Ivar Ekeland


CONTACT INFORMATION

VITAE

BOOKS, IN CHRONOLOGICAL ORDER

RESEARCH PAPERS, GROUPED BY THEMES

RESEARCH PAPERS, CHRONOLOGICAL


LECTURE NOTES

RECENT CONFERENCES


Picture of Ivar Ekeland


 

Contact Information

ADDRESS  CEREMADE et Institut de Finance, Université Paris-Dauphine, 75775 Paris CEDEX 16, France

E-MAIL   ekeland at math.ubc.ca,  ekeland at ceremade.dauphine.fr




BOOKS, IN CHRONOLOGICAL ORDER

    1. " Théorie des jeux et introduction à l'économie mathématique", Presses Universitaires de France, 110p


    2 (with R. Temam) "Analyse convexe et problèmes 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'économie mathématique", 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'imprévu. Les figures du temps de Képler à 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 Comunità, 1986
    • German translation : "Das Vorhersehbare und das Unvorhersehbare“ , Harnack, München, 1985 [cover] [back]
    • Portuguese translation (Brazil): "O calculo e o imprevisto", Martin Fontes, São 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, Athènes, 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, Glück 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 Lübbe, Bergisch Gladbach, 1999

    10. "Le meilleur des mondes possibles", Seuil, 320p. février 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]

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

    • French translation: "Le Chat au pays des nombres", Editions du Pommier, 

      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]


      
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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 risk

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 climate change [pdf]

2009 Lectures on asymmetry of information in finance [pdf]

2010 Introduction to finance [pdf]



Recent conferences

2007 The idea of optimization (public lecture at ICIAM 2007) [pdf]  (note that the first page is blank) [video]

2010 Le tournant des mathématiques financières, pièce en trois actes (Paris, IHP) [pdf]

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

2011 Sommes-nous rationnels ? (Lille) [pdf]

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

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

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

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


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