03431nam 22007335 450 99646652650331620210913140011.03-540-39936-410.1007/b14147(CKB)1000000000437261(SSID)ssj0000321898(PQKBManifestationID)12131450(PQKBTitleCode)TC0000321898(PQKBWorkID)10280229(PQKB)10357994(DE-He213)978-3-540-39936-0(MiAaPQ)EBC5585184(Au-PeEL)EBL5585184(OCoLC)53925508(PPN)23803657X(EXLCZ)99100000000043726120121227d2003 u| 0engurnn#008mamaatxtccrCombinations of Complex Dynamical Systems[electronic resource] /by Kevin M. Pilgrim1st ed. 2003.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2003.1 online resource (XII, 120 p.)Lecture Notes in Mathematics,0075-8434 ;1827Bibliographic Level Mode of Issuance: Monograph3-540-20173-4 Introduction -- Preliminaries -- Combinations -- Uniqueness of combinations -- Decompositions -- Uniqueness of decompositions -- Counting classes of annulus maps -- Applications to mapping class groups. Examples -- Canonical decomposition theorem.This work is a research-level monograph whose goal is to develop a general combination, decomposition, and structure theory for branched coverings of the two-sphere to itself, regarded as the combinatorial and topological objects which arise in the classification of certain holomorphic dynamical systems on the Riemann sphere. It is intended for researchers interested in the classification of those complex one-dimensional dynamical systems which are in some loose sense tame. The program is motivated by the dictionary between the theories of iterated rational maps and Kleinian groups.Lecture Notes in Mathematics,0075-8434 ;1827Functions of complex variablesDynamicsErgodic theoryGlobal analysis (Mathematics)Manifolds (Mathematics)Functions of a Complex Variablehttps://scigraph.springernature.com/ontologies/product-market-codes/M12074Dynamical Systems and Ergodic Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M1204XGlobal Analysis and Analysis on Manifoldshttps://scigraph.springernature.com/ontologies/product-market-codes/M12082Functions of complex variables.Dynamics.Ergodic theory.Global analysis (Mathematics).Manifolds (Mathematics).Functions of a Complex Variable.Dynamical Systems and Ergodic Theory.Global Analysis and Analysis on Manifolds.515/.39510 s37F20mscPilgrim Kevin Mauthttp://id.loc.gov/vocabulary/relators/aut150317MiAaPQMiAaPQMiAaPQBOOK996466526503316Combinations of complex dynamical systems168035UNISA