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20172022
most citedOn Quantitative estimates for quasiintegral points in orbits of semigroups of rational functions

2 citations · 2 across the 7 of their papers we have counts for

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math.DS2022

An asymptotic for sums of Lyapunov exponents in families

Patrick Ingram, David Jaramillo-Martinez, Jorge Mello

Let f_t be a meromorphic family of endomorphisms of P^N_C of degree at least 2, and let L(f_t) be the sum of Lyapunov exponents associated to f_t. Favre showed that L(f_t)=L(f)\log…

math.DS2017

The Dynamical And Arithmetical Degrees For Eigensystems of Rational Self-maps

Jorge Mello

We define arithmetical and dynamical degrees for dynamical systems with several rational maps on projective varieties, study their properties and relations, and prove the existence…