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Random walks on networks with preferential cumulative damage: Generation of bias and aging

Abstract : In this paper, we explore the reduction of functionality in a complex system as a consequence of cumulative random damage and imperfect reparation, a phenomenon modeled as a dynamical process on networks. We analyze the global characteristics of the diffusive movement of random walkers on networks that hop considering the capacity of transport of each link, those links are susceptible to damage that generates bias and aging. We describe the algorithm for the generation of damage and the bias in the transport producing complex eigenvalues of the transition matrix that defines the random walker for different types of graphs, including regular, deterministic, and random networks. The evolution of the asymmetry of the transport is quantified with local quantities that consider the information in the links and non- local quantities associated with the transport on a global scale. Finally, we characterize aging by the finding that systems with greater complexity live longer.
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https://hal-cnrs.archives-ouvertes.fr/hal-03038428
Contributor : Thomas Michelitsch <>
Submitted on : Thursday, December 3, 2020 - 2:45:45 PM
Last modification on : Saturday, April 10, 2021 - 12:09:34 PM
Long-term archiving on: : Thursday, March 4, 2021 - 7:19:20 PM

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arXiv2012.00205.pdf
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  • HAL Id : hal-03038428, version 1
  • ARXIV : 2012.00205

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L Eraso-Hernandez, A Riascos, T Michelitsch, J Wang-Michelitsch. Random walks on networks with preferential cumulative damage: Generation of bias and aging. Journal of Statistical Mechanics: Theory and Experiment, IOP Publishing, In press. ⟨hal-03038428⟩

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