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math.MG2025
On the rigidity of Wasserstein contraction along heat flows
Zhenhao Li
We establish an equivalence between the rigidity of Wasserstein contraction along heat flows and the rigidity of Bakry--Émery gradient estimates for Lipschitz functions. Applying r…
math.MG2022
The Globalization Theorem for CD(K,N) on locally finite Spaces
Zhenhao Li
We establish the local-to-global property of the synthetic curvature-dimension condition for essentially non-branching locally finite metric-measure spaces, extending the work [F.…
math.MG2022★ 2 cited
Absolutely continuous and BV-curves in 1-Wasserstein spaces
Ehsan Abedi, Zhenhao Li, Timo Schultz
We extend the result of Lisini (Calc Var Partial Differ Equ 28:85-120, 2007) on the superposition principle for absolutely continuous curves in -Wasserstein spaces to the specia…