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Temporal Ordering of Dynamic Expression Data from Detailed Spatial Expression Maps
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Consensus dynamics on temporal hypergraphs.

Leonie Neuhäuser1, Renaud Lambiotte2, Michael T Schaub1

  • 1Department of Computer Science, RWTH Aachen University, 52074 Aachen, Germany.

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|January 15, 2022
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Summary
This summary is machine-generated.

Consensus dynamics on temporal hypergraphs show slower convergence than static networks. Early interactions in temporal systems create a "first-mover advantage," influencing final consensus values differently than in static network projections.

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Area of Science:

  • Complex systems
  • Network science
  • Mathematical modeling

Background:

  • Temporal hypergraphs model complex systems with time-dependent, multi-way interactions.
  • Understanding consensus dynamics is crucial for social, biological, and technological networks.

Purpose of the Study:

  • To investigate consensus dynamics on temporal hypergraphs.
  • To compare consensus on temporal hypergraphs with dynamics on their projections (pairwise or static).
  • To analyze the impact of temporal and multi-way interactions on consensus formation.

Main Methods:

  • Simulating linear and nonlinear consensus dynamics on temporal hypergraphs.
  • Comparing convergence rates and final consensus values with network projections.
  • Analyzing the influence of early interactions ('first-mover advantage') in temporal hypergraphs.

Main Results:

  • Linear consensus dynamics on temporal hypergraphs converge slower than on pairwise or static projections.
  • Nonlinear consensus dynamics exhibit slower convergence and can lead to different final consensus values compared to static hypergraphs.
  • A 'first-mover advantage' was observed in temporal hypergraphs, where early hyperedge activity influences the final consensus.

Conclusions:

  • Temporal and multi-way interactions significantly alter consensus dynamics compared to simplified network models.
  • The 'first-mover advantage' in temporal hypergraphs highlights the importance of interaction timing in consensus formation.
  • Network structure and temporal dynamics are critical factors influencing emergent consensus behavior.