@article{TSG_2006-2007__25__17_0,
author = {J\'er\^ome Bertrand},
title = {Transport de mesures sur un espace {d{\textquoteright}Alexandrov}},
journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie},
pages = {17--24},
publisher = {Institut Fourier},
address = {Grenoble},
volume = {25},
year = {2006-2007},
doi = {10.5802/tsg.244},
mrnumber = {2478805},
zbl = {1163.49043},
language = {fr},
url = {https://proceedings.centre-mersenne.org/articles/10.5802/tsg.244/}
}
TY - JOUR AU - Jérôme Bertrand TI - Transport de mesures sur un espace d’Alexandrov JO - Séminaire de théorie spectrale et géométrie PY - 2006-2007 SP - 17 EP - 24 VL - 25 PB - Institut Fourier PP - Grenoble UR - https://proceedings.centre-mersenne.org/articles/10.5802/tsg.244/ DO - 10.5802/tsg.244 LA - fr ID - TSG_2006-2007__25__17_0 ER -
%0 Journal Article %A Jérôme Bertrand %T Transport de mesures sur un espace d’Alexandrov %J Séminaire de théorie spectrale et géométrie %D 2006-2007 %P 17-24 %V 25 %I Institut Fourier %C Grenoble %U https://proceedings.centre-mersenne.org/articles/10.5802/tsg.244/ %R 10.5802/tsg.244 %G fr %F TSG_2006-2007__25__17_0
Jérôme Bertrand. Transport de mesures sur un espace d’Alexandrov. Séminaire de théorie spectrale et géométrie, Tome 25 (2006-2007), pp. 17-24. doi : 10.5802/tsg.244. https://proceedings.centre-mersenne.org/articles/10.5802/tsg.244/
[1] Dominique Bakry and Michel Émery. Diffusions hypercontractives. In Séminaire de probabilités, XIX, 1983/84, volume 1123 of Lecture Notes in Math., pages 177–206. Springer, Berlin, 1985. | Numdam | MR | Zbl
[2] Jérôme Bertrand. Existence and uniqueness of optimal maps on Alexandrov spaces. Preprint 2007.
[3] Yuri Burago, Mikhail Gromov, and Gregory Perelman. A. D. Aleksandrov spaces with curvatures bounded below. Uspekhi Mat. Nauk, 47(2(284)) :3–51, 222, 1992. | MR | Zbl
[4] John Lott and Cédric Villani. Ricci curvature for metric-measure spaces via optimal mass transport. To appear in Annals of math.
[5] John Lott and Cédric Villani. Weak curvature conditions and poincaré inequalities. J. Funct. Anal. 245(1) : 311–333, 2007. | MR | Zbl
[6] John Lott. Optimal transport and Ricci curvature for metric-measure spaces. Surveys in Differential Geometry XI (2007).
[7] Robert J. McCann. Polar factorization of maps on Riemannian manifolds. Geom. Funct. Anal., 11(3) :589–608, 2001. | MR | Zbl
[8] Yukio Otsu and Takashi Shioya. The Riemannian structure of Alexandrov spaces. J. Differential Geom., 39(3) :629–658, 1994. | MR | Zbl
[9] Karl-Theodor Sturm. On the geometry of metric measure spaces. I. Acta Math., 196(1) :65–131, 2006. | MR | Zbl
[10] Karl-Theodor Sturm. On the geometry of metric measure spaces. II. Acta Math., 196(1) :133–177, 2006. | MR | Zbl
[11] Cédric Villani. Topics in optimal transportation., volume 58 of Graduate Studies in Mathematics. American Mathematical Society, Providence, RI, 2003. | MR | Zbl
[12] Cédric Villani. Optimal transport, old and new (to appear).
[13] Guofang Wei. Manifolds with A Lower Ricci Curvature Bound. Surveys in Differential Geometry XI (2007).
[14] Shunhui Zhu. The comparison geometry of Ricci curvature. In Comparison geometry (Berkeley, CA, 1993–94), volume 30 of Math. Sci. Res. Inst. Publ., pages 221–262. Cambridge Univ. Press, Cambridge, 1997. | MR | Zbl
Cité par Sources :