27 citations · 63 across the 24 of their papers we have counts for
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cond-mat.stat-mech2019★ 27 cited
Thermodynamic interpretation of Wasserstein distance
Andreas Dechant, Yohei Sakurai
We derive a relation between the dissipation in a stochastic dynamics and the Wasserstein distance. We show that the minimal amount of dissipation required to transform an initial…
math.DG2019★ 2 cited
Geometric and spectral properties of directed graphs under a lower Ricci curvature bound
Ryunosuke Ozawa, Yohei Sakurai, Taiki Yamada
For undirected graphs, the Ricci curvature introduced by Lin-Lu-Yau has been widely studied from various perspectives, especially geometric analysis. In the present paper, we discu…
math.DG2019
Upper bounds for higher-order Poincar'e constants
Kei Funano, Yohei Sakurai
We introduce higher-order Poincar'e constants for compact weighted manifolds and estimate them from above in terms of subsets. These estimates imply upper bounds for eigenvalues of…