Matches in SemOpenAlex for { <https://semopenalex.org/work/W2495375184> ?p ?o ?g. }
Showing items 1 to 76 of
76
with 100 items per page.
- W2495375184 endingPage "178" @default.
- W2495375184 startingPage "147" @default.
- W2495375184 abstract "In this chapter we describe what quasiconformal surgery is about and explain the surgeries which were developed as the first occurrences of this technique: the parametrization of hyperbolic components of the Mandelbrot set and the proof of the No Wandering Domains Theorem. Generalities What is known as quasiconformal surgery in holomorphic dynamics is a technique commonly used to construct holomorphic maps with prescribed dynamics. The ‘prescribed dynamics’ are given by a map f which in general is not holomorphic, although it may be. We shall refer to f as the model map . The word surgery appears because one may need to ‘cut’ and ‘paste’ different spaces and maps together to construct f . This is usually the first step in the construction and is known as topological surgery . We are leaving the holomorphic world in order to have a greater choice for our models, and then checking whether the model map has a ‘holomorphic dynamical copy’, i.e. whether there exists a holomorphic map conjugate to f . The main tool for obtaining ‘holomorphic dynamical copies’ is to apply the Integrability Theorem (Theorem 1.28), which provides a quasiconformal conjugacy to return to the holomorphic setting (see the Key Lemma (Lemma 1.39)). It follows that we should look for models in the space of quasiregular maps (see Proposition 1.37)." @default.
- W2495375184 created "2016-08-23" @default.
- W2495375184 creator A5016075578 @default.
- W2495375184 creator A5018147584 @default.
- W2495375184 date "2014-02-12" @default.
- W2495375184 modified "2023-09-27" @default.
- W2495375184 title "Introduction to surgery and first occurrences" @default.
- W2495375184 doi "https://doi.org/10.1017/cbo9781107337602.006" @default.
- W2495375184 hasPublicationYear "2014" @default.
- W2495375184 type Work @default.
- W2495375184 sameAs 2495375184 @default.
- W2495375184 citedByCount "0" @default.
- W2495375184 crossrefType "book-chapter" @default.
- W2495375184 hasAuthorship W2495375184A5016075578 @default.
- W2495375184 hasAuthorship W2495375184A5018147584 @default.
- W2495375184 hasConcept C11997311 @default.
- W2495375184 hasConcept C132954091 @default.
- W2495375184 hasConcept C172294467 @default.
- W2495375184 hasConcept C184908153 @default.
- W2495375184 hasConcept C18903297 @default.
- W2495375184 hasConcept C199360897 @default.
- W2495375184 hasConcept C202444582 @default.
- W2495375184 hasConcept C204575570 @default.
- W2495375184 hasConcept C2777759810 @default.
- W2495375184 hasConcept C2780801425 @default.
- W2495375184 hasConcept C33923547 @default.
- W2495375184 hasConcept C41008148 @default.
- W2495375184 hasConcept C42030387 @default.
- W2495375184 hasConcept C45237699 @default.
- W2495375184 hasConcept C46757340 @default.
- W2495375184 hasConcept C86803240 @default.
- W2495375184 hasConceptScore W2495375184C11997311 @default.
- W2495375184 hasConceptScore W2495375184C132954091 @default.
- W2495375184 hasConceptScore W2495375184C172294467 @default.
- W2495375184 hasConceptScore W2495375184C184908153 @default.
- W2495375184 hasConceptScore W2495375184C18903297 @default.
- W2495375184 hasConceptScore W2495375184C199360897 @default.
- W2495375184 hasConceptScore W2495375184C202444582 @default.
- W2495375184 hasConceptScore W2495375184C204575570 @default.
- W2495375184 hasConceptScore W2495375184C2777759810 @default.
- W2495375184 hasConceptScore W2495375184C2780801425 @default.
- W2495375184 hasConceptScore W2495375184C33923547 @default.
- W2495375184 hasConceptScore W2495375184C41008148 @default.
- W2495375184 hasConceptScore W2495375184C42030387 @default.
- W2495375184 hasConceptScore W2495375184C45237699 @default.
- W2495375184 hasConceptScore W2495375184C46757340 @default.
- W2495375184 hasConceptScore W2495375184C86803240 @default.
- W2495375184 hasLocation W24953751841 @default.
- W2495375184 hasOpenAccess W2495375184 @default.
- W2495375184 hasPrimaryLocation W24953751841 @default.
- W2495375184 hasRelatedWork W1525989486 @default.
- W2495375184 hasRelatedWork W1568995160 @default.
- W2495375184 hasRelatedWork W1980975558 @default.
- W2495375184 hasRelatedWork W2002734773 @default.
- W2495375184 hasRelatedWork W2018148506 @default.
- W2495375184 hasRelatedWork W2104214939 @default.
- W2495375184 hasRelatedWork W2261045018 @default.
- W2495375184 hasRelatedWork W2295227791 @default.
- W2495375184 hasRelatedWork W2497367629 @default.
- W2495375184 hasRelatedWork W2528091534 @default.
- W2495375184 hasRelatedWork W2764182748 @default.
- W2495375184 hasRelatedWork W2771729371 @default.
- W2495375184 hasRelatedWork W2809915226 @default.
- W2495375184 hasRelatedWork W2920228089 @default.
- W2495375184 hasRelatedWork W2970708585 @default.
- W2495375184 hasRelatedWork W2971760852 @default.
- W2495375184 hasRelatedWork W3078343380 @default.
- W2495375184 hasRelatedWork W336075374 @default.
- W2495375184 hasRelatedWork W1883134404 @default.
- W2495375184 hasRelatedWork W2596939162 @default.
- W2495375184 isParatext "false" @default.
- W2495375184 isRetracted "false" @default.
- W2495375184 magId "2495375184" @default.
- W2495375184 workType "book-chapter" @default.