Dynamical invariants of monomial correspondences
Dynamical Systems
2020-04-01 v2 Algebraic Geometry
Abstract
We focus on various dynamical invariants associated to toric correspondences, using algebraic geometry or arithmetic. We find a formula for the dynamical degrees, relate the exponential growth of the degree sequences with a strict log-concavity condition on the dynamical degrees and compute the asymptotic ratio of the growth of heights of points of such correspondences.
Cite
@article{arxiv.1905.05026,
title = {Dynamical invariants of monomial correspondences},
author = {Nguyen-Bac Dang and Rohini Ramadas},
journal= {arXiv preprint arXiv:1905.05026},
year = {2020}
}
Comments
15 pages, revised version, to appear in Ergodic Theory and Dynamical Systems