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math.PR2021
Local stability of McKean-Vlasov equations arising from heterogeneous Gibbs systems using limit of relative entropies
D. A. Dawson, A. Sid-Ali, Y. Q. Zhao
A family of heterogeneous mean-field systems with jumps is analyzed. These systems are constructed as a Gibbs measure on block graphs. When the total number of particles goes to in…
math.PR2021
Large-time behavior of finite-state mean-field systems with multi-classes
Donald A. Dawson, Ahmed Sid-Ali, Yiqiang Q. Zhao
We study in this paper the large-time asymptotics of the empirical vector associated with a family of finite-state mean-field systems with multi-classes. The empirical vector is co…