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Long-Jie Xie

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Preprint Sep 2026

Long-time behavior of McKean--Vlasov stochastic systems with singular coefficients

We develop a quantitative framework for the long-time behavior of McKean--Vlasov stochastic differential equations with singular coefficients and possible phase transitions. The framework separates the existence of invariant measures from their uniqueness. For existence, we introduce a generalized Lyapunov condition wi...

Shan Hua, Tao Wang, Long-Jie Xie · 0 citations