Differential Equations Driven by Rough Paths Ecole d’Eté de Probabilités de Saint-Flour XXXIV-2004

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...

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Detalles Bibliográficos
Autores principales: Lyons, Terry J. author (author), Caruana, Michael J. author, Lévy, Thierry. author
Autor Corporativo: École d'été de probabilités de Saint-Flour (-)
Formato: Libro electrónico
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg 2007.
Edición:1st ed. 2007.
Colección:École d'Été de Probabilités de Saint-Flour, 1908
Materias:
Ver en Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009786573506719
Descripción
Sumario: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.
Notas:Lecture given by Prof. Lyons at the 34th Probability Summer School in Saint-Flour; written with the help of Michael Caruana and Thierry Lévy.
Descripción Física:1 online resource (XVIII, 116 pages)
Bibliografía:Includes bibliographical references (pages [95]-99) and index.
ISBN:9781280853470
9786610853472
9783540712855