Entropic Chaos of Mixed Mean-Field Jump Processes
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914173704732672 |
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| author | Lim, Tau Shean Zhang, Shuoning |
| author_facet | Lim, Tau Shean Zhang, Shuoning |
| contents | This paper studies a class of mixed mean-field jump processes on an abstract state space $Π$, 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 Götze and Sambale, 2020. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_22926 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Entropic Chaos of Mixed Mean-Field Jump Processes Lim, Tau Shean Zhang, Shuoning Analysis of PDEs Probability 60K35, 82C22 G.3 This paper studies a class of mixed mean-field jump processes on an abstract state space $Π$, 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 Götze and Sambale, 2020. |
| title | Entropic Chaos of Mixed Mean-Field Jump Processes |
| topic | Analysis of PDEs Probability 60K35, 82C22 G.3 |
| url | https://arxiv.org/abs/2511.22926 |