Fractal Geometry and Analysis (Nato Science Series C:)

Belair, Jacques; Dubuc, Serge

ISBN 10: 0792313992 / ISBN 13: 9780792313991

Verlag: Kluwer Academic Publishers, 1991

Beschreibung

Hardcover. No jacket, as issued. Sticker on front cover. Inside pages are clean and unmarked.

Bestandsnummer des Verkäufers 94

Bibliografische Details

• Titel: Fractal Geometry and Analysis (Nato Science Series C:)
• Verlag: Kluwer Academic Publishers
• Erscheinungsjahr: 1991
• Sprache: Englisch
• ISBN-10: 0792313992
• ISBN-13: 9780792313991
• Einband: Hardcover
• Auflage: 1st Edition
• Zustand: Near Fine

Über diesen Titel

Inhaltsangabe

This ASI- which was also the 28th session of the Seminaire de mathematiques superieures of the Universite de Montreal - was devoted to Fractal Geometry and Analysis. The present volume is the fruit of the work of this Advanced Study Institute. We were fortunate to have with us Prof. Benoit Mandelbrot - the creator of numerous concepts in Fractal Geometry - who gave a series of lectures on multifractals, iteration of analytic functions, and various kinds of fractal stochastic processes. Different foundational contributions for Fractal Geometry like measure theory, dy­ namical systems, iteration theory, branching processes are recognized. The geometry of fractal sets and the analytical tools used to investigate them provide a unifying theme of this book. The main topics that are covered are then as follows. Dimension Theory. Many definitions of fractional dimension have been proposed, all of which coincide on "regular" objects, but often take different values for a given fractal set. There is ample discussion on piecewise estimates yielding actual values for the most common dimensions (Hausdorff, box-counting and packing dimensions). The dimension theory is mainly discussed by Mendes-France, Bedford, Falconer, Tricot and Rata. Construction of fractal sets. Scale in variance is a fundamental property of fractal sets.