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1、RANDOMPOLYMERMODELSThispageintentionallyleftblankRANDOMPOLYMERMODELSGiambattistaGiacominUniversiteParis7–D.DiderotandLaboratoiredeProbabilitesetModelesAleatoires,CNRS–UMR7599,FranceImperialCollegePressICPPublishedbyImperialCollegePress57SheltonStreetCoventGardenLondonWC2H9HEDistributedbyW
2、orldScientificPublishingCo.Pte.Ltd.5TohTuckLink,Singapore596224USAoffice:27WarrenStreet,Suite401-402,Hackensack,NJ07601UKoffice:57SheltonStreet,CoventGarden,LondonWC2H9HEBritishLibraryCataloguing-in-PublicationDataAcataloguerecordforthisbookisavailablefromtheBritishLibrary.RANDOMPOLYMERMO
3、DELSCopyright©2007byImperialCollegePressAllrightsreserved.Thisbook,orpartsthereof,maynotbereproducedinanyformorbyanymeans,electronicormechanical,includingphotocopying,recordingoranyinformationstorageandretrievalsystemnowknownortobeinvented,withoutwrittenpermissionfromthePublisher.Forphoto
4、copyingofmaterialinthisvolume,pleasepayacopyingfeethroughtheCopyrightClearanceCenter,Inc.,222RosewoodDrive,Danvers,MA01923,USA.Inthiscasepermissiontophotocopyisnotrequiredfromthepublisher.ISBN-13978-1-86094-786-5ISBN-101-86094-786-7PrintedinSingapore.LaiFun-RandomPolymer.pmd14/12/2007,4:2
5、6PMOctober4,20068:6WSPC/BookTrimSizefor9inx6inLNRPARaika,aLydia,eaMicolnell’ordineincuisonoarrivatee,perora,inordinedialtezzaHeavilyweighsonmeattimestheburdensomereflectionthatIcannothonestlysayIamconfidentastotheexactshapeoftheonce-seen,oft-regrettedCube;andinmynightlyvisionsthemysteriousp
6、recept,“Upward,notNorthward,”hauntsmelikeasoul-devouringSphinx.ItispartofthemartyrdomwhichIendureforthecauseofTruththatthereareseasonsofmentalweakness,whenCubesandSpheresflitawayintothebackgroundofscarce-possibleexistences;whentheLandofThreeDimensionsseemsalmostasvisionaryastheLandofOneorN
7、one;nay,wheneventhishardwallthatbarsmefrommyfreedom,theseverytabletsonwhichIamwriting,andallthesubstantialrealitiesofFlatlanditself,appearnobetterthantheoffspringofadiseasedimagination,orthebaselessfabricofadream.FromFlatland:ARomanceofManyDimensionsbyEdwinA.AbbottvO