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Preprint Oct 2026

Entropy Production for Stationary Diffusions on Hilbert Spaces

We study entropy production for stationary diffusions on separable Hilbert spaces with possibly degenerate, state-dependent trace-class covariance. We first define the reversible--irreversible drift decomposition to provide a candidate drift for the reversed dynamics. Then by working directly with the invariant measure...

Zhuo-Yuan Li, Yue Zhao, Ai-Qing Zhu · 0 citations

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