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Probabilistic approach to geometry. Proceedings of the 1st international conference, Kyoto, Japan, 28th July – 8th August, 2008. (English) Zbl 1190.60003

Advanced Studies in Pure Mathematics 57. Tokyo: Mathematical Society of Japan (MSJ) (ISBN 978-4-931469-58-7/hbk). 514 p. (2010).

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The articles of this volume will be reviewed individually.
Indexed articles:
Aida, Shigeki, Rough path analysis: an introduction, 1-28 [Zbl 1200.60043]
Arnaudon, Marc; Thalmaier, Anton, Li-Yau type gradient estimates and Harnack inequalities by stochastic analysis, 29-48 [Zbl 1201.58023]
Atsuji, Atsushi, Estimates on the number of the omitted values by meromorphic functions, 49-59 [Zbl 1201.32010]
Elworthy, K. David, Stochastic flows and geometric analysis on path spaces, 61-78 [Zbl 1210.58029]
Friedrich, Roland, The global geometry of stochastic Lœwner evolutions, 79-117 [Zbl 1198.82030]
Fukushima, Ryoki; Tanida, Atsushi; Yano, Kouji, Non-Markov property of certain eigenvalue processes analogous to Dyson’s model, 119-128 [Zbl 1200.60011]
Hara, Keisuke, Rough path conditions for smooth paths, 129-139 [Zbl 1203.26014]
Hattori, Tae; Kasue, Atsushi, Functions of finite Dirichlet sums and compactifications of infinite graphs, 141-153 [Zbl 1203.53033]
Inahama, Yuzuru, A note on rough differential equations with unbounded coefficients, 155-170 [Zbl 1203.60072]
Izeki, Hiroyasu, A fixed-point property of finitely generated groups and an energy of equivariant maps, 171-188 [Zbl 1201.58014]
Juillet, Nicolas, On a method to disprove generalized Brunn-Minkowski inequalities, 189-198 [Zbl 1216.28007]
Kaimanovich, Vadim A.; Sobieczky, Florian, Stochastic homogenization of horospheric tree products, 199-229 [Zbl 1203.37013]
Kajino, Naotaka, Remarks on non-diagonality conditions for Sierpinski carpets, 231-241 [Zbl 1202.28010]
Kato, Tsuyoshi, Pattern formation from projectively dynamical systems and iterations by families of maps, 243-262 [Zbl 1252.37059]
Kondo, Takefumi, Fixed-point theorems for random groups., 263-272 [Zbl 1239.20081]
Kuwada, Kazumasa, Couplings of the Brownian motion via discrete approximation under lower Ricci curvature bounds, 273-292 [Zbl 1204.58031]
Kuwae, Kazuhiro; Shioya, Takashi, Infinitesimal Bishop-Gromov condition for Alexandrov spaces, 293-302 [Zbl 1210.53041]
Matsuzoe, Hiroshi, Statistical manifolds and affine differential geometry, 303-321 [Zbl 1201.53011]
Ohta, Shin-ichi, Optimal transport and Ricci curvature in Finsler geometry, 323-342 [Zbl 1205.53080]
Ollivier, Yann, A survey of Ricci curvature for metric spaces and Markov chains, 343-381 [Zbl 1204.53035]
Pestov, Vladimir, Concentration of measure and whirly actions of Polish groups, 383-403 [Zbl 1213.37011]
Saloff-Coste, Laurent, The heat kernel and its estimates, 405-436 [Zbl 1201.58025]
Shigekawa, Ichiro, Non-symmetric diffusions on a Riemannian manifold, 437-461 [Zbl 1200.58024]
Takatsu, Asuka, On Wasserstein geometry of Gaussian measures, 463-472 [Zbl 1206.60016]
Watanabe, Sumio, A limit theorem in singular regression problem, 473-492 [Zbl 1210.62102]
Yano, Kouji, Two kinds of conditionings for stable Lévy processes, 493-503 [Zbl 1200.60039]
Yokota, Takumi, A gap theorem for ancient solutions to the Ricci flow, 505-514 [Zbl 1197.53086]

MSC:

60-06 Proceedings, conferences, collections, etc. pertaining to probability theory
34-06 Proceedings, conferences, collections, etc. pertaining to ordinary differential equations
58-06 Proceedings, conferences, collections, etc. pertaining to global analysis
20-06 Proceedings, conferences, collections, etc. pertaining to group theory
51-06 Proceedings, conferences, collections, etc. pertaining to geometry
00B25 Proceedings of conferences of miscellaneous specific interest
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