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010   $a3-540-39936-4
024 7 $a10.1007/b14147
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035   $a(DE-He213)978-3-540-39936-0
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100   $a20121227d2003      u|             0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aCombinations of Complex Dynamical Systems$b[electronic resource] /$fby Kevin M. Pilgrim
205   $a1st ed. 2003.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2003.
215   $a1 online resource (XII, 120 p.)
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1827
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-540-20173-4 
327   $aIntroduction -- Preliminaries -- Combinations -- Uniqueness of combinations -- Decompositions -- Uniqueness of decompositions -- Counting classes of annulus maps -- Applications to mapping class groups. Examples -- Canonical decomposition theorem.
330   $aThis work is a research-level monograph whose goal is to develop a general combination, decomposition, and structure theory for branched coverings of the two-sphere to itself, regarded as the combinatorial and topological objects which arise in the classification of certain holomorphic dynamical systems on the Riemann sphere. It is intended for researchers interested in the classification of those complex one-dimensional dynamical systems which are in some loose sense tame. The program is motivated by the dictionary between the theories of iterated rational maps and Kleinian groups.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v1827
606   $aFunctions of complex variables
606   $aDynamics
606   $aErgodic theory
606   $aGlobal analysis (Mathematics)
606   $aManifolds (Mathematics)
606   $aFunctions of a Complex Variable$3https://scigraph.springernature.com/ontologies/product-market-codes/M12074
606   $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X
606   $aGlobal Analysis and Analysis on Manifolds$3https://scigraph.springernature.com/ontologies/product-market-codes/M12082
615  0$aFunctions of complex variables.
615  0$aDynamics.
615  0$aErgodic theory.
615  0$aGlobal analysis (Mathematics).
615  0$aManifolds (Mathematics).
615 14$aFunctions of a Complex Variable.
615 24$aDynamical Systems and Ergodic Theory.
615 24$aGlobal Analysis and Analysis on Manifolds.
676   $a515/.39
676   $a510 s
686   $a37F20$2msc
700   $aPilgrim$b Kevin M$4aut$4http://id.loc.gov/vocabulary/relators/aut$0150317
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996466526503316
996   $aCombinations of complex dynamical systems$9168035
997   $aUNISA