000 | 03257nam a22005415i 4500 | ||
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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 |
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024 | 7 |
_a10.1007/BFb0096321 _2doi |
|
050 | 4 | _aQA174-183 | |
072 | 7 |
_aPBG _2bicssc |
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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. |
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300 |
_aXXII, 174 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1621 |
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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 |