ARTICLES/RESEARCH QUESTIONS/LECTURES
Reasonably complete starting in 1999 ...
2007
Continuity of positive hull mappings with appliciation to semi-infinite
and stochastic programming
2006
Graphical
convergence of sample average random set-valued mappings
Pricing
contingent claims: a computational compatible approach
Deriving
the continuity of maximum-entropy basis functions via Variational
Analysis
Pricing
arbitrary fixed income with short rate trees
George B.
Dantzig (1914-2005)
Stability
of $epsilon$-approximate solutions to convex stochastic programs
2005
Stability
of Equilibrium Points II
- Lecture Slides
(Plenary Address, 25thColoquio Brasiliero, Rio
and at ICCP05, Stanford, August 2005)
Variational convergence of bivariate functions: Motivating applications II
AN
OPTIMIZATION PRIMER
Variational convergence of bivariate functions: Motivating applications I
Equilibrium in a stochastic environment: a `constructive' approach
Variational inequalities and economic equilibrium
Foreword to Special issue of Mathematical Programming: "Variational
Analysis, Optimization and their Applications" (Festschrift for R.T.
Rockafellar's 70th birthday)
2004
Celabrating Dantzig's 90th and Cottle and Veinott's 70th
- Lecture Slides
- George B. Dantzig & Co.
- Dantzig's first four students: Ellis
Johnson, Roger Wets, Richard Cottle and Richard Van Slyke ... 40
years later
Variational
convergence of bivariate functions: Theoretical foundations
Making
Stochastic Programming User-Friendly
- Lecture Slides
(Keynote Address at 10th International Conference
on Stochastic Programming, Tucson 2004)
VARIATIONAL ANALYSIS
Term and volatility structures
Density
estimation: exploiting non-data information
Dealing
with Uncertainty in Decision Making Models
- Lecture Slides
(Tutorial on Stochastic Programming at the 1st
International Conference on Continuous Optimization,
Troy 2004)
Variational Convergence of Bivariate Functions
Stability
of equilibrium points
Statistical Estimation: Data and Non-Data Information
2003
Stochastic optimization for lake eutrophication management
Stability
of 'epsilon'-approximate solutions to convex stochastic programs
EpiCurves
A variational inequality scheme for determining an economic equilibrium of classical or extended type
Non-Cooperative games in a stochastic environment
2002
Serious zero-curves
Strategic
risk management for developing countries: the Columbia Case Study
2001
Continuity properties of Walras equilibrium points
2000
Stochastic programming models: wait-and-see versus here-and-now
Random lsc functions: an Ergodic Theorem
1999
Lipschitz continuity of inf-projections
Random lsc functions: Scalarization
An ergodic theorem for stochastic programming problems
Random
closed sets and random lsc functions: Kolmogorov's extension theorem
1998
Statistical estimation from an optimization viewpoint
Estimating density functions: a constrained maximum likelihood
approach
On an
approach to optimization problems with probabilistic cost
and or constraints
1997
A class of stochastic programs with decision dependent random elements
Stochastic programs with chance constraints:
Generalized convexity and approximation issues
1996
Consistency of minimizers and the SLLN for stochastic programs
Isometries for the Legendre-Fenchel transform
1995
Stability
results for stochastic programs and sensors, allowing for
discontinuous objective functions
Convergence of set-valued mappings: Equi-outer semicontinuity
The minimization of discontinuous functions: mollifier subgradients
1994
Challenges in stochastic programming
Neighborhood effects on belief formation and the distribution of
educations and income
1993
The facets of the polyhedral set determined by the Gale-Hoffman inequalities
1992
A dual strategy for the implementation of the aggregation
principle in decision making under uncertainty
1991
Constrained estimation: consistency and asymptotics
Epi-consistency of convex stochastic programs
Scenarios and policy aggregation in optimization under uncertainty
A
Glivenko-Cantelli type theorem: an application of the convergence theory
of stochastic suprema
Epigraphical processes: laws of large numbers for random lsc functions
1990
The
The topology of the &rho hausdorff distance
1989
The
aggregation principle in scenario analysis and stochastic optimization
Epigraphical Analysis
Stochastic dynamic optimization: Approaches and computation
1988
Approximating the integral of a multifunction
Asymptotic behavior of statistical estimators and of
optimal solutions of stochastic optimization problems
1987
Existence results and finite horizon approximates for infinite
horizon optimization problems
Stochastic programming
Convergence
of probability measures revisited
1985
On the
continuity of the value of a linear program and of related
polyhedral-valued multifunctions
1981
Solving
stochastic programs with simple recourse
1979
On the convergence of sequences of convex sets in
finite dimensions
1974
Stochastic programs with fixed recourse: the equivalent
deterministic program
1969
A
Lipschitzian characterization of convex polyhedra
1967
Continuity of some convex-cone-valued mappings