Singular combinatorics

dc.creatorFlajolet, Philippe
dc.date2003-04-28
dc.date.accessioned2026-07-07T04:57:33Z
dc.date.available2026-07-07T04:57:33Z
dc.descriptionCombinatorial enumeration leads to counting generating functions presenting a wide variety of analytic types. Properties of generating functions at singularities encode valuable information regarding asymptotic counting and limit probability distributions present in large random structures. ``Singularity analysis'' reviewed here provides constructive estimates that are applicable in several areas of combinatorics. It constitutes a complex-analytic Tauberian procedure by which combinatorial constructions and asymptotic--probabilistic laws can be systematically related.
dc.identifierhttps://arxiv.org/abs/math/0304465
dc.identifierhttp://arxiv.org/abs/math/0304465
dc.identifierProceedings of the ICM, Beijing 2002, vol. 3, 561--572
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67297
dc.subjectCombinatorics
dc.subject05A15, 05A16, 30B10, 39B05, 60C05, 60F05, 68Q25
dc.titleSingular combinatorics
dc.typetext

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