Santiago D'iaz-Madrigal

collaborators

3 papers

math.CV2020

Angular extents and trajectory slopes in the theory of holomorphic semigroups in the unit disk

Manuel D. Contreras, Santiago Díaz-Madrigal, Pavel Gumenyuk

We study relationships between the asymptotic behaviour of a non-elliptic semigroup of holomorphic self-maps of the unit disk and the geometry of its planar domain (the image of th…

math.CV2018

Asymptotic behavior of orbits of holomorphic semigroups

Filippo Bracci, Manuel D. Contreras, Santiago Díaz-Madrigal +2

Let $(ϕ_{t})$ be a holomorphic semigroup of the unit disc (i.e., the flow of a semicomplete holomorphic vector field) without fixed points in the unit disc and let $Ω$ be the starlik…

math.CV2018

Non-tangential limits and the slope of trajectories of holomorphic semigroups of the unit disc

Filippo Bracci, Manuel D. Contreras, Santiago Díaz-Madrigal +1

Let $Δ ⊊ C$ be a simply connected domain, let $f : D \to Δ$ be a Riemann map and let ${z_{k}} \subset Δ$ be a compactly divergent sequence. Using Gromov's hype…