L. Vivas

activity

20062026

most citedGeodesics in the space of Kähler metrics

38 citations · 74 across the 16 of their papers we have counts for

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3 papers · 1 filter

math.DS2026

An arithmetic approach to parabolic multiplicity in complex dynamics

Xavier Buff, Valentin Huguin, Liz Vivas

When $ω$ is a primitive $n$ -th root of unity, the quadratic polynomial $F (z) = ω z (1 - z)$ and the entire map $F (z) = ω z e^{- z}$ both have a parabolic fixed point at $0$ . T…

math.DS2020★ 2 cited

Stable manifolds of biholomorphisms in $C^{n}$ asymptotic to formal curves

Lorena López-Hernanz, Javier Ribón, Fernando Sanz Sánchez +1

Given a germ of biholomorphism $F \in Diff (C^{n}, 0)$ with a formal invariant curve $Γ$ such that the multiplier of the restricted formal diffeomorphism $F ∣_{Γ}$ is a ro…

math.DS2014★ 2 cited

A polynomial skew-product with a wandering Fatou-disk

Han Peters, Liz Raquel Vivas

Little is known about the existence of wandering Fatou components for rational maps in two complex variables. In 2003 Lilov proved the non-existence of wandering Fatou components f…

An arithmetic approach to parabolic multiplicity in complex dynamics

Stable manifolds of biholomorphisms in Cn asymptotic to formal curves

A polynomial skew-product with a wandering Fatou-disk

Stable manifolds of biholomorphisms in $C^{n}$ asymptotic to formal curves