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monomial correspondances

Ergodic Theory and Dynamical Systems (1)

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Dynamical invariants of monomial correspondences
Part of
NGUYEN-BAC DANG, ROHINI RAMADAS
Journal:

Ergodic Theory and Dynamical Systems / Volume 41 / Issue 7 / July 2021

Published online by Cambridge University Press:

02 June 2020, pp. 2000-2015

Print publication:

July 2021
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We focus on various dynamical invariants associated to monomial correspondences on toric varieties, using algebraic and arithmetic geometry. We find a formula for their dynamical degrees, relate the exponential growth of the degree sequences to a strict log-concavity condition on the dynamical degrees and compute the asymptotic rate of the growth of heights of points of such correspondences.