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arXiv · 2410.08004

Propagation of chaos and residual dependence in Gibbs measures on finite sets

Jonas Jalowy·Zakhar Kabluchko·Matthias Löwe
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Abstract

We compare a mean-field Gibbs distribution on a finite state space on $N$ spins to that of an explicit simple mixture of product measures. This illustrates the situation beyond the so-called increasing propagation of chaos introduced by Ben Arous and Zeitouni 1999, where marginal distributions of size $k=o(N)$ are compared to product measures.

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Jonas Jalowy, Zakhar Kabluchko, Matthias Löwe. 2024-10-10. Propagation of chaos and residual dependence in Gibbs measures on finite sets. https://arxiv.org/abs/2410.08004

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