3 papers
math.AP2026
On a PDE model for Learning in Stochastic Market Entry Games
Esther Bou Dagher, Misha Perepelitsa, Ewelina Zatorska
We study a continuum model for stochastic reinforcement learning in repeated market entry games. Starting from a discrete-time microscopic learning rule, we derive a Fokker--Planck…
math.FA2024
Higher order coercive inequalities on nilpotent Lie groups
Esther Bou Dagher, Yifu Wang, Boguslaw Zegarlinski
In this work, we study regularity problems of certain Markov generators, which naturally appear in the context of analysis in functional spaces associated to probability measures o…
math.AP2024
Interpolation inequalities on the sphere and phase transition: rigidity, symmetry and symmetry breaking
Esther Bou Dagher, Jean Dolbeault
This paper is devoted to the study of phase transitions associated to a large family of Gagliardo-Nirenberg-Sobolev interpolation inequalities on the sphere depending on one parame…