12 citations · 37 across the 11 of their papers we have counts for
12 papers · 1 filter
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…
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,…
Space-time Wasserstein controls and Bakry-Ledoux type gradient estimates
Kazumasa Kuwada
The duality in Bakry-Émery's gradient estimates and Wasserstein controls for heat distributions is extended to that in refined estimates in a high generality. As a result, we find…
Convergence of time-inhomogeneous geodesic random walks and its application to coupling methods
Kazumasa Kuwada
We study an approximation by time-discretized geodesic random walks of a diffusion process associated with a family of time-dependent metrics on manifolds. The condition we assume…