2007年9月1日
ネットワーク動力学における大偏差, Gibbs測度および位相共役変換
Forma
ダウンロード
回数 : 39
- 巻
- 22
- 号
- 2
- 開始ページ
- 141
- 終了ページ
- 155
- 記述言語
- 英語
- 掲載種別
- 出版者・発行元
- Society for Science on Form, Japan
A chaotic piecewise linear map whose statistical properties are identical to those of a random walk on directed graphs such as the world wide web (WWW) is constructed, and the dynamic quantity is analyzed in the framework of large deviation statistics. Gibbs measures include the weight factor appearing in the weighted average of the dynamic quantity, which can also quantitatively measure the importance of web sites. Currently used levels of importance in the commercial search engines are independent of search terms, which correspond to the stationary visiting frequency of each node obtained from a random walk on the network or equivalent chaotic dynamics. Levels of importance based on the Gibbs measure depend on each search term which is specified by the searcher. The topological conjugate transformation between one dynamical system with a Gibbs measure and another dynamical system whose standard invariant probability measure is identical to the Gibbs measure is also discussed.
- リンク情報
-
- CiNii Articles
- http://ci.nii.ac.jp/naid/10026050926
- CiNii Books
- http://ci.nii.ac.jp/ncid/AA11297304
- URL
- http://hdl.handle.net/2433/255384
- ID情報
-
- ISSN : 0911-6036
- CiNii Articles ID : 10026050926
- CiNii Books ID : AA11297304
- identifiers.cinii_nr_id : 1000050284170