3 papers
math-ph2026
Arithmetic triangular structures in the transfer-matrix of finite Kronig-Penney models
Lidia Aceto, Pietro Antonio Grassi, Helmuth Robert Malonek
This work provides a complete analytical characterization of the transfer- matrix structure associated with the finite Kronig-Penney model consisting of one-dimensional arrays of D…
math-ph2026
Clifford-Appell formulation of a Dirac-type Kronig-Penney model in condensed matter physics
L. Aceto, P. A. Grassi, H. Malonek
We investigate the stationary Dirac equation associated with a generalized Kronig-Penney model in (N+1)-dimensional Clifford analysis. Away from the interaction sites, the free Dir…
math.NA2023
A charge-preserving method for solving graph neural diffusion networks
Lidia Aceto, Pietro Antonio Grassi
The aim of this paper is to give a systematic mathematical interpretation of the diffusion problem on which Graph Neural Networks (GNNs) models are based. The starting point of our…