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arXiv · 2511.22926

Entropic Chaos of Mixed Mean-Field Jump Processes

Tau Shean Lim·Shuoning Zhang
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Abstract

This paper studies a class of mixed mean-field jump processes on an abstract state space $\Pi$, together with their associated $N$-particle systems. The dynamics consist of the superposition of an independent Markovian component and a bounded mean-field jump interaction; in particular, piecewise deterministic Markov processes (PDMPs) with mean-field interactions are covered by this framework. Under a second-order bounded difference condition on the mean-field jump kernel, we establish entropic propagation of chaos as $N \to \infty$. In particular, we obtain an explicit qualitative bound on the relative entropy between the law of the $N$-particle system and the product measure induced by the mean-field limit. The proof relies on the second-order concentration inequality introduced in G\"otze and Sambale, 2020.

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Tau Shean Lim, Shuoning Zhang. 2025-11-28. Entropic Chaos of Mixed Mean-Field Jump Processes. https://arxiv.org/abs/2511.22926

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