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20092021
most citedOn Unique Ergodicity in Nonlinear Stochastic Partial Differential Equations

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math.AP2012

Invariance of the Gibbs measure for the periodic quartic gKdV

Geordie Richards

We prove invariance of the Gibbs measure for the (gauge transformed) periodic quartic gKdV. The Gibbs measure is supported on H^s for s<1/2, and the quartic gKdV is analytically il…