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Differential Equations Driven by Rough Paths
Ecole dEté de Probabilités de Saint-Flour XXXIV-2004, Lecture Notes in Mathematics 1908 - École d'Été de Probabilités de Saint-Flour
ISBN/EAN: 9783540712848
Umbreit-Nr.: 1693254
Sprache:
Englisch
Umfang: xviii, 116 S., 3 s/w Illustr.
Format in cm:
Einband:
kartoniertes Buch
Erschienen am 07.05.2007
Auflage: 1/2007
- Zusatztext
- InhaltsangabeA Word About the Summer School.- Foreword.- Introduction.- 1.Differential Equations Driven by Moderately Irregular Signals.- 2.The Signature of a Path.- 3.Rough Paths.- 4.Integration along Rough Paths.- 5.Differential Equations Driven by Rough Paths.- References.- Index.
- Kurztext
- 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. The proofs are similar to those in the existing literature, but have been refined with the benefit of hindsight. The theory of rough paths aims to create the appropriate mathematical framework for expressing the relationships between evolving systems, by extending classical calculus to the natural models for noisy evolving systems, which are often far from differentiable.
- Autorenportrait
- InhaltsangabeDifferential Equations Driven by Moderately Irregular Signals.- The Signature of a Path.- Rough Paths.- Integration Along Rough Paths.- Differential Equations Driven by Rough Paths.