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This is a Quantitative Study study.

September 29, 2025Open Access

Particle Systems with Local Interactions via Hitting Times and Cascades on Graphs

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The study shows well-posed physical solutions in particle systems with local interactions on graphs, establishing essential robustness conditions.
Key findings reveal the continuous dependence of the joint law of the physical solution on the graph structure and the convergence of the global empirical measure.
Using the dynamics of hitting times, this analysis connects particle systems to dynamic percolation theory, highlighting implications for sparse networks.
This framework establishes a method to analyze systemic risks in financial sectors, focusing on cascades caused by instantaneous defaults.

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Implication

This study demonstrates the continuous dependence of particle system behavior on graph structure, highlighting local interactions and their implications for systemic risk.

Cite This Study

Guo et al. (2025) studied this question.

synapsesocial.com/papers/68da58d8c1728099cfd110af https://doi.org/10.48550/arxiv.2505.18448

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Implication

This study demonstrates the continuous dependence of particle system behavior on graph structure, highlighting local interactions and their implications for systemic risk.

Particle Systems with Local Interactions via Hitting Times and Cascades on Graphs

Key Points

Discussion

Implication

Cite This Study

Particle Systems with Local Interactions via Hitting Times and Cascades on Graphs

Key Points

Discussion

Implication

Cite This Study

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