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November 8, 2025Stochastics and Dynamics

Conditional McKean-Vlasov Differential Equations with Common Poissonian Noise: Propagation of Chaos

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Authors

DHDaniel Hernández–HernándezJGJoshue Heli Ricalde Guerrero

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Overview

Analysis shows weak convergence in large interacting systems with Brownian motion, suggesting effective propagation of chaos.

Key Points

  • Weak convergence is demonstrated as population size approaches infinity, validating chaos propagation.
  • Key evidence emphasizes the significance of weak convergence for understanding system behaviors in large populations.
  • Analysis of McKean-Vlasov differential equations with common Poissonian noise was performed through mathematical formulation.
  • This study highlights implications for modeling large populations in stochastic systems with collective effects.

Cite This Study

Hernández–Hernández et al. (2025) studied this question.

synapsesocial.com/papers/690e8b6ca5b062d7a4e735c7https://doi.org/10.1142/s0219493725500339
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  1. 1Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle2006 · 1,638 citations