5 papers
Homogenization and operator estimates for Steklov problems in perforated domains
Andrii Khrabustovskyi, Jari Taskinen
Let the set be obtained from the bounded domain by removing a family of -periodically distributed identical balls. In one consid…
Periodic discrete graphs with prescribed spectrum
Andrii Khrabustovskyi, Anna Muranova
We construct a periodic weighted graph whose discrete Laplacian has a spectrum with precisely gaps. Moreover, we show that by an appropriate choice of the weights, the endpoint…
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…
Quasinormal Ringing and Shadows of Black Holes and Wormholes in Dark Matter-Inspired Weyl Gravity
Roman A. Konoplya, Andrii Khrabustovskyi, Jan KÅÞ +1
Weyl gravity naturally generates effective dark matter and cosmological constant terms as integration constants, eliminating the need to explicitly introduce them into the theory.…
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…