Probabilistic Approach to Geometry

Motoko Kotani, Masanori Hino, and Takashi Kumagai, editors

Publisher:

Mathematical Society of Japan

Publication Date:

2010

Number of Pages:

514

Format:

Hardcover

Series:

Advanced Studies in Pure Mathematics 57

Price:

98.00

ISBN:

9784931469587

Category:

Proceedings

MAA Review
Table of Contents

We do not plan to review this book.

S. Aida -- Rough path analysis: An introduction
M. Arnaudon and A. Thalmaier -- Li-Yau type gradient estimates and Harnack inequalities by stochastic analysis
A. Atsuji -- Estimates on the number of the omitted values by meromorphic functions
K. D. Elworthy -- Stochastic flows and geometric analysis on path spaces
R. Friedrich -- The global geometry of stochastic Lœwner evolutions
R. Fukushima, A. Tanida, and K. Yano -- Non-Markov property of certain eigenvalue processes analogous to Dyson's model
K. Hara -- Rough path conditions for smooth paths
T. Hattori and A. Kasue -- Functions of finite Dirichlet sums and compactifications of infinite graphs
Y. Inahama -- A note on rough differential equations with unbounded coefficients
H. Izeki -- A fixed-point property of finitely generated groups and an energy of equivariant maps
N. Juillet -- On a method to disprove generalized Brunn-Minkowski inequalities
V. A. Kaimanovich and F. Sobieczky -- Stochastic homogenization of horospheric tree products
N. Kajino -- Remarks on non-diagonality conditions for Sierpinski carpets
T. Kato -- Pattern formation from projectively dynamical systems and iterations by families of maps
T. Kondo -- Fixed-point theorems for random groups
K. Kuwada -- Couplings of the Brownian motion via discrete approximation under lower Ricci curvature bounds
K. Kuwae and T. Shioya -- Infinitesimal Bishop-Gromov condition for Alexandrov spaces
H. Matsuzoe -- Statistical manifolds and affine differential geometry
S. Ohta -- Optimal transport and Ricci curvature in Finsler geometry
Y. Ollivier -- A survey of Ricci curvature for metric spaces and Markov chains
V. Pestov -- Concentration of measure and whirly actions of Polish groups
L. Saloff-Coste -- The heat kernel and its estimates
I. Shigekawa -- Non-symmetric diffusions on a Riemannian manifold
A. Takatsu -- On Wasserstein geometry of Gaussian measures
S. Watanabe -- A limit theorem in singular regression problem
K. Yano -- Two kinds of conditionings for stable Lévy processes
T. Yokota -- A gap theorem for ancient solutions to the Ricci flow