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Gideon Amir, Ivan Corwin, Jeremy Quastel, Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions, Comm · 2011 · Communications on Pure and Applied Mathematics · DOI 10.1002/cpa.20347

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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 1

    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.