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Pedro Pérez Aros ● Profesor Titular

Grado Académico
Doctor en Ciencias de la Ingeniería con mención en modelación matemática, Universidad de Chile, Chile
Título(s) Profesional
Ingeniero Civil Matemático, Universidad de Chile.
Descripción
Pedro Pérez Aros estudio ingeniería Civil matemática en la Universidad de Chile. Es en esta institución donde inicia sus estudios acerca del análisis variacional y la optimización. Posteriormente continuo sus estudios doctorales en la misma institución, adentrándose en temas relativos a la optimización estocástica. En enero 2018 obtuvo el grado de Doctor en ciencias de la ingeniería mención modelación matemática.
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Generalized differentiation of probability functions: the case of parameter dependent sets given by intersections of convex sets and their complements
• Wim van Ackooij • Pedro Pérez Aros •Control in probability for SDE model of growth population
• Cristóbal Sebastián Quiñinao Montero • Pedro Pérez Aros • Mauricio Tejo •Generalized Differentiation of Expected-Integral Mappings with Applications to Stochastic Programming, Part~I: Sequential Calculus for Expected-Integral Functionals.
• Boris S. Mordukhovich • Pedro Pérez Aros •Tikhonov-like regularization of dynamical systems associated with nonexpansive operators defined in closed and convex sets
• Pedro Pérez Aros • Emilio José Vilches Gutiérrez •Determination of convex functions via subgradients of minimal norm
• Pedro Pérez Aros • David Sebastián Salas Videla • Emilio José Vilches Gutiérrez •Dynamic probabilistic constraints under continuous random distributions with applications to a hydro-power optimization model
• Tatiana González Grandón • René Henrion • Pedro Pérez Aros •- REVISTA J. Convex Anal.
- ● 2020
MVT, integration, and monotonicity of a generalized subdifferential in locally convex spaces
• Rafael Correa Fontecilla • Abderrahim Hantoute • Pedro Pérez Aros •- REVISTA J. Convex Anal.
- ● 2020
On formulae for the Ioffe geometric subdifferential of supremum function
• Pedro Pérez Aros • David Sebastián Salas Videla • Emilio José Vilches Gutiérrez •New extremal principles with applications to stochastic and semi-infinite programming
• Boris S. Mordukhovich • Pedro Pérez Aros •Gradient Formulae for Nonlinear Probabilistic Constraints with Non-convex Quadratic Forms
• Wim van Ackooij • Pedro Pérez Aros •Subdifferential Calculus Rules for Possibly Nonconvex Integral Functions
• Rafael Correa • Abderrahim Hantoute • Pedro Pérez Aros •Ergodic Approach to Robust Optimization and Infinite Programming Problems
• Pedro Pérez Aros •Necessary and sufficient optimality conditions in DC semi-infinite programming
• Rafael Correa • Marco A. López • Pedro Pérez Aros •Qualification Conditions-Free Characterizations of the $\varepsilon$-Subdifferential of Convex Integral Functions
• Rafael Correa • Abderrahim Hantoute • Pedro Pérez Aros •An Enhanced Baillon-Haddad Theorem for Convex Functions Defined on Convex Sets
• Pedro Pérez Aros • Emilio José Vilches Gutiérrez •- REVISTA J. Convex Anal.
- ● 2019
Weak Compactness of Sublevel Sets in Complete Locally Convex Spaces.
• Pedro Pérez Aros • Lionel Thibault •Characterizations of the subdifferential of convex integral functions under qualification conditions
• Rafael Correa • Abderrahim Hantoute • Pedro Pérez Aros •- REVISTA Optimization
- ● 2019
Generalized gradients for probabilistic/robust (probust) constraints
• Wim van Ackooij • René Henrion • Pedro Pérez Aros •Subdifferential Formulae for the Supremum of an Arbitrary Family of Functions
• Pedro Pérez Aros •Generalized Differentiation of Probability Functions Acting on an Infinite System of Constraints
• Wim van Ackooij • Pedro Pérez Aros •On BrøndstedRockafellars Theorem for convex lower semicontinuous epi-pointed functions in locally convex spaces
• Rafael Correa Fontecilla • Abderrahim Hantoute • Pedro Pérez Aros •Subdifferential characterization of probability functions under Gaussian distribution
• Abderrahim Hantoute • René Henrion • Pedro Pérez Aros •Formulae for the Conjugate and the Subdifferential of the Supremum Function
• Pedro Pérez Aros •On the Klee–Saint Raymond’s Characterization of Convexity
• Rafael Correa • Abderrahim Hantoute • Pedro Pérez Aros •- ● Abril 2020
- ● Marzo 2023
Generalized Differentiation And Variational Analysis Of Probability Functions
Investigador/a Responsable- ● Enero 2020
Stochastic Optimization and Chance Constraints with Applications to Energy (SOCCAE)
Responsable Alterno- ● Abril 2019
- ● Marzo 2022