Nonarchimedean dynamical systems

Jonathan Lubin

Compositio Mathematica (1994)

  • Volume: 94, Issue: 3, page 321-346
  • ISSN: 0010-437X

How to cite

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Lubin, Jonathan. "Nonarchimedean dynamical systems." Compositio Mathematica 94.3 (1994): 321-346. <http://eudml.org/doc/90340>.

@article{Lubin1994,
author = {Lubin, Jonathan},
journal = {Compositio Mathematica},
keywords = {nonarchimedean dynamical systems; iterates; -adic analytic transformation; formal groups; -adic open unit disk},
language = {eng},
number = {3},
pages = {321-346},
publisher = {Kluwer Academic Publishers},
title = {Nonarchimedean dynamical systems},
url = {http://eudml.org/doc/90340},
volume = {94},
year = {1994},
}

TY - JOUR
AU - Lubin, Jonathan
TI - Nonarchimedean dynamical systems
JO - Compositio Mathematica
PY - 1994
PB - Kluwer Academic Publishers
VL - 94
IS - 3
SP - 321
EP - 346
LA - eng
KW - nonarchimedean dynamical systems; iterates; -adic analytic transformation; formal groups; -adic open unit disk
UR - http://eudml.org/doc/90340
ER -

References

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  1. [BM] S. Ben-Menahem: p-adic iterations, preprint, Tel-Aviv University Physics1627-88 (1988). 
  2. [C] L. Comtet: Advanced Combinatorics, Reidel, 1974. Zbl0283.05001MR460128
  3. [Fr] A. Fröhlich: Formal Groups, Lecture Notes in Mathematics, vol. 74, Springer-Verlag, 1968. Zbl0177.04801MR242837
  4. [H] M. Hazewinkel: Formal Groups and Applications, Academic Press, 1978. Zbl0454.14020MR506881
  5. [La1] M. Lazard: Les zéros des fonctions analytiques d'une variable sur un corps valué complet, Inst. Hautes Etudes Sci. Publ. Math.14 (1962) 47-75. Zbl0119.03701MR152519
  6. [La2] M. Lazard: Commutative Formal Groups, Lectures Notes in Mathemaics, vol 443, Springer-Verlag, 1975. Zbl0304.14027MR393050
  7. [Lu] J. Lubin: Canonical subgroups of formal groups, Trans. Amer. Math. Soc.251 (1979) 103-127. Zbl0431.14014MR531971
  8. [LT] J. Lubin and J. Tate: Formal complex multiplication in local fields, Ann. Math.81 (1965) 380-387. Zbl0128.26501MR172878
  9. [Sen] S. Ren: Ramification in p-adic Lie extensions, Invent. Math.17 (1972) 44-50. Zbl0242.12012MR319949
  10. [Ser] J.-P. Serre: Sur les groupes de Galois attachés aux groupes p-divisibles, in Proceedings of a Conference on Local Fields held at Driebergen, Springer-Verlag, 1966. Zbl0189.02901MR242839
  11. [T] J. Tate: p-divisible groups, in Proceedings of a Conference on Local Fields held at Driebergen, Springer-Verlag, 1966. Zbl0155.00204MR231827
  12. [TVW] E. Thiran, D. Verstegen and J. Weyers: p-adic dynamics, J. Stat. Phys.54 (1989) 893-913. Zbl0672.58019MR988564

Citations in EuDML Documents

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  1. Hua-Chieh Li, Counting periodic points of p -adic power series
  2. Ghassan Sarkis, Joel Specter, Galois extensions of height-one commuting dynamical systems
  3. Hua-Chieh Li, p -adic dynamical systems and formal groups
  4. François Laubie, Substitutions commutatives de séries formelles
  5. Laurent Berger, Lifting the field of norms
  6. Jean-Pierre Wintenberger, Automorphismes des corps locaux de caractéristique p .
  7. Jean-Paul Bézivin, Sur les ensembles de Julia et Fatou des fonctions entières ultramétriques

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