LEADER 03974nam 22006495 450 001 996466671403316 005 20200630172441.0 010 $a3-030-29545-1 024 7 $a10.1007/978-3-030-29545-5 035 $a(CKB)4100000009845173 035 $a(DE-He213)978-3-030-29545-5 035 $a(MiAaPQ)EBC5977101 035 $a(PPN)241962390 035 $a(EXLCZ)994100000009845173 100 $a20191112d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSingular Random Dynamics $b[electronic resource] $eCetraro, Italy 2016 /$fby Massimiliano Gubinelli, Panagiotis E. Souganidis, Nikolay Tzvetkov ; edited by Franco Flandoli, Massimiliano Gubinelli, Martin Hairer 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (IX, 316 p. 2 illus.) 225 1 $aC.I.M.E. Foundation Subseries ;$v2253 311 $a3-030-29544-3 320 $aIncludes bibliographical references. 330 $aWritten by leading experts in an emerging field, this book offers a unique view of the theory of stochastic partial differential equations, with lectures on the stationary KPZ equation, fully nonlinear SPDEs, and random data wave equations. This subject has recently attracted a great deal of attention, partly as a consequence of Martin Hairer's contributions and in particular his creation of a theory of regularity structures for SPDEs, for which he was awarded the Fields Medal in 2014. The text comprises three lectures covering: the theory of stochastic Hamilton?Jacobi equations, one of the most intriguing and rich new chapters of this subject; singular SPDEs, which are at the cutting edge of innovation in the field following the breakthroughs of regularity structures and related theories, with the KPZ equation as a central example; and the study of dispersive equations with random initial conditions, which gives new insights into classical problems and at the same time provides a surprising parallel to the theory of singular SPDEs, viewed from many different perspectives. These notes are aimed at graduate students and researchers who want to familiarize themselves with this new field, which lies at the interface between analysis and probability. 410 0$aC.I.M.E. Foundation Subseries ;$v2253 606 $aProbabilities 606 $aPartial differential equations 606 $aDynamics 606 $aErgodic theory 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 615 0$aProbabilities. 615 0$aPartial differential equations. 615 0$aDynamics. 615 0$aErgodic theory. 615 14$aProbability Theory and Stochastic Processes. 615 24$aPartial Differential Equations. 615 24$aDynamical Systems and Ergodic Theory. 676 $a519.2 700 $aGubinelli$b Massimiliano$4aut$4http://id.loc.gov/vocabulary/relators/aut$0772568 702 $aSouganidis$b Panagiotis E$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aTzvetkov$b Nikolay$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aFlandoli$b Franco$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aGubinelli$b Massimiliano$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aHairer$b Martin$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466671403316 996 $aSingular Random Dynamics$92498784 997 $aUNISA