000 03257nam a22005415i 4500
001 978-3-540-47812-6
003 DE-He213
005 20190213151411.0
007 cr nn 008mamaa
008 121227s1996 gw | s |||| 0|eng d
020 _a9783540478126
_9978-3-540-47812-6
024 7 _a10.1007/BFb0096321
_2doi
050 4 _aQA174-183
072 7 _aPBG
_2bicssc
072 7 _aMAT002010
_2bisacsh
072 7 _aPBG
_2thema
082 0 4 _a512.2
_223
100 1 _aBass, Hyman.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aCyclic Renormalization and Automorphism Groups of Rooted Trees
_h[electronic resource] /
_cby Hyman Bass, Maria Victoria Otero-Espinar, Daniel Rockmore, Charles Tresser.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1996.
300 _aXXII, 174 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1621
505 0 _aCyclic renormalization -- Itinerary calculus and renormalization -- Spherically transitive automorphisms of rooted trees -- Closed normal subgroups of Aut(X(q)).
520 _aThe theme of the monograph is an interplay between dynamical systems and group theory. The authors formalize and study "cyclic renormalization", a phenomenon which appears naturally for some interval dynamical systems. A possibly infinite hierarchy of such renormalizations is naturally represented by a rooted tree, together with a "spherically transitive" automorphism; the infinite case corresponds to maps with an invariant Cantor set, a class of particular interest for its relevance to the description of the transition to chaos and of the Mandelbrot set. The normal subgroup structure of the automorphism group of such "spherically homogeneous" rooted trees is investigated in some detail. This work will be of interest to researchers in both dynamical systems and group theory.
650 0 _aGroup theory.
650 0 _aCell aggregation
_xMathematics.
650 0 _aGlobal analysis (Mathematics).
650 1 4 _aGroup Theory and Generalizations.
_0http://scigraph.springernature.com/things/product-market-codes/M11078
650 2 4 _aManifolds and Cell Complexes (incl. Diff.Topology).
_0http://scigraph.springernature.com/things/product-market-codes/M28027
650 2 4 _aAnalysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12007
700 1 _aOtero-Espinar, Maria Victoria.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aRockmore, Daniel.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aTresser, Charles.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662187005
776 0 8 _iPrinted edition:
_z9783540605959
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1621
856 4 0 _uhttps://doi.org/10.1007/BFb0096321
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c10547
_d10547