Ivar Ekeland
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French mathematician
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Ivar Ekelandmathematics Degrees
Mathematics
#510
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#994
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Applied Mathematics
#95
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#108
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Measure Theory
#457
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#653
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Mathematics
Ivar Ekeland's Degrees
- PhD Mathematics Paris-Saclay University
Why Is Ivar Ekeland Influential?
(Suggest an Edit or Addition)According to Wikipedia, Ivar I. Ekeland is a French mathematician of Norwegian descent. Ekeland has written influential monographs and textbooks on nonlinear functional analysis, the calculus of variations, and mathematical economics, as well as popular books on mathematics, which have been published in French, English, and other languages. Ekeland is known as the author of Ekeland's variational principle and for his use of the Shapley–Folkman lemma in optimization theory. He has contributed to the periodic solutions of Hamiltonian systems and particularly to the theory of Kreĭn indices for linear systems . Ekeland helped to inspire the discussion of chaos theory in Michael Crichton's 1990 novel Jurassic Park.
Ivar Ekeland's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Convex analysis and variational problems (1976) (4574)
- Applied Nonlinear Analysis (1984) (2278)
- On the variational principle (1974) (2189)
- Nonconvex minimization problems (1979) (697)
- Identification and Estimation of Hedonic Models (2003) (663)
- Convexity Methods In Hamiltonian Mechanics (1990) (617)
- Sustainability of deep-sea fisheries (2012) (302)
- A variational approach to homolinic orbits in Hamiltonian systems (1990) (298)
- Symplectic topology and Hamiltonian dynamics (1989) (267)
- Investment and consumption without commitment (2007) (254)
- Review: C. Castaing and M. Valadier, Convex analysis and measurable multifunctions (1978) (215)
- Identifying Hedonic Models (2002) (178)
- Being serious about non-commitment: subgame perfect equilibrium in continuous time (2006) (175)
- Hamiltonian trajectories having prescribed minimal period (1980) (167)
- Infinite-Dimensional Optimization And Convexity (1983) (167)
- The micro economics of group behavior: General characterization (2006) (163)
- Selected new aspects of the calculus of variations in the large (2002) (157)
- On the number of periodic trajectories for a Hamiltonian flow on a convex energy surface (1980) (151)
- Time-Consistent Portfolio Management (2010) (131)
- The Microeconomics of Efficient Group Behavior: Identification (2009) (130)
- Generic Fréchet-differentiability and perturbed optimization problems in Banach spaces (1976) (128)
- Matching for teams (2010) (126)
- Convex Hamiltonian energy surfaces and their periodic trajectories (1987) (122)
- The golden rule when preferences are time inconsistent (2010) (121)
- COMONOTONIC MEASURES OF MULTIVARIATE RISKS (2009) (104)
- Periodic solutions with prescribed minimal period for convex autonomous hamiltonian systems (1985) (96)
- Syplectic topology and Hamiltonian dynamics II (1990) (95)
- A theory of bond portfolios (2003) (95)
- On the Malliavin approach to Monte Carlo approximation of conditional expectations (2004) (92)
- Estimates of the Duality Gap in Nonconvex Optimization (1976) (92)
- A Morse Theory for Hamiltonian Systems (1984) (87)
- Mathematics And The Unexpected (1996) (84)
- Existence, uniqueness and efficiency of equilibrium in hedonic markets with multidimensional types (2010) (83)
- Transversality Conditions for Some Infinite Horizon Discrete Time Optimization Problems (1986) (77)
- Periodic solutions of Hamiltonian equations and a theorem of P. Rabinowitz (1979) (70)
- An Inverse Function Theorem in Frechet Spaces (2010) (69)
- Symmetry breaking in Hamiltonian systems (1987) (68)
- Aggregation and market demand: An exterior differential calculus viewpoint (1999) (58)
- Paris-Princeton Lectures on Mathematical Finance 2002 (2003) (56)
- Methods of Nonconvex Analysis (1990) (56)
- Legendre Duality in Nonconvex Optimization and Calculus of Variations (1977) (54)
- Subharmonics for convex nonautonomous Hamiltonian systems (1987) (50)
- An optimal matching problem (2003) (49)
- Testable Implications of General Equilibrium Theory: A Differentiable Approach (2002) (43)
- The Structure of Cities (2004) (40)
- The Hopf-Rinow theorem in infinite dimension (1978) (40)
- Equilibrium structure of a bidimensional asymmetric city (2007) (40)
- Optimal transportation and the falsifiability of incompletely specified economic models (2010) (36)
- Law invariant risk measures on L∞ (ℝd) (2011) (36)
- The Identification of Preferences from Equilibrium Prices under Uncertainty (2000) (36)
- Two symplectic fixed-point theorems with applications to Hamiltonian dynamics (1989) (33)
- Equilibrium policies when preferences are time inconsistent (2008) (32)
- Sur le contr?le optimal de syst?mes gouvern?s par des equations elliptiques (1972) (28)
- An algorithm for computing solutions of variational problems with global convexity constraints (2010) (27)
- Notes on optimal transportation (2010) (27)
- Nonlinear functional analysis and applications to differential equations : proceedings of the second School ICTP, Trieste, Italy, 21 April-9 May 1997 (1998) (27)
- Resource conservation across generations in a Ramsey–Chichilnisky model (2016) (24)
- Some variational problems arising from mathematical economics (1988) (23)
- Symplectic Topology and Hamiitonian Dynamics II (1990) (22)
- The Economics and Mathematics of Aggregation: Formal Models of Efficient Group Behavior (2009) (22)
- Multiple Solutions for a Classical Problem in the Calculus of Variations (1996) (22)
- Hedging pressure and speculation in commodity markets (2018) (22)
- The broken dice, and other mathematical tales of chance (1993) (22)
- A perturbation theory near convex Hamiltonian systems (1983) (21)
- Optimal derivatives design for mean–variance agents under adverse selection (2007) (21)
- Equilibrium Resource Management with Altruistic Overlapping Generations (2013) (20)
- The housing problem and revealed preference theory: duality and an application (2012) (19)
- Representation of set-valued mappings (1971) (19)
- A Convex Darboux Theorem (2002) (19)
- Individual excess demands (2004) (18)
- A new class of problems in the calculus of variations (2013) (17)
- The identification of preferences from equilibrium prices (2000) (16)
- Disaggregation of excess demand functions in incomplete markets 1 The authors wish to thank Andreu M (1999) (15)
- An implicit function theorem for non-smooth maps between Fréchet spaces (2015) (14)
- The Micro Economics of Group Behavior : Identi fi cation ∗ (2005) (14)
- Optimal pits and optimal transportation (2015) (14)
- Duality in Non Convex Variational Problems (1983) (14)
- An inverse problem in the economic theory of demand (2006) (13)
- New Developments in Aggregation Economics (2011) (13)
- An Adverse Selection Approach to Power Pricing (2017) (13)
- The Best of All Possible Worlds: Mathematics and Destiny (2006) (13)
- Second-Order Evolution Equations Associated with Convex Hamiltonians(1) (1980) (12)
- From Frank Ramsey to René Thom: A classical problem in the calculus of variationsleading to an implicit differential equation (2010) (11)
- Periodic solutions of elliptic type for strongly nonlinear Hamiltonian systems (1995) (11)
- The ε-variational principle revisited (1990) (11)
- A SADDLE-POINT THEOREM (1980) (10)
- Journal of Convex Analysis (2012) (10)
- Non-Convex Duality (2004) (10)
- Optimal transportation and the structure of cities (2003) (9)
- Hamiltonian systems with elliptic periodic orbits (1990) (9)
- Convex Hamiltonian Systems (1990) (8)
- Index estimates and critical points of functionals not satisfying Palais-Smale (1990) (8)
- Response to Rogalski (2010) (8)
- Speculation in commodity futures markets : A simple equilibrium model ∗ (2015) (8)
- Some lemmas about dynamical systems. (1983) (8)
- 10. Relaxation of Non-Convex Variational Problems (II) (1999) (8)
- Advances in Hamiltonian Systems (1983) (8)
- Equilibrium management of fisheries with altruistic overlapping generations (2011) (7)
- On a Non-Standard Stochastic Control Problem (2008) (7)
- Two results in convex analysis (1986) (7)
- Z 2-equivariant Ljusternik-Schnirelman theory for non-even functionals (1998) (7)
- Material SUPPLEMENT TO “ THE MICRO ECONOMICS OF EFFICIENT GROUP BEHAVIOR : IDENTIFICATION ” : A PARAMETRIC (2009) (7)
- Periodic solutions of a class of Hamiltonian systems with singularities (1990) (6)
- A surjection theorem for maps with singular perturbation and loss of derivatives (2018) (6)
- Stability from Index Estimates for Periodic Solutions of Lagrangian Systems (1994) (5)
- Equilibrium: In the balance (2002) (5)
- Exterior differential calculus and applications to economic theory (2015) (5)
- Characterizing Group Behavior ∗ (2005) (5)
- Corrigendum to 'Disaggregation of excess demand functions in incomplete markets' (2000) (5)
- Existence, uniqueness and efficiency of equilibrium in hedonic markets with multidimenstional types (2008) (4)
- Exterior Differential Calculus and Aggregation Theory: A Presentation and Some New Results (1996) (4)
- Hamilton-Jacobi on the symplectic group (2017) (4)
- Forced Oscillations of Nonlinear Hamiltonian Systems, II. (1979) (4)
- How to Build Stable Relationships Between People Who Lie and Cheat (2014) (4)
- A simple equilibrium model for a commodity market with spot trades and futures contracts (2013) (4)
- Local disaggregation of demand and excess demand functions: a new question (1999) (4)
- Hedging pressure and speculation in commodity futures markets (2018) (3)
- OPTIMAL TRANSPORT AND THE GEOMETRY OF L 1 (R d ) (2014) (3)
- A system of inequalities arising in mathematical economics and connected with the Monge-Kantorovich problem (2002) (3)
- Optimal Bond Portfolios (2005) (3)
- A surjection theorem for singular perturbations with loss of derivatives (2019) (3)
- From Ramsey to Thom : a classical problem in the calculus of variations leading to an implicit di ¤ erential equation (2010) (3)
- Applying exterior differential calculus to economics: a presentation and some new results (2004) (3)
- Dynamic choices of hyperbolic consumers: the continuous time case (2006) (3)
- Some applications of the Cartan-Kähler theorem to economic theory (2005) (3)
- Obituary: Jean Leray (1906-98) (1999) (3)
- Obituary: René Thom (1923–2002) (2002) (3)
- Minimax results of Lusternik-Schnirelman type and applications : part 2 of the proceedings of the NATO ASI "Variational Methods in Nonlinear Problems" (1989) (3)
- PARETO INDIVISIBLE ALLOCATIONS, REVEALED PREFERENCE AND DUALITY (2011) (2)
- 1. Convex Functions (1999) (2)
- PARETO INDIVISIBLE ALLOCATIONS, REVEALED PREFERENCE AND DUALITY (2011) (2)
- GLOBAL AND LOCAL INVARIANTS FOR CONVEX ENERGY SURFACES AND THEIR PERIODIC TRAJECTORIES: A SURVEY (1987) (2)
- The Micro Economics of E ffi cient Group Behavior : Identi fi cation ∗ (2006) (2)
- Long-term policy-making (2008) (2)
- Hedging pressure and speculation in commodity markets (2018) (2)
- Equilibrium in quality markets, beyond the transferable case (2019) (2)
- Dual variational methods in non-convex optimization and differential equations (1983) (2)
- PERPETUAL AMERICAN POWER PUT OPTIONS WITH NON-DIVIDEND YIELD IN THE DOMAIN OF MELLIN TRANSFORMS (2019) (2)
- Approximate Minimization of Noncovex Integral Functionals (abstract) (1975) (2)
- Mathematics: What you eat is how many you are (1997) (2)
- Linear Hamiltonian Systems (1990) (2)
- On the Euler–Lagrange Equation in Calculus of Variations (2018) (2)
- Discounting the Future: the Case of Climate Change (2010) (2)
- The ocean as a global system (2013) (2)
- Regularity in an Unusual Variational Problem (2005) (2)
- Perturbation results for a class of singular Hamiltonian systems (1989) (2)
- Some General Properties of Non-Cooperative Games (1975) (1)
- Game theory: Agreeing on strategies (1999) (1)
- A "generic", (general) Factor Price Equalisation Theorem (2003) (1)
- Fisheries Management and Intergenerational Equity (2009) (1)
- Morse Theory and Existence of Periodic Solutions of Elliptic Type (1990) (1)
- A duality theory for some non-convex functions of matrices (2003) (1)
- Local disaggregation of negative demand and excess demand functions (2007) (1)
- Some variational methods arising from mathematical economics (1988) (1)
- A new class of problems in the calculus of variations (2013) (1)
- SOME GROWTH ANALYSIS OF ENTIRE FUNCTIONS OF SEVERAL VARIABLES ON THE BASIS OF THEIR (p, q)-TH RELATIVE GOL’DBERG ORDER AND (p, q)-TH RELATIVE GOL’DBERG TYPE (2019) (1)
- Low-Cost Highly-Efficient Fault Tolerant Processor Design for Mitigating the Reliability Issues in Nanometric Technologies (2009) (1)
- Equilibrium relations between the spot and futures markets for commodities: an infinite horizon model (2016) (1)
- BOYD ANDWONG'S FIXED POINT THEOREM IN METRIC SPACES ENDOWEDWITH A GRAPH (2017) (0)
- Louis Nirenberg (1925–2020) (2021) (0)
- Optimal Exploration of an Exhaustible Resource with Stochastic Discoveries (2022) (0)
- 4. Applications of Duality to the Calculus of Variations (I) (1999) (0)
- The housing problem and revealed preference theory: duality and an application (2012) (0)
- Hamiltonian Mechanics2 (2001) (0)
- Fixed-Energy Problems (1990) (0)
- Economic growth and sustainable development: how should we discount the future? (2012) (0)
- L IONS Index estimates and critical points of functionals not satisfying (2019) (0)
- The identification of preferences from equilibrium prices 1 2 (2000) (0)
- Optimal Exploration and Price Paths of a Non-renewable Commodity with Stochastic Discoveries (2022) (0)
- How to Build Stable Relationships Between People Who Lie and Cheat (2014) (0)
- Equilibrium in quality markets, beyond the transferable case (2018) (0)
- Sustainable …sheries management (2011) (0)
- Sustainable Fisheries Management (2020) (0)
- 2. Minimization of Convex Functions and Variational Inequalities (1999) (0)
- 6. Duality by the Minimax Theorem (1999) (0)
- Resource conservation across generations in a Ramsey–Chichilnisky model (2016) (0)
- Mathematics: The big match (1998) (0)
- Testable consequences of economic theoryRID=""ID=""This is the written version of a conference delivered at the University of Calabria for the 1999 meeting of AMASES. The author is grateful to AMASES for their invitation. (2000) (0)
- On the Euler–Lagrange Equation in Calculus of Variations (2018) (0)
- Inverse function theorems (2011) (0)
- Testable consequences of economic theory (2000) (0)
- CUDARE Working Papers (2011) (0)
- The Mathematics of Informational Asymmetry (2002) (0)
- Fragmentation and Wage Inequality: Insights from a Simple Model (2017) (0)
- IDENTIFYING HEDONIC MODELS Ivar Ekeland (2002) (0)
- 1. Nonlinear Vibrations. 2. Viscosity Solutions and Applications. 3. Wavelets and Applications. 4. Variational Methods for Image Segmentation (1992) (0)
- Mathematics: How to melt if you must (1998) (0)
- 7. Other Applications of Duality (1999) (0)
- Incomplete theorems (1997) (0)
- Variational Methods: Proceedings of a Conference Paris, June 1988 (2012) (0)
- Reconstructing the Surface Mesh Representation for Single Neuron (2022) (0)
- Vibrations, Viscosity, Wavelets and Image Segmentation (1990) (0)
- Mathematics: Nonlinear modes of vibration (1998) (0)
- Mathematics: Curves and numbers (2000) (0)
- 100 and 50 years ago (1998) (0)
- A Numerical Approach to the Estimation of Solutions of some Variational Problems with Convexity Constraints (2008) (0)
- Green bond: the emperor wears no clothes (0)
- Restrictions and identification in a multidimensional risk-sharing problem (2014) (0)
- The geometry of global production and factor price equalisation (2010) (0)
- Fixed-Period Problems: The Superlinear Case (1990) (0)
- 8. Existence of Solutions for Variational Problems (1999) (0)
- Comonotonic measures of multivariates risks (2017) (0)
- Viterbo’s Proof of Weinstein’s Conjecture in R 2n (1987) (0)
- Duality in Nonconvex Optimization and Calculus of Variations. (1976) (0)
- Speculation in commodity derivatives markets: A simple equilibrium model ∗ (2013) (0)
- 3. Duality in Convex Optimization (1999) (0)
- 5. Applications of Duality to the Calculus of Variations (II) Minimal Hypersurface Problems (1999) (0)
- Estimates of the duality gap of non-convex optimization problems (1975) (0)
- Mathematical Techniques of Optimization, Control and Decision (1981) (0)
- Mathematics: Counting up to four (1999) (0)
- Ekeland sequences compact in L (2016) (0)
- Note de la Rédaction (1986) (0)
- The joint dynamics of spot and futures commodity prices Les Cahiers de la Chaire / N°79 (2019) (0)
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