A Course on Rough Paths

Name: A Course on Rough Paths
Brand: Springer, Berlin
SKU: 9783030415556
Price: 250.4 PLN
Availability: InStock

With an Introduction to Regularity Structures

Autor: Peter K. Friz, Martin Hairer

Język:

Oprawa: Miękka

Wydawca: Springer, Berlin

Dostępność: Dostępna u dostawcy

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With many updates and additional exercises, the second edition of this book continues to provide rea...

Informacje o książce

Autor

Peter K. Friz, Martin Hairer

Język

Angielski

Oprawa

Książka - Miękka

Data wydania

2020

strony

346

EAN

9783030415556

Enbook ID

25610042

Wydawca

Springer, Berlin

Waga

557

Wymiary

157 x 21 x 20

Pełny opis

With many updates and additional exercises, the second edition of this book continues to provide readers with a gentle introduction to rough path analysis and regularity structures, theories that have yielded many new insights into the analysis of stochastic differential equations, and, most recently, stochastic partial differential equations. Rough path analysis provides the means for constructing a pathwise solution theory for stochastic differential equations which, in many respects, behaves like the theory of deterministic differential equations and permits a clean break between analytical and probabilistic arguments. Together with the theory of regularity structures, it forms a robust toolbox, allowing the recovery of many classical results without having to rely on specific probabilistic properties such as adaptedness or the martingale property. Essentially self-contained, this textbook puts the emphasis on ideas and short arguments, rather than aiming for the strongest possible statements. A typical reader will have been exposed to upper undergraduate analysis and probability courses, with little more than Itô-integration against Brownian motion required for most of the text. From the reviews of the first edition: "Can easily be used as a support for a graduate course ... Presents in an accessible way the unique point of view of two experts who themselves have largely contributed to the theory" - Fabrice Baudouin in the Mathematical Reviews "It is easy to base a graduate course on rough paths on this ... A researcher who carefully works her way through all of the exercises will have a very good impression of the current state of the art" - Nicolas Perkowski in Zentralblatt MATH

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