Public Defense of a Doctoral Dissertation in Mathematical Sciences - Alexandru Caliman
JuryProf. Timoteo CARLETTI (UNamur), ChairProf. Anne-Sophie LIBERT (UNamur), secretaryProf. Benoît FRENAY (UNamur)Prof. Ugo LOCATELLI (University of Rome Tor Vergata)Prof. Konstantin BATYGIN (California Institute of Technology)Prof. Adrien LELEU (University of Geneva)AbstractThe growing number of extrasolar systems detected over the past three decades has made it necessary to develop fast and reliable methods for studying the long-term stability of planetary systems. In this work, we address the complex problem of the stability of compact three-planet systems—in which resonant and chaotic behaviors are intrinsically linked—using chaos indicators and machine learning. In the first part, we design four (variational and non-variational) chaos indicators and test their performance on a synthetic dataset. In the second part, we examine the predictive power of the chaos indicators when combined with different machine learning strategies. Finally, we apply these methods to a synthetic population generated by the Bern formation model, providing results on the long-term behavior and dynamical characterization of the multiple-planet systems in this population. Our analysis highlights the effectiveness of the dynamical tools developed here for assessing the stability of near-resonant systems and paves the way for their use in future space missions.
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Our researchers in the World's Top 2% Scientists list
Stanford University has published a prestigious ranking that highlights the most influential researchers in a wide range of scientific fields. The list, based on bibliographic criteria, aims to provide a standardized means of identifying the world's scientific leaders. It is one criterion among others for assessing the quality of scientific research. Twelve researchers from the University of Namur are among them!
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An exploratory mission to forge ties with Senegal
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Research conducted in collaboration with UNamur draws inspiration from bees to help swarms of robots make better decisions
How can a group of robots be enabled to make the right decision, even when some of the information is incorrect? An international team, including Timoteo Carletti, director of the Department of Mathematics at UNamur and a member of the naXys Institute, drew inspiration from bees. Published in *Nature Communications*, their research could help make swarms of robots more reliable and autonomous.
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