When the ground ring is a field, the notion of algebraic topological model (AT-model) is a useful tool for computing (co)homology, representative (co)cycles of (co)homology generators and the cup product on cohomology of nD digital images as well as for controlling topological information when the image suffers local changes [6, 7, 9]. In this paper, we formalize the notion of λ-AT-model (λ bei...

Observing critical phases in lattice models is challenging due to the need analyze finite time or size scaling of observables. We study how computational topology technique persistent homology can be used characterize a generalized Aubry-Andr\'e-Harper model. The entropy and mean squared lifetime features obtained using behave similarly conventional measures (Shannon inverse participation ratio...