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1、OXFORDSTUDIESINPROBABILITYManagingEditorL.C.G.ROGERSEditorialBoardP.BAXENDALEP.GREENWOODF.P.KELLYJ.-F.LEGALLE.PARDOUXD.WILLIAMSOXFORDSTUDIESINPROBABILITY1.F.B.Knight:Foundationsofthepredictionprocess2.A.D.Barbour,L.Holst,andS.Janson:Poissonapproximation3.J.F.C.Kin
2、gman:Poissonprocesses4.V.V.Petrov:Limittheoremsofprobabilitytheory5.M.Penrose:RandomgeometricgraphsRandomGeometricGraphsMATHEWPENROSEUniversityofBathGreatClarendonStreet,OxfordOX26DPOxfordUniversityPressisadepartmentoftheUniversityofOxford.ItfurtherstheUniversity'
3、sobjectiveofexcellenceinresearch,scholarship,andeducationbypublishingworldwideinOxfordNewYorkAucklandBangkokBuenosAiresCapeTownChennaiDaresSalaamDelhiHongKongIstanbulKaarachiKolkataKualaLumpurMadridMelbourneMexicoCityMumbaiNairobiSãoPauloShanghaiTaipeiTokyoToronto
4、OxfordisaregisteredtrademarkofOxfordUniversityPressintheUKandincertainothercountriesPublishedintheUnitedStatesbyOxfordUniversityPressInc.,NewYork©MathewPenrose,2003ThemoralrightsoftheauthorhavebeenassertedDatabaserightOxfordUniversityPress(maker)Firstpublished2003
5、Reprinted2004Allrightsreserved.Nopartofthispublicationmaybereproduced,storedinaretrievalsystem,ortransmitted,inanyformorbyanymeans,withoutthepriorpermissioninwritingofOxfordUniversityPress,orasexpresslypermittedbylaw,orundertermsagreedwiththeappropriatereprographi
6、csrightsorganisation.EnquiriesconcerningreproductionoutsidethescopeoftheaboveshouldbesenttotheRightsDepartment,OxfordUniversityPress,attheaddressabove.Youmustnotcirculatethisbookinanyotherbindingorcoverandyoumustimposethissameconditiononanyacquirer.Acataloguerecor
7、dforthistitleisavailablefromtheBritishLibrary(Dataavailable)ISBN01985062601098765432PREFACERandomgeometricgraphsareeasilydescribed.Asetofpointsisrandomlyscatteredoveraregionofspaceaccordingtosomeprobabilitydistribution,andanytwopointsseparatedbyadistancelessthanac
8、ertainspecifiedvalueareconnectedbyanedge.Thisbookisanattempttodescribethemathematicaltheoryoftheresultinggraphsandtogiveaflavourofsomeoftheapplications.Is
