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arXiv · 2403.18179

Tagged particles and size-biased dynamics in mean-field interacting particle systems

Angeliki Koutsimpela·Stefan Grosskinsky
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Abstract

We establish a connection between tagged particles and size-biased empirical processes in interacting particle systems, in analogy to classical results on the propagation of chaos. In a mean-field scaling limit, the evolution of the occupation number on the tagged particle site converges to a time-inhomogeneous Markov process with non-linear master equation given by the law of large numbers of size-biased empirical measures. The latter are important in recent efforts to understand the dynamics of condensation in interacting particle systems.

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Angeliki Koutsimpela, Stefan Grosskinsky. 2024-03-27. Tagged particles and size-biased dynamics in mean-field interacting particle systems. https://arxiv.org/abs/2403.18179

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