The Dynamical System Generated by the 3n+1 Function
The 3n+1 function T is defined by T(n)=n/2 for n even, and T(n)=(3n+1)/2 for n odd. The famous 3n+1 conjecture, which remains open, states that, for any starting number n>0, iterated application of T to n eventually produces 1. After a survey of theorems concerning the 3n+1 problem, the main focu...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| سلاسل: | Lecture notes in mathematics
1681 |
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The dynamical system generated by the 3n + 1 function, Günther J. Wirsching, Berlin, Springer, 1998, 1 vol. (vii-158 p.), Lecture notes in mathematics, 3-540-63970-5 • The Dynamical System Generated by the 3n+1 Function, Texte imprimé, 9783662175095 |
| LEADER | 03062nam a22004337a 4500 | ||
|---|---|---|---|
| 001 | 972053 | ||
| 008 | 110927q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN15521764X | ||
| 020 | |a 9783540696773 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 100 | 1 | |a Wirsching, Günther J., |d 1960- | |
| 245 | 1 | 0 | |a The Dynamical System Generated by the 3n+1 Function |c Günther J. Wirsching. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1681 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Some ideas around 3n+1 iterations -- Analysis of the Collatz graph -- 3-adic averages of counting functions -- An asymptotically homogeneous Markov chain -- Mixing and predecessor density. | |
| 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 The 3n+1 function T is defined by T(n)=n/2 for n even, and T(n)=(3n+1)/2 for n odd. The famous 3n+1 conjecture, which remains open, states that, for any starting number n>0, iterated application of T to n eventually produces 1. After a survey of theorems concerning the 3n+1 problem, the main focus of the book are 3n+1 predecessor sets. These are analyzed using, e.g., elementary number theory, combinatorics, asymptotic analysis, and abstract measure theory. The book is written for any mathematician interested in the 3n+1 problem, and in the wealth of mathematical ideas employed to attack it. | ||
| 650 | |a Suites (mathématiques) | ||
| 650 | |a Probabilités combinatoires | ||
| 650 | |a Markov, processus de | ||
| 650 | |a Systèmes dynamiques | ||
| 650 | |a Itération (mathématiques) | ||
| 650 | |a Mélange | ||
| 650 | |a Mathématiques | ||
| 650 | |a Nombres, Théorie des | ||
| 650 | |a Ordinateurs | ||
| 776 | 0 | |0 045652333 |t The dynamical system generated by the 3n + 1 function |f Günther J. Wirsching |c Berlin |n Springer |d 1998 |p 1 vol. (vii-158 p.) |s Lecture notes in mathematics |z 3-540-63970-5 | |
| 776 | 0 | |t The Dynamical System Generated by the 3n+1 Function |b Texte imprimé |z 9783662175095 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0095985 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-ZPD823JS-3 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750645725 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0095985 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753996715 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0095985 |z Accès INSA CVL | |
| 997 | |0 972053 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||