Differential equations driven by rough paths

書誌事項

Differential equations driven by rough paths

Terry J. Lyons, Michael Caruana, Thierry Lévy

(Lecture notes in mathematics, 1908 . École d'été de probabilités de Saint-Flour / editor, Jean Picard ; 34-2004)

Springer, c2007

タイトル別名

Differential equations driven by rough paths, St. Flour 2004

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注記

Includes bibliographical references (p. [95]-99) and index

内容説明・目次

内容説明

Each year young mathematicians congregate in Saint Flour, France, and listen to extended lecture courses on new topics in Probability Theory. The goal of these notes, representing a course given by Terry Lyons in 2004, is to provide a straightforward and self supporting but minimalist account of the key results forming the foundation of the theory of rough paths.

目次

Differential Equations Driven by Moderately Irregular Signals.- The Signature of a Path.- Rough Paths.- Integration Along Rough Paths.- Differential Equations Driven by Rough Paths.

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