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1、StochasticMechanicsStochasticModellingRandomMediaandAppliedProbabilitySignalProcessing(Formerly:andImageSynthesisApplicationsofMathematics)MathematicalEconomicsandFinanceStochasticOptimizationStochasticControl61StochasticModelsinLifeSciencesEditedbyB.Rozovski˘ıG.GrimmettAdvisoryBoardD.DawsonD.Gema
2、nI.KaratzasF.KellyY.LeJanB.ØksendalG.PapanicolaouE.PardouxHuyênPhamContinuous-timeStochasticControlandOptimizationwithFinancialApplicationsHuyênPhamUniversitéParis7-DenisDiderotUFRMathématiquesSiteChevaleret,Case701275202ParisCedex13Francepham@math.jussieu.frManagingEditorsBorisRozovski˘ıGeoffreyG
3、rimmettDivisionofAppliedMathematicsCentreforMathematicalSciencesBrownUniversityUniversityofCambridge182GeorgeStWilberforceRoadProvidence,RI02912CambridgeCB30WBUSAUKrozovsky@dam.brown.edug.r.grimmett@statslab.cam.ac.ukISSN0172-4568ISBN978-3-540-89499-5e-ISBN978-3-540-89500-8DOI10.1007/978-3-540-895
4、00-8SpringerDordrechtHeidelbergLondonNewYorkLibraryofCongressControlNumber:2009926070MathematicsSubjectClassification(2000):93E20,91B28,49L20,49L25,60H30cSpringer-VerlagBerlinHeidelberg2009Thisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallyth
5、erightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicrofilmorinanyotherway,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustal
6、waysbeobtainedfromSpringer.ViolationsareliabletoprosecutionundertheGermanCopyrightLaw.Theuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreefo
7、rgeneraluse.Coverdesign:deblikPrintedonacid-freepaperSpringerispartofSpringerScience+BusinessMedia(www.springer.com)ToChˆau,HugoandAntoinePrefaceDynamicstochasticoptimizationisthestudyofdynamicalsystemssubjecttor