21 citations · 62 across the 20 of their papers we have counts for
19 papers · 1 filter
Simultaneous linearization and centralizers of parabolic self-maps I: zero hyperbolic step
Manuel D. Contreras, Santiago Díaz-Madrigal, Pavel Gumenyuk
Let be a parabolic self-map of the unit disc having zero hyperbolic step. We study holomorphic self-maps of commuting with .…
Infinitesimal generators of semigroups with prescribed boundary fixed points
Manuel D. Contreras, Santiago Díaz-Madrigal, Pavel Gumenyuk
We study infinitesimal generators of one-parameter semigroups in the unit disk having prescribed boundary regular fixed points. Using an explicit representation of such…
A characterization of orthogonal convergence in simply connected domains
Filippo Bracci, Manuel D. Contreras, Santiago Díaz-Madrigal +1
Let be the unit disc in and let be a Riemann map, . We give a necessary and sufficient condition in terms of hyp…
On the Königs function of semigroups of holomorphic self-maps of the unit disc
Filippo Bracci, Manuel D. Contreras, Santiago Díaz-Madrigal
Let be a semigroup of holomorphic self-maps of~. In this note, we use an abstract approach to define the Königs function of and "holomorphic models" and…
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…
Topological invariants for semigroups of holomorphic self-maps of the unit disc
Filippo Bracci, Manuel D. Contreras, Santiago Diaz-Madrigal
Let , be two one-parameter semigroups of holomorphic self-maps of the unit disc . Let be a homeomorphism. We…