For the parabolic Anderson model in dimension d≥3 with weak multiplicative noise, the solution converges in distribution to a limiting random field, extending earlier ergodicity results to broader noises and initial conditions.
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On ergodic properties of stochastic PDEs
For the parabolic Anderson model in dimension d≥3 with weak multiplicative noise, the solution converges in distribution to a limiting random field, extending earlier ergodicity results to broader noises and initial conditions.