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On partial diffusion and mixing without hypoellipticity
Published 7 Nov 2025 in math.AP | (2511.05280v1)
Abstract: A simple Markov process is considered involving a diffusion in one direction and a transport in a transverse direction. Quantitative mixing rate estimates are obtained with limited assumptions about the transport field, which might be highly irregular and/or highly degenerate, in particular quite far from satisfying an hypoellipticity type assumption.
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