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MiS Preprint
37/2017
A Liouville theorem for stationary and ergodic ensembles of parabolic systems
Peter Bella, Alberto Chiarini and Benjamin Fehrman
A first-order Liouville theorem is obtained for random ensembles of uniformly parabolic systems under the mere qualitative assumptions of stationarity and ergodicity. Furthermore, the paper establishes, almost surely, an intrinsic large-scale $\C^{1,\alpha}$-regularity estimate for caloric functions.
