03989nam 22006375 450 991015527760332120220330174018.03-319-46822-710.1007/978-3-319-46822-8(CKB)4340000000024208(DE-He213)978-3-319-46822-8(MiAaPQ)EBC4765262(PPN)197453961(EXLCZ)99434000000002420820161206d2016 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierMod-ϕ convergence normality zones and precise deviations /by Valentin Féray, Pierre-Loïc Méliot, Ashkan Nikeghbali1st ed. 2016.Cham :Springer International Publishing :Imprint: Springer,2016.1 online resource (XII, 152 p. 17 illus., 9 illus. in color.)SpringerBriefs in Probability and Mathematical Statistics,2365-43333-319-46821-9 Includes bibliographical references.Preface -- Introduction -- Preliminaries -- Fluctuations in the case of lattice distributions -- Fluctuations in the non-lattice case -- An extended deviation result from bounds on cumulants -- A precise version of the Ellis-Gärtner theorem -- Examples with an explicit generating function -- Mod-Gaussian convergence from a factorisation of the PGF -- Dependency graphs and mod-Gaussian convergence -- Subgraph count statistics in Erdös-Rényi random graphs -- Random character values from central measures on partitions -- Bibliography.The canonical way to establish the central limit theorem for i.i.d. random variables is to use characteristic functions and Lévy’s continuity theorem. This monograph focuses on this characteristic function approach and presents a renormalization theory called mod-ϕ convergence. This type of convergence is a relatively new concept with many deep ramifications, and has not previously been published in a single accessible volume. The authors construct an extremely flexible framework using this concept in order to study limit theorems and large deviations for a number of probabilistic models related to classical probability, combinatorics, non-commutative random variables, as well as geometric and number-theoretical objects. Intended for researchers in probability theory, the text is carefully well-written and well-structured, containing a great amount of detail and interesting examples. .SpringerBriefs in Probability and Mathematical Statistics,2365-4333ProbabilitiesNumber theoryCombinatorial analysisMatrix theoryAlgebraProbability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Number Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M25001Combinatoricshttps://scigraph.springernature.com/ontologies/product-market-codes/M29010Linear and Multilinear Algebras, Matrix Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11094Probabilities.Number theory.Combinatorial analysis.Matrix theory.Algebra.Probability Theory and Stochastic Processes.Number Theory.Combinatorics.Linear and Multilinear Algebras, Matrix Theory.519.2Féray Valentinauthttp://id.loc.gov/vocabulary/relators/aut755982Méliot Pierre-Loïcauthttp://id.loc.gov/vocabulary/relators/autNikeghbali Ashkanauthttp://id.loc.gov/vocabulary/relators/autBOOK9910155277603321Mod-ϕ Convergence1964441UNINA01619cam a22002897i 450099100304787970753620250430130202.0941110s1806 fr af b 000 0 fre db14273329-39ule_instCICOGNARA-2266ExLBibl. Interfacoltà T. PellegrinoitaHager, Joseph<1757-1819>716922Panthéon chinois, ou Parallele entre le culte religieux des Chinois :avec de nouvelles preuves que la Chine a été connue des Grecs, et que les Sérès des auturs classiques ont été des Chinois.Par Joseph Hager ...A Paris :de l'Imprimerie de P. Didot l'ainé,1806.xxxviii, [1], 175 p., [1] c. di tav. (ripieg.) :ill.; 33 cm.Dedica: "A son altesse impériale Eugene-Napoléon de France ...", pp. [v-vii].Incisioni calgrafiche.Riproduzione in microfiche dell'originale conservato presso la Biblioteca Apostolica VaticanaIndicazioni bibliografiche nelle note.Leopoldo Cicognara Program :Biblioteca Cicognara[microform] : literary sources in the history of art and kindred subjectsCatalogo ragionato dei libri d'arte e d'antichità / Leopoldo Cicognara.b1427332901-04-2228-07-16991003047879707536LE002 SB Raccolta Cicognara, mcrf 47140le002E0.00no 110000.i1574445028-07-16Panthéon chinois, ou Parallele entre le culte religieux des Chinois1389354UNISALENTOle00228-07-16mg -frefr 01