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Le Chen, Nicholas Eisenberg, Invariant Measures for the Nonlinear Stochastic Heat Equation with No Drift Term , J · 2024 · DOI 10.1007/s10959-023-01302-4

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On ergodic properties of stochastic PDEs

math.PR · 2024-12-04 · conditional · novelty 6.0

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 math.PR · 2024-12-04 · conditional · none · ref 12

    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.