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March 12, 2026Journal of Mathematical Physics0 citations

Strong convergence of propagation of chaos for the linear-formation model

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YDYanlin DingNational University of Defense TechnologyJWJuntao WuZhejiang International Studies UniversityXWXiao WangNational University of Defense Technology

Key Points

  • The research aims to explore the strong convergence of chaos propagation in the Linear-Formation particle model.
  • Analyzed the Linear-Formation particle model for chaos propagation.
  • Obtained explicit bounds on relative entropy between the particle system and kinetic model.
  • Applied the modified law of large numbers based on Jabin and Wang’s relative entropy.
  • Demonstrated strong convergence of all marginal distributions.
  • Established mean-field limits for the Linear-Formation particle system.
  • Provided an explicit bound on relative entropy, linking particle and kinetic models.

Abstract

In this paper, we investigate a strong convergence of propagation of chaos for the Linear-Formation particle model. We obtain an explicit bound on the relative entropy between the joint law of the particle system and the tensorized law of the Linear-Formation kinetic model. This result implies the mean-field limit for the Linear-Formation particle system and propagation of chaos via strong convergence of all marginal distributions. The proof is based on the modified law of large numbers for Jabin and Wang’s relative entropy at an exponential or large deviation scale.

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Cite This Study

Ding et al. (2026) studied this question.

synapsesocial.com/papers/69b257cd96eeacc4fcec6c2ehttps://doi.org/10.1063/5.0301830
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