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The incremental voter model: mean-field analysis and convergence to equilibrium

As of 13 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2605.28984.

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2605.28984 v1

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measured 35 of 35 reference resolution

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35 of 35 outbound references displayed

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Outbound references

Observation 50891999-22c4-4a92-8a59-5cad45cdd4e7 · outbound

This paper cites Opinion dynamics: rise and fall of political parties.Europhysics Letters,69(5):671–677, 2005.

The incremental voter model: mean-field analysis and convergence to equilibrium Opinion dynamics: rise and fall of political parties.Europhysics Letters,69(5):671–677, 2005

Reference 1

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This paper cites The Bennati-Dragulescu-Yakovenko model in the continuous setting: PDE derivation and long-time behavior.

The incremental voter model: mean-field analysis and convergence to equilibrium The Bennati-Dragulescu-Yakovenko model in the continuous setting: PDE derivation and long-time behavior

Reference 2

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Observation 32771d5b-de93-4173-90dd-516623bc0699 · outbound

This paper cites Derivation of wealth distributions from biased ex- change of money.Kinetic & Related Models,16(5):764–794, 2023.

The incremental voter model: mean-field analysis and convergence to equilibrium Derivation of wealth distributions from biased ex- change of money.Kinetic & Related Models,16(5):764–794, 2023

Reference 3

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Observation 79ddf472-3c77-4d9c-99ae-cc38b210fc9d · outbound

This paper cites Entropy dissipation and propagation of chaos for the uniform reshuffling model.Mathematical Models and Methods in Applied Sciences,33(4):829–875, 2023.

The incremental voter model: mean-field analysis and convergence to equilibrium Entropy dissipation and propagation of chaos for the uniform reshuffling model.Mathematical Models and Methods in Applied Sciences,33(4):829–875, 2023

Reference 4

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Observation 2a958b0c-ec3c-4ae1-a54a-ed3962bc4d65 · outbound

This paper cites Fractal opinions among interacting agents.SIAM Journal on Applied Dynamical Systems,24(2):1529–1552, 2025.

The incremental voter model: mean-field analysis and convergence to equilibrium Fractal opinions among interacting agents.SIAM Journal on Applied Dynamical Systems,24(2):1529–1552, 2025

Reference 5

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Observation 40a60b1d-1818-4b0a-870f-e3e0eac15c34 · outbound

This paper cites The fractal geometry of opinion formation.

The incremental voter model: mean-field analysis and convergence to equilibrium The fractal geometry of opinion formation

Reference 6

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Observation 6a269b62-7434-4169-872b-19ead4537ff3 · outbound

This paper cites From interacting agents to Boltzmann-Gibbs distribution of money.Nonlinearity,37(12):125020, 2024.

The incremental voter model: mean-field analysis and convergence to equilibrium From interacting agents to Boltzmann-Gibbs distribution of money.Nonlinearity,37(12):125020, 2024

Reference 7

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Observation 98e82cba-7a51-49df-b1cf-f2c8b3c85d70 · outbound

This paper cites The iterative persuasion-polarization opinion dynamics and its mean-field analysis.SIAM Journal on Applied Mathematics,85(4):1596–1620, 2025.

The incremental voter model: mean-field analysis and convergence to equilibrium The iterative persuasion-polarization opinion dynamics and its mean-field analysis.SIAM Journal on Applied Mathematics,85(4):1596–1620, 2025

Reference 8

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Observation 64fd20d6-83bc-4cd3-9243-916ced4a26e4 · outbound

This paper cites Uncovering a two-phase dynamics from a dol- lar exchange model with bank and debt.SIAM Journal on Applied Mathematics, 83(5):1872–1891, 2023.

The incremental voter model: mean-field analysis and convergence to equilibrium Uncovering a two-phase dynamics from a dol- lar exchange model with bank and debt.SIAM Journal on Applied Mathematics, 83(5):1872–1891, 2023

Reference 9

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Observation 319a9180-f172-4163-8383-70f45c2b6dd7 · outbound

This paper cites Uniform propagation of chaos for a dollar exchange econophysics model.European Journal of Applied Mathematics,36(1):27–39, 2025.

The incremental voter model: mean-field analysis and convergence to equilibrium Uniform propagation of chaos for a dollar exchange econophysics model.European Journal of Applied Mathematics,36(1):27–39, 2025

Reference 10

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Observation 3fdceda4-d35a-4bd8-912c-62da8777d01e · outbound

This paper cites Wealth exchange under ceiling and flooring constraints: a modified Bennati-Dragulescu-Yakovenko model.

The incremental voter model: mean-field analysis and convergence to equilibrium Wealth exchange under ceiling and flooring constraints: a modified Bennati-Dragulescu-Yakovenko model

Reference 11

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Observation d215a654-8313-4796-ab87-c86a376b5857 · outbound

This paper cites Kinetic limits for pair-interaction driven master equations and biological swarm models.Mathematical Models and Methods in Applied Sciences,23(07):1339–1376, 2013.

The incremental voter model: mean-field analysis and convergence to equilibrium Kinetic limits for pair-interaction driven master equations and biological swarm models.Mathematical Models and Methods in Applied Sciences,23(07):1339–1376, 2013

Reference 12

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Observation 5a60ce3e-b700-4ed7-8559-01c845a53ea9 · outbound

This paper cites Statistical physics of social dynamics.Reviews of modern physics,81(2):591, 2009.

The incremental voter model: mean-field analysis and convergence to equilibrium Statistical physics of social dynamics.Reviews of modern physics,81(2):591, 2009

Reference 13

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Observation 65ddeb04-8a64-4454-9962-07a6acbf272b · outbound

This paper cites A model for spatial conflict.Biometrika, 60(3):581–588, 1973.

The incremental voter model: mean-field analysis and convergence to equilibrium A model for spatial conflict.Biometrika, 60(3):581–588, 1973

Reference 14

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Observation f845db6a-90ac-4dc2-90f3-d7d7d071ddbe · outbound

This paper cites Quantitative propagation of chaos for gener- alized Kac particle systems.The Annals of Applied Probability,26(2):892–916, 2016.

The incremental voter model: mean-field analysis and convergence to equilibrium Quantitative propagation of chaos for gener- alized Kac particle systems.The Annals of Applied Probability,26(2):892–916, 2016

Reference 15

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Observation 7e147bba-1368-4baa-8b39-6e78de286147 · outbound

This paper cites Mixing beliefs among interacting agents.Advances in Complex Systems,3(01n04):87–98, 2000.

The incremental voter model: mean-field analysis and convergence to equilibrium Mixing beliefs among interacting agents.Advances in Complex Systems,3(01n04):87–98, 2000

Reference 16

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Observation efbe84ed-e2dd-45df-a8df-fcec69b5bfcb · outbound

This paper cites How can extremism prevail? A study based on the relative agreement interaction model.Journal of Artificial Societies and Social Simulation,5(4):27, 2002.

The incremental voter model: mean-field analysis and convergence to equilibrium How can extremism prevail? A study based on the relative agreement interaction model.Journal of Artificial Societies and Social Simulation,5(4):27, 2002

Reference 17

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Observation 034c6d76-5598-47b7-a168-7cfb7a993df5 · outbound

This paper cites Macroscopic limits of the Boltzmann equation: a review.Modeling and computational methods for kinetic equations, pp.

The incremental voter model: mean-field analysis and convergence to equilibrium Macroscopic limits of the Boltzmann equation: a review.Modeling and computational methods for kinetic equations, pp

Reference 18

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This paper cites A Boltzmann-type approach to the formation of wealth distribution curves.Available at SSRN 1281404, 2008.

The incremental voter model: mean-field analysis and convergence to equilibrium A Boltzmann-type approach to the formation of wealth distribution curves.Available at SSRN 1281404, 2008

Reference 19

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This paper cites Probability: theory and examples.

The incremental voter model: mean-field analysis and convergence to equilibrium Probability: theory and examples

Reference 20

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Observation 503e13d9-f5b6-4d72-a012-618f48d9ba0a · outbound

This paper cites Sociophysics: A new approach of sociological collective behavior.The Journal of Mathematical Sociology,9(1):1–13, 1982.

The incremental voter model: mean-field analysis and convergence to equilibrium Sociophysics: A new approach of sociological collective behavior.The Journal of Mathematical Sociology,9(1):1–13, 1982

Reference 21

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Observation 79de8a6a-e976-4fed-9566-c6d4d72a3c20 · outbound

This paper cites Opinion dynamics and bounded confidence models, analysis, and simulation.Journal of artificial societies and social simulation, 5(3), 2002.

The incremental voter model: mean-field analysis and convergence to equilibrium Opinion dynamics and bounded confidence models, analysis, and simulation.Journal of artificial societies and social simulation, 5(3), 2002

Reference 22

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Observation c16b7942-81ad-4d33-824b-9e5562463ef5 · outbound

This paper cites Denton, Michael E.

The incremental voter model: mean-field analysis and convergence to equilibrium Denton, Michael E

Reference 23

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This paper cites Holley, and Thomas M.

The incremental voter model: mean-field analysis and convergence to equilibrium Holley, and Thomas M

Reference 24

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This paper cites Clustering and asymptotic behavior in opinion formation.Journal of Differential Equations,257(11):4165–4187, 2014.

The incremental voter model: mean-field analysis and convergence to equilibrium Clustering and asymptotic behavior in opinion formation.Journal of Differential Equations,257(11):4165–4187, 2014

Reference 25

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Observation 382b980a-ddb8-4a6f-8146-cd221a60eb34 · outbound

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The incremental voter model: mean-field analysis and convergence to equilibrium Stochastic modeling

Reference 26

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Observation 29528ef2-72b5-42e9-a7ad-125563ff2ae6 · outbound

This paper cites Bounded confidence dynamics and graph control: Enforcing consensus.Networks and Heterogeneous Media,15(3):489– 517, 2020.

The incremental voter model: mean-field analysis and convergence to equilibrium Bounded confidence dynamics and graph control: Enforcing consensus.Networks and Heterogeneous Media,15(3):489– 517, 2020

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The incremental voter model: mean-field analysis and convergence to equilibrium Unresolved cited work

Reference 28

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Observation b3f46de8-a1e6-4899-889c-0f80377c751b · outbound

This paper cites On steady distributions of kinetic models of conservative economies.Journal of Statistical Physics,130(6):1087–1117, 2008.

The incremental voter model: mean-field analysis and convergence to equilibrium On steady distributions of kinetic models of conservative economies.Journal of Statistical Physics,130(6):1087–1117, 2008

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Observation cfe72192-367d-4c88-bbe3-44ef9d2dc0da · outbound

This paper cites Mathematical modeling of collective behavior in socio-economic and life sciences.Springer Science & Business Media, 2010.

The incremental voter model: mean-field analysis and convergence to equilibrium Mathematical modeling of collective behavior in socio-economic and life sciences.Springer Science & Business Media, 2010

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Observation 97766bc0-0277-40af-9a61-08eb5affbcbf · outbound

This paper cites Chakrabarti.

The incremental voter model: mean-field analysis and convergence to equilibrium Chakrabarti

Reference 31

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Observation deeac4e2-01d9-465c-a83a-9d2241829628 · outbound

This paper cites Opinion evolution in closed community.

The incremental voter model: mean-field analysis and convergence to equilibrium Opinion evolution in closed community

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Observation 195a86c4-f317-4b6e-8688-21da99ff5d37 · outbound

This paper cites A review on the Sznajd model - 20 years after.Physica A: Statistical Mechanics and its Applications,565:1– 12, 2021.

The incremental voter model: mean-field analysis and convergence to equilibrium A review on the Sznajd model - 20 years after.Physica A: Statistical Mechanics and its Applications,565:1– 12, 2021

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This paper cites Topics in propagation of chaos.

The incremental voter model: mean-field analysis and convergence to equilibrium Topics in propagation of chaos

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Observation e3067ce4-5f76-4cda-9388-24acc28fce99 · outbound

This paper cites Kinetic models of opinion formation.Communications in Mathe- matical Sciences,4(3):481–496, 2006.

The incremental voter model: mean-field analysis and convergence to equilibrium Kinetic models of opinion formation.Communications in Mathe- matical Sciences,4(3):481–496, 2006

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