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Jing-Yi Zhang

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Preprint Sep 2026

Uniform-in-Time Boltzmann Mean-Field Limits for Anchored Binary Opinion Dynamics

We study a continuous-time opinion model in which agents interact in pairs and each agent has a fixed anchor. At each interaction, both opinions are updated according to a possibly nonlinear rule with random inputs. Under suitable stability and moment assumptions, we establish uniform-in-time propagation of chaos: as t...

Jing-Yi Zhang, Debankur Mukherjee · 0 citations
Jul 2026

Scaling Limits of Constant-Stepsize SGD at Flat Minima

This work proves existence, uniqueness, and geometric convergence to an augmented invariant law in a Wasserstein distance induced by an $\alpha$-dependent metric and analysis of the small-stepsize scaling limit gives corresponding results for coordinate-separable objectives with unequal flatness exponents.

Jing-Yi Zhang, Cheng Mao, Debankur Mukherjee · 0 citations

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