The dichotomy spectrum for random dynamical systems and pitchfork bifurcations with additive noise, to appear in Annales de l'Institut Henri Poincaré, Probabilités et Statistiques.
Đỗ Minh Thắng,
Sonja Hannibal,
Arnulf Jentzen,
Non-convergence to global minimizers in data driven supervised deep learning: Adam and stochastic gradient descent optimization provably fail to converge to global minimizers in the training of deep neural networks with ReLU activation,
Journal of Mathematical Analysis and Applications, 564 (2026) 130724