The Effective Generalized Moment Problem
Lucas Gamertsfelder, Bernard Mourrain. (2024). "The Effective Generalized Moment Problem." ArXiv.
CV
Education
- Ph.D in Optimal Control Theory, Macquarie University, 2022
- M.S. in Geodynamic Modelling, Macquarie University, 2017
- B.S. in Mathematics, Flinders University, 2016
Work experience
- March 2022 - October 2023: Quantitative Analyst
- Deloitte Touche Tohmatsu LTD
- Duties: exploring and maintaining financial tools
- July 2019 - March 2022: Casual Academic
- Macquarie University
- Duties: tutoring and marking
Publications
On convergence of occupational measures sets of a discrete-time stochastic control system, with applications to averaging of hybrid systems
Lucas Gamertsfelder. (2024). "On convergence of occupational measures sets of a discrete-time stochastic control system, with applications to averaging of hybrid systems." International Journal of Control.
LP based upper and lower bounds for Cesaro and Abel limits of the optimal values in problems of control of stochastic discrete time systems
Konstantin Avrachenkov, Vladimir Gaitsgory, Lucas Gamertsfelder. (2022). "LP based upper and lower bounds for Cesaro and Abel limits of the optimal values in problems of control of stochastic discrete time systems." Journal of Mathematical Analysis and Applications. 512(1).
LP Based Bounds for Cesaro and Abel Limits of the Optimal Values in Non-ergodic Stochastic Systems
Konstantin Avrachenkov, Vladimir Gaitsgory, Lucas Gamertsfelder. (2021). "LP Based Bounds for Cesaro and Abel Limits of the Optimal Values in Non-ergodic Stochastic Systems." 2021 European Control Conference (ECC). 1(3).
Talks
Moment-SoS relaxations of the generalized moment problem and applications
Talk at AROMATH Annual Workshop 2024,
Convergence of occupational measures sets of discrete-time stochastic control systems, with applications to averaging of hybrid systems
Talk at Inria Sophia Antipolis, NEO Team Workshop,
LP Based Bounds for Cesaro and Abel Limits of the Optimal Values in Non-Ergodic Stochastic Systems
Talk at European Control Conference,
LP Based Bounds for Cesaro and Abel Limits of the Optimal Values in Non-Ergodic Stochastic Systems
Talk at 64th Annual AustMS Meeting,