Explores the Eigenstate Thermalization Hypothesis in quantum systems, emphasizing the random matrix theory and the behavior of observables in thermal equilibrium.
Explores rigorous upper and lower bounds for isotropic phase composites and their microstructure arrangement, focusing on laminated plates and stress-strain relationships.
Explores the consistency and asymptotic properties of the Maximum Likelihood Estimator, including challenges in proving its consistency and constructing MLE-like estimators.