• Corpus ID: 45040134

Dynamics of Voter Models on Simple and Complex Networks

@article{Redner2017DynamicsOV,
  title={Dynamics of Voter Models on Simple and Complex Networks},
  author={Sidney Redner},
  journal={arXiv: Physics and Society},
  year={2017}
}
  • S. Redner
  • Published 26 April 2017
  • Economics
  • arXiv: Physics and Society
This is a brief tutorial review of the dynamics of the voter model and the invasion process on complex networks. 

Figures from this paper

Opinion formation on dynamic networks: identifying conditions for the emergence of partisan echo chambers
TLDR
This work presents and validate the conditions for the emergence of partisan echo chambers, characterizing the transition from cohesive communities with a consensus to divisive networks with splitting opinions and applies the model to voting records of the US House of Representatives over a timespan of decades to understand the influence of underlying psychological and social factors on increasing partisanship.
The Role of Network Analysis in Industrial and Applied Mathematics
TLDR
This commentary discusses the role of network analysis in industrial and applied mathematics, and gives several examples of network science in industry, focusing on discussing a physical-applied-mathematics approach to the study of networks.
A modified Ising model of Barabási–Albert network with gene-type spins
TLDR
This work systematically evaluates the translation of computational techniques from solid-state physics to network models that closely resemble biological networks and develops specific translational rules to tackle problems unique to living systems on the basis of apparent asymmetry between biological states.
Quasistationary Distribution for the Invasion Model on a Complete Bipartite Graph
The Invasion Model on the complete bibartitle graph was introduced and studied by physicists as a rudimentary model for opinion dynamics on complex networks. We identify the limit of the
Competition of Social Opinions on Two Layer Networks
TLDR
A competition model is studied on interconnected networks with two-layer opinions, where the first layer is opinion formation and the second layer is decision making, which shows that both internal and external links play a vital role for consensus.

References

SHOWING 1-10 OF 13 REFERENCES
A guide to first-passage processes
Preface Errata 1. First-passage fundamentals 2. First passage in an interval 3. Semi-infinite system 4. Illustrations of first passage in simple geometries 5. Fractal and nonfractal networks 6.
Networks: An Introduction
TLDR
This book brings together for the first time the most important breakthroughs in each of these fields and presents them in a coherent fashion, highlighting the strong interconnections between work in different areas.
Evolutionary Dynamics
Through the animal and vegetable kingdoms, nature has scattered the seeds of life abroad with the most profuse and liberal hand; but has been comparatively sparing in the room and nourishment
Stochastic Processes in Physics and Chemistry
N G van Kampen 1981 Amsterdam: North-Holland xiv + 419 pp price Dfl 180 This is a book which, at a lower price, could be expected to become an essential part of the library of every physical
The Asymptotic Theory of Extreme Order Statistics
Abstract. Let X j denote the life length of the j th component of a machine. In reliability theory, one is interested in the life length Z n of the machine where n signifies its number of components.
Mathematical population genetics.
Contents Preface Introduction 1 Historical Background 1.1 Biometricians, Saltationists and Mendelians 1.2 The Hardy-Weinberg Law 1.3 The Correlation Between Relatives 1.4 Evolution 1.4.1 The
The neutral theory of molecular evolution
TLDR
The molecular clock hypothesis was used to propose that humans and apes diverged approximately 5 million years ago and found that there was a constant rate of amino acid substitution over time.
Interacting Particle Systems
The Construction, and Other General Results.- Some Basic Tools.- Spin Systems.- Stochastic Ising Models.- The Voter Model.- The Contact Process.- Nearest-Particle Systems.- The Exclusion Process.-
Phys
  • Rev. Lett. 86, 3200
  • 2001
Phys
  • Rev. A 45, 1067
  • 1992
...
...