Probabilistic approach to geometry / edited by Motoko Kotani, Masanori Hino, Takashi Kumagai.

Format:

Book

Contributor:

Kotani, Motoko, 1960-

Hino, Masanori, 1971-

Kumagai, Takashi, 1967-

Nihon Sūgakkai. Kiki Kenkyūjo.

Series:

Advanced studies in pure mathematics (Tokyo, Japan) ; 57.

Advanced studies in pure mathematics ; 57

Language:

English

Subjects (All):

Geometry--Congresses.

Geometry.

Probabilities--Congresses.

Probabilities.

Genre:

Conference papers and proceedings.

Physical Description:

514 pages : illustrations ; 24 cm.

Place of Publication:

Tokyo : Mathematical Society of Japan, [2010]

Contents:

Rough path analysis: An introduction / Shigeki Aida Aida, Shigeki 1

Li-Yau type gradient estimates and Harnack inequalities by stochastic analysis / Marc Arnaudon Arnaudon, Marc, Anton Thalmaier Thalmaier, Anton 29

Estimates on the number of the omitted values by meromorphic functions / Atsushi Atsuji Atsuji, Atsushi 49

Stochastic flows and geometric analysis on path spaces / K. David Elworthy Elworthy, K. David 61

The global geometry of stochastic Lcewner evolutions / Roland Friedrich Friedrich, Roland 79

Non-Markov property of certain eigenvalue processes analogous to Dyson's model / Ryoki Fukushima Fukushima, Ryoki, Atsushi Tanida Tanida, Atsushi, Kouji Yano Yano, Kouji 119

Rough path conditions for smooth paths / Keisuke Hara Hara, Keisuke 129

Functions of finite Dirichlet sums and compactifications of infinite graphs / Tae Hattori Hattori, Tae, Atsushi Kasue Kasue, Atsushi 141

A note on rough differential equations with unbounded coefficients / Yuzuru Inahama Inahama, Yuzuru 155

A fixed-point property of finitely generated groups and an energy of equivariant maps / Hiroyasu Izeki Izeki, Hiroyasu 171

On a method to disprove generalized Brunn-Minkowski inequalities / Nicolas Juillet Juillet, Nicolas 189

Stochastic ho-mogenization of horospheric tree products / Vadim A. Kaimanovich Kaimanovich, Vadim A., Florian Sobieczky Sobieczky, Florian 199

Remarks on non-diagonality conditions for Sier-pinski carpets / Naotaka Kajino Kajino, Naotaka 231

Pattern formation from projectively dynamical systems and iterations by families of maps / Tsuyoshi Kato Kato, Tsuyoshi 243

Fixed-point theorems for random groups / Takefumi Kondo Kondo, Takefumi 263

Couplings of the Brownian motion via discrete approximation under lower Ricci curvature bounds / Kazumasa Kuwada Kuwada, Kazumasa 273

Infinitesimal Bishop-Gromov condition for Alexandrov spaces / Kazuhiro Kuwae Kuwae, Kazuhiro, Takashi Shioya Shioya, Takashi 293

Statistical manifolds and affine differential geometry / Hiroshi Matsuzoe Matsuzoe, Hiroshi 303

Optimal transport and Ricci curvature in Finsler geometry / Shin-ichi Ohta Ohta, Shin-ichi 323

A survey of Ricci curvature for metric spaces and Markov chains / Yann Ollivier Ollivier, Yann 343

Concentration of measure and whirly actions of Polish groups / Vladimir Pestov Pestov, Vladimir 383

The heat kernel and its estimates / Laurent Saloff-Coste Saloff-Coste, Laurent 405

Non-symmetric diffusions on a Riemannian manifold / Ichiro Shigekawa Shigekawa, Ichiro 437

On Wasserstein geometry of Gaussian measures / Asuka Takatsu Takatsu, Asuka 463

A limit theorem in singular regression problem / Sumio Watanabe Watanabe, Sumio 473

Two kinds of conditionings for stable Levy processes / Kouji Yano Yano, Kouji 493

A gap theorem for ancient solutions to the Ricci flow / Takumi Yokota Yokota, Takumi 505.

Notes:

"This volume is the product of the first conference of the Seasonal Institute of the Mathematical Society of Japan titled, 'Probabilistic approach to geometry' 28th July 2008-8th August 2008, Kyoto University, Japan."--Pref.

Includes bibliographical references (pages 502-503).

ISBN:

9784931469587

4931469582

OCLC:

609750801