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“From point patterns to networks: to what extent does the Delaunay triangulation reproduce key spatial and density information?” Published in Journal of Complex Networks

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Read the full paper: here Link to the journal: here To be used as an analysis tool, it is important that a spatial network’s construction algorithm reproduces the structural properties of the original physical embedding. One popular method for converting a two-dimensional (2D) point pattern into a spatial network is the Delaunay triangulation. Here, we … Continue Reading “From point patterns to networks: to what extent does the Delaunay triangulation reproduce key spatial and density information?” Published in Journal of Complex Networks

“Quantifying when hyperuniformity of a many-particle system leads to uniformity across length scales” Published in Physical Review E

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Read the full paper: here Link to the journal: here Hyperuniform systems are distinguished by an unusually strong suppression of large-scale density fluctuations and, consequently, display a high degree of uniformity at the largest length scales. In some cases, however, enhanced uniformity is expected to be present even at intermediate and, possibly, down to small … Continue Reading “Quantifying when hyperuniformity of a many-particle system leads to uniformity across length scales” Published in Physical Review E

“Evolution of various initial many-particle configurations to disordered stealthy hyperuniform ground states” Published in Physical Review E

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Read the full paper: here Link to the journal: here Systems of particles interacting via stealthy potentials, a family of soft, long-ranged, isotropic pair potentials, possess infinitely degenerate disordered hyperuniform classical ground states of fundamental and practical interest, highlighted by their novel optical and mechanical properties. The configurational dimensionality of the ground-state manifold depends on … Continue Reading “Evolution of various initial many-particle configurations to disordered stealthy hyperuniform ground states” Published in Physical Review E