02391nam 2200565 450 991082787300332120170918215745.01-4704-0113-4(CKB)3360000000464718(EBL)3113919(SSID)ssj0000973454(PQKBManifestationID)11504620(PQKBTitleCode)TC0000973454(PQKBWorkID)10959332(PQKB)11332903(MiAaPQ)EBC3113919(RPAM)652381(PPN)195414179(EXLCZ)99336000000046471820140905h19941994 uy 0engur|n|---|||||txtccrOrthogonal decompositions and functional limit theorems for random graph statistics /Svante JansonProvidence, Rhode Island :American Mathematical Society,1994.©19941 online resource (90 p.)Memoirs of the American Mathematical Society,0065-9266 ;Number 534"September 1994, volume 111, number 534 (third of 5 numbers)."0-8218-2595-X Includes bibliographical references.""Contents""; ""Chapter I. Foundations""; ""1. Introduction""; ""2. Preliminaries""; ""Graphs""; ""The Skorokhod topology""; ""Subsequences""; ""Continuous time martingales""; ""Semimartingales""; ""Wick products""; ""3. The basic limit theorem""; ""4. The orthogonal decomposition""; ""Chapter II. Limit theorems""; ""5. Limits for G[sub(n,p)]""; ""6. Limits for G[sub(n,m)]""; ""7. Moment convergence""; ""8. Functional convergence""; ""9. The maximum""; ""Chapter III. Examples""; ""10. Subgraph counts""; ""11. Vertex degrees""; ""12. Further examples""; ""References""Memoirs of the American Mathematical Society ;Number 534.Random graphsCentral limit theoremOrthogonal decompositionsRandom graphs.Central limit theorem.Orthogonal decompositions.511/.5Janson Svante736482MiAaPQMiAaPQMiAaPQBOOK9910827873003321Orthogonal decompositions and functional limit theorems for random graph statistics3932061UNINA