3 papers
econ.EM2025
Bootstrap Diagnostic Tests
Giuseppe Cavaliere, Luca Fanelli, Iliyan Georgiev
Violation of the assumptions underlying classical (Gaussian) limit theory often yields unreliable statistical inference. This paper shows that the bootstrap can detect such violati…
math.AP2025
Error bounds for Physics Informed Neural Networks in Nonlinear Schrödinger equations placed on unbounded domains
Miguel Ã. Alejo, Lucrezia Cossetti, Luca Fanelli +2
We consider the subcritical nonlinear Schrödinger (NLS) in dimension one posed on the unbounded real line. Several previous works have considered the deep neural network approxima…
math.AP2024
Intertwining operators beyond the Stark Effect
Luca Fanelli, Xiaoyan Su, Ying Wang +2
The main mathematical manifestation of the Stark effect in quantum mechanics is the shift and the formation of clusters of eigenvalues when a spherical Hamiltonian is perturbed by…