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• W2021147260 endingPage "104001" @default.
• W2021147260 startingPage "104001" @default.
• W2021147260 abstract "The return probability P 0 ( t ) of random walkers is investigated numerically for several scale-free fractal networks. Our results show that P 0 ( t ) is proportional to t - d s /2 with the non-integer spectral dimension d s as in the case of non-scale free fractal networks. We also study how the diffusion process is affected by the structural crossover from a fractal to a small-world architecture in a network near the percolation transition. It is elucidated that the corresponding dynamical crossover is scaled only by the unique characteristic time t ξ regardless of whether the network is scale free or not. In addition, the scaling relation d s = 2 D f / d w is found to be valid even for scale-free fractal networks, where D f and d w are the fractal and the walk dimensions. These results suggest that qualitative properties of P 0 ( t ) are irrelevant to the scale-free nature of networks." @default.
• W2021147260 created "2016-06-24" @default.
• W2021147260 creator A5030633107 @default.
• W2021147260 creator A5054012154 @default.
• W2021147260 date "2011-10-15" @default.
• W2021147260 modified "2023-10-15" @default.
• W2021147260 title "Dynamical Crossover in Complex Networks near the Percolation Transition" @default.
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• W2021147260 doi "https://doi.org/10.1143/jpsj.80.104001" @default.
• W2021147260 hasPublicationYear "2011" @default.
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