Asymptotic problems in probability theory : stochastic models and diffusions on fractals
著者
書誌事項
Asymptotic problems in probability theory : stochastic models and diffusions on fractals
(Pitman research notes in mathematics series, 283)
Longman Scientific & Technical , Copublished in the U.S. with J. Wiley, 1993
大学図書館所蔵 全57件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
"Proceedings of the Taniguchi International Symposium, Sanda and Kyoto, 1990"
"The twenty-sixth Taniguchi International Workshop was held at Sanda in Hyogo prefecture, Japan from August 31 through September 5, 1990 ... was followed by a symposium held in the Research Institute for Mathematical Science at Kyoto University from September 6 through September 8" -- Pref
Includes bibliographical references
内容説明・目次
内容説明
Part of the "Pitman Research Notes in Mathematics" series, this text consists of two sections, the first contains discussions of limiting behaviour for certain stochastic models, the second relates to analysis on fractals, including constructions of diffusion processes on fractals. Amongst the areas covered are the support of Wiener functionals, Hausdorff dimension of nonlinear Cantor sets and homogenization of reflecting barrier Brownian motions. The companion volume to this title, "Asymptomatic Problems in probability Theory: Wiener Functionals and Asymptomatics" is divided into a "theoretical" section on properties of Wiener functionals, including K. Ito's new approach to analysis on Wiener space, and a section on asymptomatics, especially large deviation results and asymptomatics in an infinite dimensional setting. The latter includes applications to specific examples such as Schrodinger operators and stochastic wave equations.
目次
- Limits for stochastic models: stochastic and quantum mechanical scattering on hyperbolic spaces, E.A. Carlen and K.D. Elsworthy
- intermittency and phase transitions from some particle systems in random media, R. Carmona and S.A. Molchanov
- predator-prey systems, R. Durrett
- homogenization of reflecting barrier Brownian motions, H. Osada
- nonlinear diffusion limit for a system with nearest neighbour interactions-II, S.R.S. Varadhan. Part 2 Analysis on fractals: random walks, electrical resistance, and nested fractals, M.R. Barlow
- Hausdorff dimension of nonlinear Cantor sets, K. Handa
- self-avoiding process on the Sierpinski gasket, K. Hatton
- harmonic metric and Dirichlet form on the Sierpinski gasket, J. Kigami
- construction and some properties of a class of non-symmetric diffusion processes on the Sierpinski gasket, T. Kumagai
- Brownian motion penetrating the Sierpinski gasket, T. Lindstrom
- the eigenvalue problem for the Laplacian on the Sierpinski gasket, T. Shima.
「Nielsen BookData」 より