12 citations · 37 across the 11 of their papers we have counts for
16 papers
Radial processes for sub-Riemannian Brownian motions and applications
Fabrice Baudoin, Erlend Grong, Kazumasa Kuwada +2
We study the radial part of sub-Riemannian Brownian motion in the context of totally geodesic foliations. Itô's formula is proved for the radial processes associated to Riemannian…
Monotonicity and rigidity of the W-entropy on RCD(0, N) spaces
Kazumasa Kuwada, Xiang-Dong Li
By means of a space-time Wasserstein control, we show the monotonicity of the W-entropy functional in time along heat flows on possibly singular metric measure spaces with non-nega…
Rigidity for the spectral gap on -spaces
Nicola Gigli, Christian Ketterer, Kazumasa Kuwada +1
We consider a rigidity problem for the spectral gap of the Laplacian on an -space (a metric measure space satisfying the Riemannian curvature-dimension condition) fo…
Sub-Laplacian comparison theorems on totally geodesic Riemannian foliations
Fabrice Baudoin, Erlend Grong, Kazumasa Kuwada +1
We develop a variational theory of geodesics for the canonical variation of the metric of a totally geodesic foliation. As a consequence, we obtain comparison theorems for the hori…
Equivalence between dimensional contractions in Wasserstein distance and the curvature-dimension condition
François Bolley, Ivan Gentil, Arnaud Guillin +1
The curvature-dimension condition is a generalization of the Bochner inequality to weighted Riemannian manifolds and general metric measure spaces. It is now known to be equivalent…
A coupling of Brownian motions in the -geometry
Takafumi Amaba, Kazumasa Kuwada
Under a complete Ricci flow, we construct a coupling of two Brownian motion such that their -distance is a supermartingale. This recovers a result of Lott [J. Lott,…