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TitleAnalytic Variations on the Airy Distribution
Author(s) Philippe Flajolet, Guy Louchard
TypeArticle in Journal
AbstractThis report is part of a series whose aim is to present in a synthetic way the major methods and models in analytic combinatorics. Here, we detail the case of rational and algebraic functions and discuss systematically closure properties, the location of singularities, and consequences regarding combinatorial enumeration. The theory is applied to regular and context-free languages, finite state models, paths in graphs, locally constrained permutations, lattice paths and walks, trees, and planar maps.
KeywordsAnalytic combinatorics, functional equation, combinatorial enumeration, generating function, asymptotic methods
Length103
File
LanguageEnglish
JournalAlgorithmica
Volume31
Number3
Pages361-377
Year2001
Edition0
Translation No
Refereed No
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