Computability of Julia sets
Among all computer-generated mathematical images, Julia sets of rational maps occupy one of the most prominent positions. Their beauty and complexity can be fascinating. They also hold a deep mathematical content. Computational hardness of Julia sets is the main subject of this book. By definition,...
Na minha lista:
| Principais autores: | , |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edição: | 1st ed. 2009. |
| coleção: | Algorithms and Computation in Mathematics
23 |
| Acesso em linha: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Description d'après consultation du 26 mars 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Computability of Julia sets, Mark Braverman, Michael Yampolsky, 2009, Berlin, Springer, 1 vol. (XIII-151 p.), Algorithms and computation in mathematics, 978-3-540-68546-3 |
| LEADER | 03394nam a22004337a 4500 | ||
|---|---|---|---|
| 001 | 941305 | ||
| 008 | 090420q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN132873710 | ||
| 020 | |a 9783540685470 | ||
| 041 | 0 | |a eng | |
| 082 | |a 518.1 | ||
| 084 | |a 03D15. 2010 | ||
| 084 | |a 03D80. 2010 | ||
| 084 | |a 37F10. 2010 | ||
| 084 | |a 37F50. 2010 | ||
| 084 | |a 65Y20. 2010 | ||
| 084 | |a 68Q05. 2010 | ||
| 100 | 1 | |a Braverman, Mark, |c Ph. D. | |
| 245 | 1 | 0 | |a Computability of Julia sets |c by Mark Braverman, Michael Yampolsky. |
| 250 | |a 1st ed. 2009. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Algorithms and Computation in Mathematics |v 23 | |
| 500 | |a Description d'après consultation du 26 mars 2012 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a to Computability Dynamics of Rational Mappings First Examples Positive Results Negative Results Computability versus Topological Properties of Julia Sets | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Among all computer-generated mathematical images, Julia sets of rational maps occupy one of the most prominent positions. Their beauty and complexity can be fascinating. They also hold a deep mathematical content. Computational hardness of Julia sets is the main subject of this book. By definition, a computable set in the plane can be visualized on a computer screen with an arbitrarily high magnification. There are countless programs to draw Julia sets. Yet, as the authors have discovered, it is possible to constructively produce examples of quadratic polynomials, whose Julia sets are not computable. This result is striking - it says that while a dynamical system can be described numerically with an arbitrary precision, the picture of the dynamics cannot be visualized. The book summarizes the present knowledge about the computational properties of Julia sets in a self-contained way. It is accessible to experts and students with interest in theoretical computer science or dynamical systems | ||
| 700 | 1 | |a Yampolsky, Michael, |d 1972- |4 aut | |
| 776 | 0 | |0 130036994 |t Computability of Julia sets |f Mark Braverman, Michael Yampolsky |d 2009 |c Berlin |n Springer |p 1 vol. (XIII-151 p.) |s Algorithms and computation in mathematics |z 978-3-540-68546-3 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-540-68547-0 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-9JCZ7TMK-N |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747848939 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-540-68547-0 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750866438 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-540-68547-0 |z Accès INSA CVL | |
| 997 | |0 941305 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||