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基本説明
マンデルブロー待望の新刊のテーマは、分数ブラウン運動研究です。各論文の前には、本書のために、特に入門向け解説が付いています。
Contents: Advances in Old But Open Topics; Broad Continuing Issues; Introductions from the 1960s; Fractional Brownian Motions; Fractional Brownian Surfaces; Self-Affine Cartoons in Grids; R/S Analysis and Its Uses.
Full Description
This third volume of the Selected Works focusses on a detailed study of fraction Brownian motions. The fractal themes of "self-affinity" and "globality" are presented, while extensive introductory material, written especially for this book, precedes the papers and presents a number of striking new observations and conjectures. The mathematical tools so discussed will be valuable to diverse scientific communities.
Contents
Advances in Old But Open Topics * Broad Continuing Issues * Introductions from the 1960s * Fractional Brownian Motions * Fractional Brownian Surfaces * Self-Affine Cartoons in Grids; Their Multiple Fractal Dimensions * R/S Analysis and Its Uses