This paper, submitted to arXiv on June 22, 2026, explores the stability properties of the Kim--Milman flow map. The authors demonstrate that this map exhibits favorable stability when variations occur in the target measure, particularly when one of the target measures is sufficiently regular. The findings include stability in relative entropy and Lipschitz stability in the 2-Wasserstein distance, with a logarithmic factor. Additionally, the paper presents a general existence theorem for these maps applicable to any target measure possessing a finite second moment. AI
RANK_REASON The cluster contains a single academic paper submission to arXiv. [lever_c_demoted from research: ic=1 ai=0.1]
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