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1、LectureNotesinMathematics1839Editors:J.--M.Morel,CachanF.Takens,GroningenB.Teissier,Paris3BerlinHeidelbergNewYorkHongKongLondonMilanParisTokyoRolfGohmNoncommutativeStationaryProcesses13AuthorRolfGohmErnst-Moritz-ArndtUniversityofGreifswaldDepartmentofMathematicsandComputerScienceJahnstr.15a
2、17487GreifswaldGermanye-mail:gohm@uni-greifswald.deCataloging-in-PublicationDataappliedforBibliographicinformationpublishedbyDieDeutscheBibliothekDieDeutscheBibliothekliststhispublicationintheDeutscheNationalbibliografie;detailedbibliographicdataisavailableintheInternetathttp://dnb.ddb.deMa
3、thematicsSubjectClassification(2000):46L53,46L55,47B65,60G10,60J05ISSN0075-8434ISBN3-540-20926-3Springer-VerlagBerlinHeidelbergNewYorkThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustra
4、tions,recitation,broadcasting,reproductiononmicrofilmorinanyotherway,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer-Verlag.Viola
5、tionsareliableforprosecutionundertheGermanCopyrightLaw.Springer-VerlagisapartofSpringerScience+BusinessMediahttp://www.springeronline.comcSpringer-VerlagBerlinHeidelberg2004PrintedinGermanyTheuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,eveninth
6、eabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.Typesetting:Camera-readyTEXoutputbytheauthorsSPIN:1098374441/3142/du-543210-Printedonacid-freepaperPrefaceResearchonnoncommutativestationaryprocessesleadstoaninteresti
7、ngin-terplaybetweenoperatoralgebraicandprobabilistictopics.Thusitisalwaysaninvitationtoanexchangeofideasbetweendifferentfields.Weexploresomenewpathsintothisterritoryinthisbook.Thepresentationproceedsrathersystematicallyandelaboratesmanyconnectionstoalready