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Onésimo Hernández-Lerma

Onésimo Hernández-Lerma

D-Index & Metrics

Mathematics

D-Index
34
Citations
6899
World Ranking
2866
National Ranking
3

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Onésimo Hernández-Lerma is affiliated with the Instituto Politécnico Nacional in Mexico. Their research primarily falls within the field of Economics, Econometrics, and Finance, with a significant focus on Economics and Econometrics as a subfield. Additional areas of study include Sociology and Political Science, Genetics, Management Science and Operations Research, and Public Health, Environmental and Occupational Health.

The scientist's academic contributions cover various topics, notably Economic Theories and Models, Evolutionary Game Theory and Cooperation, Evolution and Genetic Dynamics, Mathematical and Theoretical Epidemiology and Ecology Models, Game Theory and Applications, Risk and Portfolio Optimization, and Advanced Control Systems Optimization.

Their recent publications include:

  • "A survey of average cost problems in deterministic discrete-time control systems" (2022), Journal of Mathematical Analysis and Applications
  • "Potential difference games and applications" (2021), The Journal of Difference Equations and Applications
  • "Stability of international pollution control games: A potential game approach" (2022), Journal of Dynamics and Games
  • "Adaptive control of diffusion processes with a discounted reward criterion" (2020), Applicationes Mathematicae
  • "Stabilization of capital accumulation games" (2022), Mathematics of Control Signals and Systems

Frequent co-authors working with Onésimo Hernández-Lerma include Saúl Mendoza-Palacios, Leonardo R. Laura-Guarachi, David González-Sánchez, Jewaidu Rilwan, and Poom Kumam.

Their work has been featured in several academic journals, with multiple publications in the Journal of Dynamics and Games. Other common venues include the Journal of Mathematical Analysis and Applications, The Journal of Difference Equations and Applications, Applicationes Mathematicae, and Mathematics of Control Signals and Systems.

In addition to journal articles, Onésimo Hernández-Lerma has published books. These include "Evolutionary Games and the Replicator Dynamics" (2024) through Cambridge University Press and "An Introduction to Optimal Control Theory" (2023) published by Springer Nature.

Onésimo Hernández-Lerma has been recognized as a Fellow of the American Mathematical Society since 2013.

Best Publications

  • Discrete-time Markov control processes

    Onésimo Hernández-Lerma;Jean Bernard Lasserre

  • Further Topics on Discrete-Time Markov Control Processes

    Onésimo Hernández-Lerma;Jean Bernard Lasserre

  • Adaptive Markov control processes

    O. Hernandez-Lerma

  • Continuous-Time Markov Decision Processes

    Xianping Guo;Onésimo Hernández-Lerma

  • Markov chains and invariant probabilities

    Onésimo Hernández-Lerma;Jean Bernard Lasserre

  • Continuous-Time Markov Decision Processes : Theory and Applications

    Xianping Guo;O. Hernández-Lerma

  • Characterizations of Overtaking Optimality for Controlled Diffusion Processes

    Héctor Jasso-Fuentes;Onésimo Hernández-Lerma

  • Approximation Schemes for Infinite Linear Programs

    Onésimo Hernández-Lerma;Jean B. Lasserre

  • Constrained Average Cost Markov Control Processes in Borel Spaces

    Onésimo Hernández-Lerma;Juan González-Hernández;Raquiel R. López-Martínez

  • Average cost Markov control processes with weighted norms: existence of canonical policies

    Evgueni Gordienko;Onésimo Hernández-Lerma

  • Error bounds for rolling horizon policies in discrete-time Markov control processes

    O. Hernandez-Lerma;J.B. Lasserre

  • Minimax Control of Discrete-Time Stochastic Systems

    J. I. González-Trejo;O. Hernández-Lerma;L. F. Hoyos-Reyes

  • A Survey of Recent Results on Continuous-Time Markov Decision Processes

    Xianping Guo;Onésimo Hernández-Lerma;Tomás Prieto-Rumeau;Xi-Ren Cao

  • Convergence analysis of a multiobjective artificial immune system algorithm

    Mario Villalobos-Arias;Mario Villalobos-Arias;Carlos A. Coello Coello;Onésimo Hernández-Lerma

  • Recurrence conditions for Markov decision processes with Borel state space: a survey

    Onésimo Hernández-Lerma;Raúl Montes-De-Oca;Rolando Cavazos-Cadena

  • ZERO-SUM STOCHASTIC GAMES IN BOREL SPACES: AVERAGE PAYOFF CRITERIA ∗

    Onésimo Hernández-Lerma;Jean B. Lasserre

  • Sample-Path Optimality and Variance-Minimization of Average Cost Markov Control Processes

    Onésimo Hernández-Lerma;Oscar Vega-Amaya;Guadalupe Carrasco

  • Constrained Markov control processes in Borel spaces: the discounted case

    Onésimo Hernández-Lerma;Juan González-Hernández

  • THE LINEAR PROGRAMMING APPROACH TO DETERMINISTIC OPTIMAL CONTROL PROBLEMS

    Daniel Hernández-Hernández;Onésimo Hernández-Lerma;Michael Taksar

  • Zero-sum continuous-time Markov games with unbounded transition and discounted payoff rates

    Xianping Guo;Onésimo Hernández-Lerma

  • Controlled Markov Processes

    O. Hernández-Lerma

Frequent Co-Authors

Jean B. Lasserre
Jean B. Lasserre Laboratory for Analysis and Architecture of Systems
Steven I. Marcus
Steven I. Marcus University of Maryland, College Park
Xi-Ren Cao
Xi-Ren Cao Hong Kong University of Science and Technology
Jesús R. Artalejo
Jesús R. Artalejo Complutense University of Madrid

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