Analysis for Diffusion Processes on Riemannian Manifolds

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On Optimal Matching of Gaussian Samples (2019, methodology): “We may refer to the monographs [14, 13, 36, 6] for accounts and references on these standard properties.”
Li-Yau-Hamilton estimates and Bakry-Emery Ricci curvature (2014, background): “Li-Yau estimate has been improved and generalized to other nonlinear equations on a Riemannian manifold, see [1, 2, 5, 7, 9, 15, 16, 19, 20, 21, 22, 24, 25, 29, 30, 31, 34, 35, 36, 41, 42] and references therein.”
Heat Kernel Bounds on Metric Measure Spaces and Some Applications (2014, background): “[39] for an comprehensive introduction in the setting of Riemannian manifolds, a nd see [24, Section 4] for some applications on the transport-cost inequality, logarithmic Sob olev inequality and contractivity property of the heat flow inRCD∗(K,∞) spaces.”