01656nam0 22003491i 450 UON0032484420231205104155.86384-8156-280-720090625d2000 |0itac50 baspaES|||| 1||||ˆEl ‰arte mudéjarla estética islámica en el arte cristianoMuseo sin frontierasidea y concepción Eva Schubert[Madrid] : Electa Españac2000318 p.ill. ; 22 cmIn testa al front.: España Ciclo internacional de exposiciones Museo Sin Fronteras: El arte islámica en el arte cristiano.SpagnaUON00110314Dono Ministerio de Cultura de Madrid. Secretaría General TécnicaIT-UONSI SPAM/195001UON001103142001 ˆL'‰arte islamica nel MediterraneoCiclo internazionale di Mostre Museo Senza FrontiereSpagnaARCHITETTURA ISLAMICASpagnaUONC001338FIARTE ISLAMICASPAGNAUONC013448FIESMadridUONL000218ARA XIPAESI ARABI - ARCHITETTURA E URBANISTICAASCHUBERTEvaUONV185139Museo Senza FrontiereUONV035790ElectaUONV247129650ITSOL20240220RICASIBA - SISTEMA BIBLIOTECARIO DI ATENEOUONSIUON00324844SIBA - SISTEMA BIBLIOTECARIO DI ATENEOSI SPA M 195 SI LO 72663 5 195 Dono Ministerio de Cultura de Madrid. Secretaría General TécnicaArte Mudéjar878252UNIOR04243nam 22006135 450 991048456250332120251113194226.09783030415563303041556210.1007/978-3-030-41556-3(CKB)4100000011273706(MiAaPQ)EBC6212328(DE-He213)978-3-030-41556-3(PPN)248395033(MiAaPQ)EBC31886950(Au-PeEL)EBL31886950(OCoLC)1156611654(EXLCZ)99410000001127370620200527d2020 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierA Course on Rough Paths With an Introduction to Regularity Structures /by Peter K. Friz, Martin Hairer2nd ed. 2020.Cham :Springer International Publishing :Imprint: Springer,2020.1 online resource (354 pages) illustrationsUniversitext,2191-66759783030415556 3030415554 Includes bibliographical references and index.1 Introduction -- 2 The space of rough paths -- 3 Brownian motion as a rough path -- 4 Integration against rough paths -- 5 Stochastic integration and Itô’s formula -- 6 Doob–Meyer type decomposition for rough paths -- 7 Operations on controlled rough paths -- 8 Solutions to rough differential equations -- 9 Stochastic differential equations -- 10 Gaussian rough paths -- 11 Cameron–Martin regularity and applications -- 12 Stochastic partial differential equations -- 13 Introduction to regularity structures -- 14 Operations on modelled distributions -- 15 Application to the KPZ equation -- References -- Index.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.Universitext,2191-6675ProbabilitiesDifferential equationsProbability TheoryDifferential EquationsProbabilities.Differential equations.Probability Theory.Differential Equations.519.2519.22Friz Peter Kauthttp://id.loc.gov/vocabulary/relators/aut480232Hairer Martinauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910484562503321A Course on Rough Paths2052317UNINA