Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Kazumasa Kuwada"'
Publikováno v:
Oberwolfach Reports. 16:1003-1042
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6cb46d00a44c5298b26d10018bc1ef17
https://doi.org/10.4171/owr/2019/16
https://doi.org/10.4171/owr/2019/16
Autor:
Kazumasa Kuwada, Xiang-Dong Li
Publikováno v:
manuscripta mathematica. 164:119-149
By means of a space-time Wasserstein control, we show the monotonicity of the $${\mathcal {W}}$$ -entropy functional in time along heat flows on possibly singular metric measure spaces with non-negative Ricci curvature and a finite upper bound of dim
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::919a5d29859dbd58f3f93f8c5c58ac60
https://doi.org/10.1007/s00229-019-01177-y
https://doi.org/10.1007/s00229-019-01177-y
Autor:
Kazumasa Kuwada, Kazuhrio Kuwae
Publikováno v:
Journal de Mathématiques Pures et Appliquées. 126:72-108
In this paper, we show a stochastic expression for the radial processes of Brownian motions on RCD ⁎ ( K , N ) -spaces. It corresponds to the one on Riemannian manifolds. The expression holds for all starting points without exceptional sets. It can
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5322253c065d6db05a82b8f1d963e5f2
https://doi.org/10.1016/j.matpur.2018.12.008
https://doi.org/10.1016/j.matpur.2018.12.008
Publikováno v:
Annali della Scuola Normale Superiore di Pisa
Annali della Scuola Normale Superiore di Pisa, 2018, 18 (4), pp.1-36
Annali della Scuola Normale Superiore di Pisa, 2018, 18 (4), pp.1-36
International audience; 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 to evolution variational inequalities for the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3499037b78f87f88bbaeee510fd699fa
https://doi.org/10.2422/2036-2145.201611_009
https://doi.org/10.2422/2036-2145.201611_009
Publikováno v:
Electron. J. Probab.
Electronic Journal of Probability (EJP)
Electronic Journal of Probability (EJP)
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 distances approximating the Riemannian one. We deduce very general
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d825e88dd6484ffd22ddcfcf4ce1a801
https://doi.org/10.1214/20-ejp501
https://doi.org/10.1214/20-ejp501
Publikováno v:
Calculus of Variations and Partial Differential Equations. 58
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 horizontal and vertical Laplacians. In the case of Sasakian foliations, we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f12ad2d8562e71ab6fc1d674859c9e9f
https://doi.org/10.1007/s00526-019-1570-8
https://doi.org/10.1007/s00526-019-1570-8
Autor:
Kazumasa Kuwada
Publikováno v:
Probabilistic Approach to Geometry, M. Kotani, M. Hino and T. Kumagai, eds. (Tokyo: Mathematical Society of Japan, 2010)
Along an idea of von Renesse, couplings of the Brownian motion on a Riemannian manifold and their extensions are studied. We construct couplings as a limit of coupled geodesic random walks whose components approximate the Brownian motion respectively
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::edadd884dabb2f93ee511001a774a3e3
https://doi.org/10.2969/aspm/05710273
https://doi.org/10.2969/aspm/05710273
Autor:
Takafumi Amaba, Kazumasa Kuwada
Publikováno v:
Tohoku Math. J. (2) 70, no. 1 (2018), 139-174
Under a complete Ricci flow, we construct a coupling of two Brownian motion such that their $\mathcal{L}_0$-distance is a supermartingale. This recovers a result of Lott [J. Lott, Optimal transport and Perelman's reduced volume, Calc. Var. Partial Di
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f91a3bd9fe4ea8bf92046754b8c39e4c
https://doi.org/10.2748/tmj/1520564422
https://doi.org/10.2748/tmj/1520564422
Publikováno v:
American Journal of Mathematics; Oct2020, Vol. 142 Issue 5, p1559-1594, 36p