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1、LectureNotesinMathematics1885Editors:J.-M.Morel,CachanF.Takens,GroningenB.Teissier,ParisAndrasTelcs´TheArtofRandomWalksABCAuthorAndrsTelcsáDepartmentofComputerScienceandInformationTheoryBudapestUniversityofTechnologyElectricalEngineeringandInformaticsMagyartudósokkörútja2,1117Budape
2、stHungarye-mail:telcs@szit.bme.huLibraryofCongressControlNumber:2006922866MathematicsSubjectClassification(2000):60J10,60J45,35K05ISSNprintedition:0075-8434ISSNelectronicedition:1617-9692ISBN-103-540-33027-5SpringerBerlinHeidelbergNewYorkISBN-13978-3-540-33027-1SpringerBerlinHeidelbe
3、rgNewYorkDOI10.1007/b134090Thisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicrofilmorinanyotherway,andstorageindatabanks.Duplicatio
4、nofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.ViolationsareliableforprosecutionundertheGermanCopyrightLaw.SpringerisapartofSpringerScience+BusinessMedi
5、aspringer.comcSpringer-VerlagBerlinHeidelberg2006PrintedinTheNetherlandsTheuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefree
6、forgeneraluse.Typesetting:bytheauthorsandSPIPublisherServicesusingaSpringerLATEXpackageCoverdesign:design&productionGmbH,HeidelbergPrintedonacid-freepaperSPIN:11688020VA41/3100/SPI543210Contents1Introduction...............................................11.1Thebeginnings............
7、..............................12Basicdefinitionsandpreliminaries.........................72.1Volume................................................102.2Meanexittime..........................................132.3Laplaceoperator........................................142.4Resistance...
8、...................
