A new integrable lattice hierarchy associated with a discrete 3 x 3 matrix spectral problem: N-fold Darboux transformation and explicit solutions Axion electrodynamics and dark matter fingerprints in the terrestrial magnetic and electric fields New passivity criteria for fuzzy BAM neural networks with Markovian jumping parameters and time-varying delays Bell polynomial approach to associated Camassa-Holm equation Markov evolutions and hierarchical equations in the continuum. Multicom-ponent systems