Dynamical invariants of monomial correspondences

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.

15 pages, revised version, to appear in Ergodic Theory and Dynamical Systems