[Submitted on 12 Jul 2025 (v1), last revised 27 Aug 2026 (this version, v2)]

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Abstract:We establish an asymptotic log-Harnack inequality for stochastic differential equations on $\R^d$ whose coefficients depend on the path and distribution for the whole history, allowing the drift to contain a Dini continuous term. The result is new even in the distribution-independent case.

Submission history

From: Xiao-Yu Zhao [view email]
[v1] Sat, 12 Jul 2025 03:50:33 UTC (18 KB)
[v2] Thu, 27 Aug 2026 08:05:23 UTC (19 KB)

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