Morphic heights and periodic points
Number Theory
2014-11-18 v1 Dynamical Systems
Abstract
An approach to the calculation of local canonical morphic heights is described, motivated by the analogy between the classical height in Diophantine geometry and entropy in algebraic dynamics. We consider cases where the local morphic height is expressed as an integral average of the logarithmic distance to the closure of the periodic points of the underlying morphism. The results may be thought of as a kind of morphic Jensen formula.
Cite
@article{arxiv.math/0204179,
title = {Morphic heights and periodic points},
author = {Manfred Einsiedler and Graham Everest and Thomas Ward},
journal= {arXiv preprint arXiv:math/0204179},
year = {2014}
}