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Dynamics of interacting information waves in networks.

A Mirshahvalad1, A V Esquivel1, L Lizana1

  • 1Integrated Science Lab, Department of Physics, Umeå University, Umeå, Sweden.

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|March 4, 2014
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Interacting information waves, based on novelty, lead to faster spread and selection, causing information access to decay with distance. This decay rate depends on network structure, following a power-law distribution.

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Area of Science:

  • Network Science
  • Information Dynamics
  • Complex Systems

Background:

  • Traditional models simplify information spreading by focusing on single waves and local interactions.
  • Existing models often overlook the complex interplay between multiple, simultaneously spreading information waves.

Purpose of the Study:

  • To investigate the impact of multiple interacting information waves on global spreading dynamics.
  • To analyze how wave novelty influences interaction and survival.
  • To characterize the resulting information access decay patterns in various network structures.

Main Methods:

  • Development and application of an agent-based model incorporating wave novelty for interaction.
  • Analysis of information spreading on synthetic and real-world spatial road networks.
  • Derivation of analytical scaling results for one-dimensional systems.

Main Results:

  • Interactions between information waves, driven by novelty, result in faster information arrival at nodes.
  • A selection mechanism emerges where leading waves survive and lagging waves die out.
  • Information access decays with distance from the source, deviating from non-interacting models.
  • The decay rate exhibits a power-law relationship with distance, influenced by path redundancy and system dimension.

Conclusions:

  • Novelty-driven interactions fundamentally alter information spreading dynamics, favoring leading waves.
  • Network topology, specifically path redundancy and dimensionality, critically affects information decay rates.
  • Real-world networks demonstrate intermediate behaviors between highly redundant and tree-like structures.