2 papers
math.AP2025
A geometric approximation of non-local interface and boundary conditions
Pavel Exner, Andrii Khrabustovskyi
We analyze an approximation of a Laplacian subject to non-local interface conditions of a -type by Neumann Laplacians on a family of Riemannian manifolds with a sieve-like str…
math.SP2024
Quantum lattice transport along an infinitely extended perturbation
Marzieh Baradaran, Pavel Exner, Andrii Khrabustovskyi
We consider a periodic quantum graph in the form of a rectangular lattice with the -coupling of strength in the vertices perturbed by changing the latter at an infinite st…