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A Liouville theorem for stationary and ergodic ensembles of parabolic systems
Published 12 Jun 2017 in math.AP and math.PR | (1706.03440v1)
Abstract: 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.
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