Invariant manifolds for finite-dimensional non-archimedean dynamical systems
Dynamical Systems
2015-01-12 v2
Abstract
Let M be an analytic manifold modelled on an ultrametric Banach space over a complete ultrametric field. Let f be an analytic diffeomorphism from M onto itself and p be a fixed point of f. We discuss invariant manifolds around p, like stable manifolds, centre-stable manifolds and centre manifolds, with an emphasis on results specific to the case that M has finite dimension. The results have applications in the theory of Lie groups over totally disconnected local fields.
Keywords
Cite
@article{arxiv.1412.2246,
title = {Invariant manifolds for finite-dimensional non-archimedean dynamical systems},
author = {Helge Glockner},
journal= {arXiv preprint arXiv:1412.2246},
year = {2015}
}
Comments
v2: minor revisions, 25 pages. The preprint is based on unpublished parts of the author's preprint arXiv:0808.2709 [math.DS]