The paper constructs a Lyapunov function (sparse free energy) for the Markovian local-field equation on regular trees, proves convergence to stationary distributions, and characterizes those distributions as tree Gibbs marginals.
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An H-theorem for a conditional McKean-Vlasov process related to interacting diffusions on regular trees
The paper constructs a Lyapunov function (sparse free energy) for the Markovian local-field equation on regular trees, proves convergence to stationary distributions, and characterizes those distributions as tree Gibbs marginals.