • Spanish translation: "El chaos" [cover] [back]
    • Greek translation: "To khaos" , edition Traulos-Kostatrake, 1996
    • Corean translation, Younglim Cardinal, 1997
    • Polish translation: "Chaos", Domino, Katowice, 1999
    • German translation: "Chaos", Domino, BLT L�bbe, Bergisch Gladbach, 1999

    10. "Le meilleur des mondes possibles", Seuil, 320p. F�vrier 2000  [cover]  [back]

    • Italian translation: "Il migliore dei mondi possibili", Bollati Boringhieri, collection "Saggi", 2001
    • English translation, "The best of all possible worlds", Chicago University Press, [cover] [back]
    • Finnish translation, "Paras madollisista maailmoista"[cover] [back]
    • Japanese translation, [cover] [back]
    • Chinese translation, [cover], [back]

    11.  "Cat in Numberland", Cricket Books, Carus Publishing [cover]  [back]

    • French translation: "Le Chat au pays des nombres", Editions du Pommier,
    • Korean translation:  [cover]
    • Czech translation

      12.  (with P.A. Chiappori) "The economics and mathematics of aggregation: formal models of groupe behavior", Foundations and Trends in Microeconomics 5 (1-2), 2009 [cover] [back] [full-text]

        13.  "Le syndrome de la grenouille: l'�conomie et le climat", �ditions Odile Jacob, 115 p.  Octobre 2015 [cover] [back]

      14.  (avec Etienne Lecroart) "Le hasard, une approche math�matique", �ditions du Lombard, (La petite B�d�th�que des Savoirs) 72 p. 2016 [cover] [inside]

       15. (avec Jean-Charles Rochet) "Il faut taxer la sp�culation financi�re", Editions Odile Jacob, 238 p. Avril 2020 [cover]
[back]]

        16.  (avec Etienne L�croart), "Urgence climatique: il est encore temps!", Casterman, 120 p. Avril 2021 [pr�sentation]

   

     



      
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LE COURS CLIMAT


Ce cours a �t� cr�� pour les �tudiants de L1 de l'Universit� Paris-Dauphine o� il estobligatoire depuis 2020

"Les crises �cologiques du 21�me si�cle",�dition 2022

Il est expos� sous une forme plus imag�e dans ma BD avec Etienne L�croart:
 
"Urgence climatique: il est encore temps!", Casterman, 120 p. Avril 2021 [pr�sentation]



THE CLIMATE COURSE

This course was designed for first-year  students at the University of Paris-Dauphine, where it is compulsory since 2020:

It is here in a compressed version (6MB) and here in high definition (85 MB)

If you are interested (and you read French) you can find here a trailer for my comics with Etienne L�croart


LECTURES ON MATHEMATICAL MODELS IN THE SOCIAL SCIENCES

I taught this course in Torino in May-June 2022. It is here and the assignments (with corrections) are here: 1,2,3,4,5 with the corrections for 2, 3, 5 and the text of Omelas


TROIS LE�ONS SUR LES STRAT�GIES EX�CUTABLES ET L'INCOH�RENCE TEMPORELLE

Vous trouverez ici la premi�re le�on, ainsi que les articles de Ramsey, Strotz, Laibson et Jouini.
Vous trouverez l� la deuxi�me le�on


AUTOUR DE L'ECONOMIE



2009 Lectures on climate change, le�ons profess�es � Dauphine [pdf]

2011 From the economics of information to a knowledge society (Santiago de Chile, Bicentenario Congreso Nacional) [pdf]

2013 If not us, who ? And if not now, when ? Growth theory and sustainable development (TIGER 2013, Toulouse) [pdf]

2013 Qu'est-ce que le d�veloppement durable (Dauphine, CDD) [pdf]

2013: "Chiffres et mod�les", contribution au livre "Math�matiques et Economie"de la collection "Le Monde est Math�matique" dirig�e par Cedric Villani [pdf]

2015
"Le syndrome de la grenouille: l'�conomie et le climat", �ditions Odile Jacob, 115 p.  Octobre 2015 [cover] [back]
 
2016 Taking climate change seriously (Les Houches) [pdf]

2018 (with F. Mc Isaac) Complexity and emergence in economics (Como) [pdf]

2018 Comment ne pas penser les communs: la th�orie �conomique n�o-classique, Annales des Mines, s�rie Responsabilit� et Environnement, 92,  [ici]

2021, Du bon usage des mod�les math�matiques,
Annales des Mines, s�rie Responsabilit� et Environnement, 101,  [ici]



AUTOUR DE LA FINANCE

2010 Le tournant des math�matiques financi�res, pi�ce en trois actes (Paris, IHP) [pdf]

2016 La finance au temps du r�chauffement (Agence Fran�aise du D�veloppement) [pdf]

2018 (avec Julien Lefournier) L'obligation verte, hom�opathie ou incantation ? XerfiCanal [ici]

2020 (avec Jean-Charles Rochet) "Il faut taxer la sp�culation financi�re", Editions Odile Jacob, 238 p. Avril 2020 [cover][back]]

2021 Quelle finance pour une �conomie durable ?, Annales des Mines, s�rie Responsabilit� et Environnement, 102, [ici]
 

2021 (avec Julien Lefournier) L'obligation verte, la th�orie contre la r�alit�, Working Paper, Chaire Energie et Prosp�rit�, [ici]


MATH�MATIQUES ET MATH�MATICIENS

1989, L'exp�rience math�matique, Etudes, mars 1989, p. 333-345 (pdf)

2004, Hommage � Ren� Thom, Gazette des Math�maticiens, 103 (Suppl�ment), p. 45-49 [pdf]

"L'erreur en math�matiques", Bulletin de l'Association Math�matique du Qu�bec 52 (2012), p,7-11 [pdf]

May 22, 2012, Speech at Akershus Castle for the Abel Prize Ceremony (Newsletter of the EMS 85 (2012) 49 [pdf]

"Poincar� a-t-il exist� ? " MATAPLI 98 (2012) [pdf]

2015 John Forbes Nash, jr. (1928-2015) [pdf] and [pdf]

2020 In memoriam: Louis Nirenberg [pdf]



DAUPHINOIS ET DAUPHINOISES


"Le m�tier de pr�sident d'universit�", Les Amis de l'�cole de Paris, interview du 19 Octobre 1993 [pdf]

2018 (in memoriam)  Genevi�ve Jomier [pdf]

2018 Cinquantenaire de l'Universit� Paris-Dauphine:
                                           Les origines de la recherche � Dauphine [pdf],
                                           Le principe variationnel d'Ekeland [pdf]
                                           L'�conomie math�matique � Dauphine [pdf]



 



Research papers, grouped  by themeS

1- Mathematics

optimization, convex analysis and non-convex duality

Ekeland's variational principle and applications

Critical point theory, calculus of variations, hamiltonian systems, symplectic capacities

2- Economics and finance

finance and MARKEts

collective demand, group behaviour and exterior differential calculus

Hedonic models, cities and optimal transportation

sustainable development, intergenerational equity and time inconsistency


lecture notes

2003 Lectures on optimal transportation [pdf]

2009 Lectures on asymmetry of information in finance [pdf]

2010 Introduction to finance [pdf]

2009 Lectures on climate change [pdf]

2015 "Storers, processors and speculators", master class at the Summer School on Commodity Markets, Florence, July 2015 [pdf]


presentations

2010 Towards the Schr�dinger equation (Euler Institute, Saint Petersburgh) [pdf]

2010 Identifying individual preferences from group behaviour (Paris, Dauphine) [pdf]

2011 Asymmetry of information in finance (Berlin)  [pdf]

2011 Law-invariant risk measures (Zurich) [pdf] 

2012 On the inverse function theorem (Trujillo, Peru) [pdf]

2012 Modelling sustainable development (IHP, Paris, Conference in honor of Sylvain Sorin) [pdf]

2013 Le risque z�ro: de l'analyse scientifique au discours politique [pdf]

2013 How to deal with cheaters: moral hazard in continuous time (Milano, 150th Anniversary of the Politecnico) [pdf]

2012 The inverse function theorem (Lausanne, DacorognaFest) [pdf]

2013 Breaking the dice (conference � l'Association of the Luxemburg Fund Industry) [pdf]

2013 If not us, who ? And if not now, when ? Growth theory and sustainable development (TSE) [pdf]

2014 On the variational principle (Charles University, Prague) [pdf]

2014 Optimal pits and optimal transportation [pdf]

2014 Adverse selection and optimal transportation: a personal history (In memoriam JJ Laffont) [pdf]

2015 The method of characteristics: mean field games for dummies (RISM 2015) [pdf]

2017 (with Guillaume Carlier and Jean-Charles Rochet) Structure des villes [pdf]

2018 On singular perturbation problems for systems of PDEs (Chern Institute, Nankai University) [pdf]

2019 Taking climate change seriously (Les Houches) [pdf]

2019 The role of mistakes in mathematics: an introduction to Spinoza (RIMS, Varese) [pdf]

2022 Pourquoi �tudier le climat dans l'enseignement sup�rieur ? Rentr�e des masters � Lyon 1 le 21 Septembre 2022 [pdf]

2022 Peut-on pr�voir le climat ? Conf�rence pour la F�te de la Science le 23 Octobre 2022 [pdf]

2023 Climate change: transition, bifurcation or catastrophe ? Conf�rence Complexit� � l'UM6P, Marrakech (pdf)

2023 De Ramsey � Thom: l'optimisation en question. Conf�rence � Paris et Amiens (pdf)

2024 La transformation du monde: d�r�glement climatique, perte de biodiversit�, pollution chimique. Conf�rence SLAMM S�te [pdf]     















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