19 citations · 19 across the 3 of their papers we have counts for
4 papers
Constraints on pure point diffraction on aperiodic point patterns of finite local complexity
Pavel Kalugin, André Katz
It is shown that the partial amplitudes of the pure point part of the diffraction spectrum of an aperiodic Delone point pattern of finite local complexity are linked by a set of li…
Robust matching rules for real quasicrystals
Pavel Kalugin, André Katz
We consider the problem of extraction and validation of matching rules, directly from the phased diffraction data of a quasicrystal, and propose an algorithmic procedure to produce…
Robust minimal matching rules for quasicrystals
Pavel Kalugin, André Katz
We propose a unified framework for dealing with matching rules of quasiperiodic patterns, relevant for both tiling models and real world quasicrystals. The approach is intended for…
Electrons in deterministic quasicrystalline potentials and hidden conserved quantities
Pavel Kalugin, André Katz
We propose an ansatz for the wave function of a non-interacting quantum particle in a deterministic quasicrystalline potential. It is applicable to both continuous and discrete mod…