English

Rescaling Limits in Non-Archimedean Dynamics

Dynamical Systems 2018-01-23 v2

Abstract

Suppose {ft}\{f_t\} is an analytic one-parameter family of rational maps defined over a non-Archimedean field KK. We prove a finiteness theorem for the set of rescalings for {ft}\{f_t\}. This complements results of J. Kiwi.

Keywords

Cite

@article{arxiv.1612.01024,
  title  = {Rescaling Limits in Non-Archimedean Dynamics},
  author = {Hongming Nie},
  journal= {arXiv preprint arXiv:1612.01024},
  year   = {2018}
}

Comments

Revised version

R2 v1 2026-06-22T17:12:38.813Z