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A Course on Rough Paths: With an Introduction to Regularity Structures (Universitext)

Peter K. Friz, Martin Hairer




[PDF.mb82] A Course on Rough Paths: With an Introduction to Regularity Structures (Universitext)

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 | #1782147 in Books |  2014-08-27 |  2014-08-27 | Original language:English | PDF # 1 |  9.25 x.63 x6.10l,.0 | File type: PDF | 251 pages

|| ||“The book under review is a concise introduction to the theory of rough paths, their applications in stochastic analysis, and to recent extensions allowing to handle stochastic partial differential equations. … It is easy to base a graduate cours

Lyons’ rough path analysis has provided new insights in the analysis of stochastic differential equations and stochastic partial differential equations, such as the KPZ equation. This textbook presents the first thorough and easily accessible introduction to rough path analysis.

When applied to stochastic systems, rough path analysis provides a means to construct a pathwise solution theory which, in many respects, behaves much like the theory of determinis...

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