27 citations · 63 across the 24 of their papers we have counts for
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math.DG2017★ 3 cited
Concentration of eigenfunctions of the Laplacian on a closed Riemannian manifold
Kei Funano, Yohei Sakurai
We study concentration phenomena of eigenfunctions of the Laplacian on closed Riemannian manifolds. We prove that the volume measure of a closed manifold concentrates around nodal…
math.DG2017★ 1 cited
One dimensional weighted Ricci curvature and displacement convexity of entropies
Yohei Sakurai
In the present paper, we prove that a lower bound on the -weighted Ricci curvature is equivalent to a convexity of entropies on the Wasserstein space. Based on such characteriza…