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arXiv · 2105.11040

Graphon particle system: Uniform-in-time concentration bounds

Erhan Bayraktar·Ruoyu Wu
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Abstract

In this paper, we consider graphon particle systems with heterogeneous mean-field type interactions and the associated finite particle approximations. Under suitable growth (resp. convexity) assumptions, we obtain uniform-in-time concentration estimates, over finite (resp. infinite) time horizon, for the Wasserstein distance between the empirical measure and its limit, extending the work of Bolley--Guillin--Villani.

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Erhan Bayraktar, Ruoyu Wu. 2021-05-23. Graphon particle system: Uniform-in-time concentration bounds. https://arxiv.org/abs/2105.11040

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