02750nam a2200433 i 4500991003626969707536m o d cr cnu|||unuuu190321s2017 sz a ob 101 0 eng d9783319658162(electronic bk.)3319658166(electronic bk.)10.1007/978-3-319-65816-2doib1436234x-39ule_inst519.223AMS 60F10AMS 05C80LC QA274-274.9Chatterjee, Sourav721642Large deviations for random graphs[e-book] :École d'Été de Probabilités de Saint-Flour XLV - 2015 /by Sourav ChatterjeeCham :Springer,20171 online resource (xi, 170 p.)texttxtrdacontentcomputercrdamediaonline resourcecrrdacarriertext filePDFrdaLecture notes in mathematics,0075-8434 ;21971. Introduction -- 2. Preparation -- 3. Basics of graph limit theory -- 4. Large deviation preliminaries -- 5. Large deviations for dense random graphs -- 6. Applications of dense graph large deviations -- 7. Exponential random graph models -- 8. Large deviations for sparse graphs -- Index.This book addresses the emerging body of literature on the study of rare events in random graphs and networks. For example, what does a random graph look like if by chance it has far more triangles than expected? Until recently, probability theory offered no tools to help answer such questions. Important advances have been made in the last few years, employing tools from the newly developed theory of graph limits. This work represents the first book-length treatment of this area, while also exploring the related area of exponential random graphs. All required results from analysis, combinatorics, graph theory and classical large deviations theory are developed from scratch, making the text self-contained and doing away with the need to look up external references. Further, the book is written in a format and style that are accessible for beginning graduate students in mathematics and statisticsProbabilitiesCombinatorial analysisRandom graphsCongressesLarge deviationsCongressesPrinted edition:9783319658155https://link.springer.com/book/10.1007/978-3-319-65816-2An electronic book accessible through the World Wide Web.b1436234x03-03-2221-03-19991003626969707536Large deviations for random graphs1749793UNISALENTOle01321-03-19m@ -engsz 0002879nam 2200565 450 991081003290332120230803021654.090-272-7105-4(CKB)2550000001114984(EBL)1375109(SSID)ssj0000984228(PQKBManifestationID)11543042(PQKBTitleCode)TC0000984228(PQKBWorkID)11013753(PQKB)10007164(MiAaPQ)EBC1375109(Au-PeEL)EBL1375109(CaPaEBR)ebr10755528(CaONFJC)MIL514716(OCoLC)858941697(EXLCZ)99255000000111498420130828h20132013 uy| 0engur|n|---|||||txtccrThe book of fortune and prudence /Bernat Metge ; translated into English and Spanish with an introduction and notes by Antonio Cortijo Ocaña and Vicent MartinesAmsterdam ;Philadelphia :John Benjamins Publishing Company,[2013]©20131 online resource (122 p.)IVITRA research in linguistics and literature : studies, editions and translations ;volume 6Description based upon print version of record.90-272-4012-4 1-299-83465-5 Includes bibliographical references and index.The Book of Fortune and Prudence; Editorial page; Title page; LCC data; Table of contents; Introduction; Bernat Metge (1340/1346-1413); Bernat Metge's works; Lo Somni; Llibre de Fortuna e Prudència (MSS copies and Summary of Content); Literary sources; Final considerations; Selected bibliography; Translators note; El Llibre de Fortuna e Prudència / Book of Fortune and Prudence; IndexThese new translations of Bernat Metge's Libre de Fortuna e Prudència (1381) into Spanish (verse) and English (prose) make this key early work by 14th-century Catalonia's most challenging writer available to the wider audience it has longed deserved. As with Metge's masterwork, Lo somni (The Dream), recently translated by Cortijo Ocaña and Elisabeth Lagresa (Benjamins, 2013), the writing of The Book of Fortune and Prudence seems to have been precipitated by a larger crisis in Catalan society, in this case, an all-too-familiar-sounding banking crisis. Drawing on sources ranging frIVITRA research in linguistics and literature ;v. 6.849/.912Metge Bernatapproximately 1350-approximately 1410.1593629Cortijo Ocaña Antonio388974Martines Vicent1965-164316MiAaPQMiAaPQMiAaPQBOOK9910810032903321The book of fortune and prudence3913855UNINA