31 citations · 33 across the 11 of their papers we have counts for
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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 stra…
math.AP2024
Homogenization of the Dirac operator with position-dependent mass
Andrii Khrabustovskyi, Vladimir Lotoreichik
We address the homogenization of the two-dimensional Dirac operator with position-dependent mass. The mass is piecewise constant and supported on small pairwise disjoint inclusions…
math.AP2024
The Neumann sieve problem revisited
Andrii Khrabustovskyi
Let be a domain, be a hyperplane intersecting it. Let , and , where ("si…