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We study the long-time behavior of almost periodic solutions to stochasticscalar conservation laws in any space dimension, under the assumption ofLipschitz continuity of the flux functions and a non-degeneracy condition. Weshow the existence and uniqueness of an invariant measure in the space ofBesicovitch almost periodic functions.

Invariant measures for stochastic conservation laws with Lipschitz flux in the space of almost periodic functions