Algebraic entropy in locally linearly compact vector spaces
Dynamical Systems
2021-01-05 v1 General Topology
Group Theory
Abstract
We introduce the algebraic entropy for continuous endomorphisms of locally linearly compact vector spaces over a discrete field, as the natural extension of the algebraic entropy for endomorphisms of discrete vector spaces. We show that the main properties of entropy continue to hold in the general context of locally linearly compact vector spaces, in particular we extend the Addition Theorem.
Cite
@article{arxiv.1612.01899,
title = {Algebraic entropy in locally linearly compact vector spaces},
author = {Ilaria Castellano and Anna Giordano Bruno},
journal= {arXiv preprint arXiv:1612.01899},
year = {2021}
}
Comments
17 pages