03976nam 22006495 450 991036085130332120200630172441.03-030-29545-110.1007/978-3-030-29545-5(CKB)4100000009845173(DE-He213)978-3-030-29545-5(MiAaPQ)EBC5977101(PPN)241962390(EXLCZ)99410000000984517320191112d2019 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierSingular Random Dynamics [electronic resource] Cetraro, Italy 2016 /by Massimiliano Gubinelli, Panagiotis E. Souganidis, Nikolay Tzvetkov ; edited by Franco Flandoli, Massimiliano Gubinelli, Martin Hairer1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (IX, 316 p. 2 illus.) C.I.M.E. Foundation Subseries ;22533-030-29544-3 Includes bibliographical references.Written by leading experts in an emerging field, this book offers a unique view of the theory of stochastic partial differential equations, with lectures on the stationary KPZ equation, fully nonlinear SPDEs, and random data wave equations. This subject has recently attracted a great deal of attention, partly as a consequence of Martin Hairer's contributions and in particular his creation of a theory of regularity structures for SPDEs, for which he was awarded the Fields Medal in 2014. The text comprises three lectures covering: the theory of stochastic Hamilton–Jacobi equations, one of the most intriguing and rich new chapters of this subject; singular SPDEs, which are at the cutting edge of innovation in the field following the breakthroughs of regularity structures and related theories, with the KPZ equation as a central example; and the study of dispersive equations with random initial conditions, which gives new insights into classical problems and at the same time provides a surprising parallel to the theory of singular SPDEs, viewed from many different perspectives. These notes are aimed at graduate students and researchers who want to familiarize themselves with this new field, which lies at the interface between analysis and probability.C.I.M.E. Foundation Subseries ;2253ProbabilitiesPartial differential equationsDynamicsErgodic theoryProbability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Partial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Dynamical Systems and Ergodic Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M1204XProbabilities.Partial differential equations.Dynamics.Ergodic theory.Probability Theory and Stochastic Processes.Partial Differential Equations.Dynamical Systems and Ergodic Theory.519.2Gubinelli Massimilianoauthttp://id.loc.gov/vocabulary/relators/aut772568Souganidis Panagiotis Eauthttp://id.loc.gov/vocabulary/relators/autTzvetkov Nikolayauthttp://id.loc.gov/vocabulary/relators/autFlandoli Francoedthttp://id.loc.gov/vocabulary/relators/edtGubinelli Massimilianoedthttp://id.loc.gov/vocabulary/relators/edtHairer Martinedthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK9910360851303321Singular Random Dynamics2498784UNINA