LEADER 04369nam 22006855 450 001 9910299967303321 005 20250609110740.0 010 $a3-319-08332-5 024 7 $a10.1007/978-3-319-08332-2 035 $a(CKB)3710000000227351 035 $a(SSID)ssj0001338678 035 $a(PQKBManifestationID)11704396 035 $a(PQKBTitleCode)TC0001338678 035 $a(PQKBWorkID)11338077 035 $a(PQKB)11358154 035 $a(DE-He213)978-3-319-08332-2 035 $a(MiAaPQ)EBC5587772 035 $a(Au-PeEL)EBL5587772 035 $a(OCoLC)890462092 035 $a(PPN)180627139 035 $a(MiAaPQ)EBC1802580 035 $a(EXLCZ)993710000000227351 100 $a20140826d2014 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 12$aA Course on Rough Paths $eWith an Introduction to Regularity Structures /$fby Peter K. Friz, Martin Hairer 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (XIV, 251 p. 2 illus.) 225 1 $aUniversitext,$x0172-5939 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a3-319-08331-7 327 $aIntroduction -- The space of rough paths -- Brownian motion as a rough path -- Integration against rough paths -- Stochastic integration and It?o?s formula -- Doob?Meyer type decomposition for rough paths -- Operations on controlled rough paths -- Solutions to rough differential equations -- Stochastic differential equations -- Gaussian rough paths -- Cameron?Martin regularity and applications -- Stochastic partial differential equations -- Introduction to regularity structures -- Operations on modelled distributions -- Application to the KPZ equation. 330 $aLyons? rough path analysis has provided new insights in the analysis of stochastic differential equations and stochastic partial differential equations, such as the KPZ equation. This textbook presents the first thorough and easily accessible introduction to rough path analysis. When applied to stochastic systems, rough path analysis provides a means to construct a pathwise solution theory which, in many respects, behaves much like the theory of deterministic differential equations and provides a clean break between analytical and probabilistic arguments. It provides a toolbox allowing to recover many classical results without using specific probabilistic properties such as predictability or the martingale property. The study of stochastic PDEs has recently led to a significant extension ? the theory of regularity structures ? and the last parts of this book are devoted to a gentle introduction. Most of this course is written as an essentially self-contained textbook, with an emphasis on ideas and short arguments, rather than pushing for the strongest possible statements. A typical reader will have been exposed to upper undergraduate analysis courses and has some interest in stochastic analysis. For a large part of the text, little more than Itô integration against Brownian motion is required as background. 410 0$aUniversitext,$x0172-5939 606 $aProbabilities 606 $aDifferential equations 606 $aDifferential equations, Partial 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 606 $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 615 0$aProbabilities. 615 0$aDifferential equations. 615 0$aDifferential equations, Partial. 615 14$aProbability Theory and Stochastic Processes. 615 24$aOrdinary Differential Equations. 615 24$aPartial Differential Equations. 676 $a519.2 700 $aFriz$b Peter K$4aut$4http://id.loc.gov/vocabulary/relators/aut$0480232 702 $aHairer$b Martin$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299967303321 996 $aA Course on Rough Paths$92052317 997 $aUNINA LEADER 05039nam 22008293u 450 001 9911019999903321 005 20250204110101.0 010 $a9781118475539 010 $a1118475534 010 $a9781118475522 010 $a1118475526 035 $a(CKB)2670000000336489 035 $a(EBL)1116230 035 $a(SSID)ssj0000819438 035 $a(PQKBManifestationID)11410947 035 $a(PQKBTitleCode)TC0000819438 035 $a(PQKBWorkID)10844703 035 $a(PQKB)11485318 035 $a(PPN)178263990 035 $a(OCoLC)812729659 035 $a(MiFhGG)9781118490280 035 $a(Perlego)1002620 035 $a(EXLCZ)992670000000336489 100 $a20131014d2013|||| u|| | 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aAnthropology in the Public Arena $eHistorical and Contemporary Contexts 210 $aHoboken $cWiley$d2013 215 $a1 online resource (342 p.) 300 $aDescription based upon print version of record. 311 08$a9781118475478 311 08$a111847547X 327 $aCover; Title page; Copyright page; Dedication; Epigraph; Acknowledgments; 1 Beating the Bounds of Discipline? Innovation at the Margins and Beyond; Anthropology for Beginners; Past Imperfect, Present Tense; Bring Out Your Dead; Sketching a History of Anthropology, Popular or Otherwise; Anthropology Foxed; Anthropology Netted, and Other Pagan Practice; Contrasts, Continuities; 2 John Layard, "Study of a Failure": An Innovative Integrated Approach from the Psychoanalyst; A Life; Stone Men; Diffusing Jung; The Psyche in British Academic Society 327 $a3 Geoffrey Gorer, "Britain's Margaret Mead": Blending Anthropology and TravelogueA Life; Africa Sells, Bali Too; Low Living on High Ground? Gorer Does Fieldwork; Allying Anthropology and Neo-Freudianism for the Allies; Keeping Busy; Gorer, Mead, Love, Sex; How to Straddle the Academic and the Popular, Mead-Style; Kinship at the Core: Gorer's Relations with British Anthropologists; Gorer Lives?; 4 Robert Graves: Empowering Anthropological Modes of Explanation in Myth and Ritual; A Life; Rivers, Graves, the Trenches, the Underworld; Goddesses, Muses, and Other Modes of Thought 327 $aMagic, Witchcraft, and Other Gravesian Modes of ThoughtAnthropologica; Academe, the Poet, and the Popular; The Perils of Collaborating with Charisma; Anthropologists, Academic and Otherwise; Of the Poker- and the Po-Faced: Graves, His Critics, and His Co-Believers; 5 Mass Observation: A Radical, Popular Ethnography of the People, by the People, and for the People; A Democratic Surrealism; A Day in the Life; Going Bush in Bolton; Observing Mass Observation; Assessing Mass Observation; From MO to PoMo; 6 The Literary Image of the Anthropologist; A Note on Terminology, and a Caveat; Character 327 $aFieldworkFunction; No Time for a Conclusion?; 7 Parting Comments: Public Interest, Multiple Anthropologies; Bibliography; Archives; Interviews; Books, Articles; Index 330 $a This articulate and authoritative survey of both the popular and academic trends in anthropology demonstrates the broad relevance of anthropological knowledge and argues for a more inclusive conception of the discipline that engages the public imagination. 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