Smeared phase transitions in percolation on real complex networks Laurent H´ebert-Dufresne1, 2 and Antoine Allard2 1 Department of Computer Science and Vermont Complex Systems Center, University of Vermont, Burlington VT 2 D´epartement de Physique, de...
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Smeared phase transitions in percolation on real complex networks Laurent H´ebert-Dufresne1, 2 and Antoine Allard2 1 Department of Computer Science and Vermont Complex Systems Center, University of Vermont, Burlington VT 2 D´epartement de Physique, de G´enie Physique, et d’Optique, Universit´e Laval, Qu´ebec (Qu´ebec), Canada G1V 0A6 (Dated: October 2, 2018) Percolation on complex networks is used both as a model for dynamics on networks, such as network robustness or epidemic spreading, and as a benchmark for our models of networks, where our ability to predict percolation measures our ability to describe the networks themselves. In many applications, correctly identifying the phase transition of percolation on real-world networks is of critical importance. Unfortunately, this phase transition is obfuscated by the finite size of real sys- arXiv:1810.00735v1 [physics.soc-ph] 1 Oct 2018 tems, making it hard to distinguish finite size effects from the inaccuracy of a given approach that
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