The First Mathematical Society of Japan–Seasonal Institute — Probabilistic Approach to Geometry
July 28–August 8, 2008 | Kyoto University, Japan
Probabilistic Approach to Geometry

Editor(s) Motoko Kotani, Masanori Hino, Takashi Kumagai

Adv. Stud. Pure Math., 57: 514pp. (2010). DOI: 10.2969/aspm/05710000
TABLE OF CONTENTS
View All Abstracts +
Advanced Studies in Pure Mathematics Vol. 57, - (2010). Open Access
Advanced Studies in Pure Mathematics Vol. 57, - (2010). Open Access
Motoko Kotani , Masanori Hino , Takashi Kumagai
Advanced Studies in Pure Mathematics Vol. 57, - (2010). Open Access
Advanced Studies in Pure Mathematics Vol. 57, - (2010). Open Access
Advanced Studies in Pure Mathematics Vol. 57, - (2010). Open Access
Shigeki Aida
Advanced Studies in Pure Mathematics Vol. 57, 1-28 (2010). https://doi.org/10.2969/aspm/05710001 Open Access
KEYWORDS: Rough path, stochastic differential equation, 34F05, 60H05, 60H10, 93E03
Marc Arnaudon , Anton Thalmaier
Advanced Studies in Pure Mathematics Vol. 57, 29-48 (2010). https://doi.org/10.2969/aspm/05710029 Open Access
KEYWORDS: Heat equation, Ricci curvature, Li–Yau inequality, Harnack inequality, gradient bound, Brownian motion, 58J65, 60H30
Atsushi Atsuji
Advanced Studies in Pure Mathematics Vol. 57, 49-59 (2010). https://doi.org/10.2969/aspm/05710049 Open Access
KEYWORDS: Nevanlinna theory, Brownian motion on Kähler manifolds, Kähler diffusion, value distribution theory, meromorphic functions, 32H30, 58J65
K. David Elworthy
Advanced Studies in Pure Mathematics Vol. 57, 61-78 (2010). https://doi.org/10.2969/aspm/05710061 Open Access
KEYWORDS: Path space, stochastic analysis, diffeomorphism group, $L^2$ Hodge Theory, Malliavin calculus, Banach manifold, differential forms, curvature, Weitzenböck, symmetric space, Bismut formulae, 58B10, 58J65, 58A14, 60H07, 60H10, 53C17, 58D20, 58B15
Roland Friedrich
Advanced Studies in Pure Mathematics Vol. 57, 79-117 (2010). https://doi.org/10.2969/aspm/05710079 Open Access
KEYWORDS: Complex variables, stochastic analysis, Conformal Field Theory, 82B99, 32C99, 60J99, 81T40
Ryoki Fukushima , Atsushi Tanida , Kouji Yano
Advanced Studies in Pure Mathematics Vol. 57, 119-128 (2010). https://doi.org/10.2969/aspm/05710119 Open Access
KEYWORDS: Non-Markov property, random matrix, eigenvalue process, Dyson's model, beta-ensembles, 15A52, 60-06, 60J65, 60J99
Keisuke Hara
Advanced Studies in Pure Mathematics Vol. 57, 129-139 (2010). https://doi.org/10.2969/aspm/05710129 Open Access
KEYWORDS: Rough path, Fourier transform, 26A45, 42A20
Tae Hattori , Atsushi Kasue
Advanced Studies in Pure Mathematics Vol. 57, 141-153 (2010). https://doi.org/10.2969/aspm/05710141 Open Access
KEYWORDS: Dirichlet sum of order $p$, Royden compactification, quasi isometry, 53C21, 58D17, 58J50
Yuzuru Inahama
Advanced Studies in Pure Mathematics Vol. 57, 155-170 (2010). https://doi.org/10.2969/aspm/05710155 Open Access
KEYWORDS: Rough path, stochastic differential equation, 60B12, 58J65, 60J15
Hiroyasu Izeki
Advanced Studies in Pure Mathematics Vol. 57, 171-188 (2010). https://doi.org/10.2969/aspm/05710171 Open Access
KEYWORDS: Fixed-point property, finitely generated groups, harmonic maps, 58E20, 20F65
Nicolas Juillet
Advanced Studies in Pure Mathematics Vol. 57, 189-198 (2010). https://doi.org/10.2969/aspm/05710189 Open Access
KEYWORDS: Brunn–Minkowski inequality, curvature-dimension, optimal transport, Heisenberg group, Grušin plane, 28A75, 53C17
Vadim A. Kaimanovich , Florian Sobieczky
Advanced Studies in Pure Mathematics Vol. 57, 199-229 (2010). https://doi.org/10.2969/aspm/05710199 Open Access
KEYWORDS: Horospheric product, random tree, branching process, graphed equivalence relation, stochastic homogenization, amenability, 37A20, 05C80, 43A07, 60J80
Naotaka Kajino
Advanced Studies in Pure Mathematics Vol. 57, 231-241 (2010). https://doi.org/10.2969/aspm/05710231 Open Access
KEYWORDS: Generalized Sierpinski carpet, non-diagonality, volume doubling property, self-similar measure, 28A80, 31C25, 60J45
Tsuyoshi Kato
Advanced Studies in Pure Mathematics Vol. 57, 243-262 (2010). https://doi.org/10.2969/aspm/05710243 Open Access
KEYWORDS: Scale transform, Tropical geometry, discrete dynamical systems, 37E, 39A
Takefumi Kondo
Advanced Studies in Pure Mathematics Vol. 57, 263-272 (2010). https://doi.org/10.2969/aspm/05710263 Open Access
KEYWORDS: Fixed-point property, random groups, CAT(0) space, 20F67, 20F69, 20P05
Kazumasa Kuwada
Advanced Studies in Pure Mathematics Vol. 57, 273-292 (2010). https://doi.org/10.2969/aspm/05710273 Open Access
KEYWORDS: Coupling by reflection, synchronous coupling, Ricci curvature, gradient estimate, 60D05, 60H30, 58J65
Kazuhiro Kuwae , Takashi Shioya
Advanced Studies in Pure Mathematics Vol. 57, 293-302 (2010). https://doi.org/10.2969/aspm/05710293 Open Access
KEYWORDS: Ricci curvature, Bishop–Gromov inequality, 53C20, 53C21, 53C23
Hiroshi Matsuzoe
Advanced Studies in Pure Mathematics Vol. 57, 303-321 (2010). https://doi.org/10.2969/aspm/05710303 Open Access
KEYWORDS: Statistical manifold, affine differential geometry, information geometry, semi-Weyl manifold, affine distribution, 53A15, 53A30, 53B05, 62B10, 81Q70
Shin-ichi Ohta
Advanced Studies in Pure Mathematics Vol. 57, 323-342 (2010). https://doi.org/10.2969/aspm/05710323 Open Access
KEYWORDS: Finsler geometry, optimal transport, Ricci curvature, comparison theorem, 53C60, 49Q20, 58J35
Yann Ollivier
Advanced Studies in Pure Mathematics Vol. 57, 343-381 (2010). https://doi.org/10.2969/aspm/05710343 Open Access
KEYWORDS: Ricci curvature, concentration of measure, Markov chains, Wasserstein distances, metric measure spaces, 51F99, 53B21, 60B99
Vladimir Pestov
Advanced Studies in Pure Mathematics Vol. 57, 383-403 (2010). https://doi.org/10.2969/aspm/05710383 Open Access
KEYWORDS: Concentration of measure on high-dimensional structures, Polish groups, greatest ambit, Lévy groups, invariant measures, whirly actions, groups of measure-preserving transformations, 37A15, 37B05, 43A05
Laurent Saloff-Coste
Advanced Studies in Pure Mathematics Vol. 57, 405-436 (2010). https://doi.org/10.2969/aspm/05710405 Open Access
KEYWORDS: Heat kernel, Brownian motion, uniform domains, 58J65, 60J65, 35K05
Ichiro Shigekawa
Advanced Studies in Pure Mathematics Vol. 57, 437-461 (2010). https://doi.org/10.2969/aspm/05710437 Open Access
KEYWORDS: Non-symmetric diffusion, Riemannian manifold, maximal dissipative operator, generator domain, 58J65, 60J60, 35P15
Asuka Takatsu
Advanced Studies in Pure Mathematics Vol. 57, 463-472 (2010). https://doi.org/10.2969/aspm/05710463 Open Access
KEYWORDS: Wasserstein space, Gaussian measures, 60D05, 28A33
Sumio Watanabe
Advanced Studies in Pure Mathematics Vol. 57, 473-492 (2010). https://doi.org/10.2969/aspm/05710473 Open Access
KEYWORDS: Singular regression, real log canonical threshold, singular fluctuation, resolution of singularities, generalization error, 60D05
Kouji Yano
Advanced Studies in Pure Mathematics Vol. 57, 493-503 (2010). https://doi.org/10.2969/aspm/05710493 Open Access
KEYWORDS: Stable process, conditioning to stay positive, harmonic transform, meander, excursion theory, 60G52, 60F05, 60G17
Takumi Yokota
Advanced Studies in Pure Mathematics Vol. 57, 505-514 (2010). https://doi.org/10.2969/aspm/05710505 Open Access
KEYWORDS: Ricci flow, reduced volume, asymptotic volume ratio, gradient Ricci soliton, 53C21
Back to Top