2 citations · 7 across the 17 of their papers we have counts for
19 papers
On lower bounds for canonical heights of the map
Jorge Mello
We give a lower bound for the canonical height associated to Hénon maps of non-periodic points when in the spirit of conjectures of Lang and Silverman. T…
On higher dimensional integrality and multiplicative dependence in semigroup algebraic dynamics
Jorge Mello, Yu Yasufuku
We study multiplicative dependence of points in semigroup orbits in higher dimensions. More specifically, we show that the non-density of integral points in semigroup orbits implie…
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…
Multiplicative dependence of rational values modulo approximate finitely generated groups
Attila Bérczes, Yann Bugeaud, Kálmán Győry +3
In this paper, we establish some finiteness results about the multiplicative dependence of rational values modulo sets which are `close' (with respect to the Weil height) to divisi…
On effective -integrality in orbits of rational maps over function fields and multiplicative dependence
Jorge Mello
We give effective bounds for the set quasi-integral points in orbits of non-isotrivial rational maps over function fields under some conditions, generalizing previous work of Hsia…
Cyclotomic preperiodic points for morphisms in affine spaces and preperiodic points with bounded house and height
Jorge Mello
Under special conditions, we prove that the set of preperiodic points for semigroups of self-morphisms of affine spaces falling on cyclotomic closures is not dense. generalising re…