Manuel D. Contreras

activity

20062023

most citedHolomorphic self-maps of the disk intertwining two linear fractional maps

21 citations · 89 across the 25 of their papers we have counts for

collaborators

Showing 2018 · math.CVShow all

5 papers · 2 filters

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

A characterization of orthogonal convergence in simply connected domains

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

Let $D$ be the unit disc in $C$ and let $f : D \to C$ be a Riemann map, $Δ = f (D)$ . We give a necessary and sufficient condition in terms of hyp…

math.CV2018

On the Königs function of semigroups of holomorphic self-maps of the unit disc

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

Let $(ϕ_{t})$ be a semigroup of holomorphic self-maps of~ $D$ . In this note, we use an abstract approach to define the Königs function of $(ϕ_{t})$ and "holomorphic models" and…

math.CV2018

Backward orbits and petals of semigroups of holomorphic self-maps of the unit disc

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

We study the backward invariant set of one-parameter semigroups of holomorphic self-maps of the unit disc. Such a set is foliated in maximal invariant curves and its open connected…

math.CV2018★ 6 cited

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…