133 citations · 225 across the 8 of their papers we have counts for
10 papers
An Extensible Julia Toolkit for Symmetry-Aware Dual Space Phasing in Arbitrary Dimensions
Pavel Kalugin
We present an open-source Julia-based software toolkit for solving the phase problem using dual-space iterative algorithms. The toolkit is specifically designed for aperiodic cryst…
A higher-dimensional geometrical approach for the classification of 2D square-triangle-rhombus tilings
Marianne Imperor-Clerc, Pavel Kalugin, Sebastian Schenk +2
Square-triangle-rhombus () tilings are encountered in various self-organized multi-component systems. They exhibit a rich structural diversity, encompassing both per…
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…
Critical eigenstates and their properties in one and two dimensional quasicrystals
Nicolas Macé, Anuradha Jagannathan, Pavel Kalugin +2
We present exact solutions for some eigenstates of hopping models on one and two dimensional quasiperiodic tilings and show that they are "critical" states, by explicitly computing…