Symplectic bipotentials were introduced in prior papers such as arXiv:0810.1419, arXiv:1902.04598, and arXiv:2304.14158, so most content of the 2024 target paper is not new.
A stochastic version and a Liouville theorem for hamiltonian inclusions with convex dissipation
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abstract
The statistical counterpart of the formalism of hamiltonian systems with convex dissipation arXiv:0810.1419 , arXiv:1408.3102 is a completely open subject. Here are described a stochastic version of the SBEN principle and a Liouville type theorem which uses a minimal dissipation cost functional.
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2026 1verdicts
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Comments on Symplectic bipotentials arXiv:2410.23122
Symplectic bipotentials were introduced in prior papers such as arXiv:0810.1419, arXiv:1902.04598, and arXiv:2304.14158, so most content of the 2024 target paper is not new.