21 citations · 27 across the 4 of their papers we have counts for
6 papers
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…
Asymptotic behavior of orbits of holomorphic semigroups
Filippo Bracci, Manuel D. Contreras, Santiago Díaz-Madrigal +2
Let 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 be the starlik…
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 be a simply connected domain, let be a Riemann map and let be a compactly divergent sequence. Using Gromov's hype…
Classical and stochastic Löwner-Kufarev equations
Filippo Bracci, Manuel D. Contreras, Santiago Díaz-Madrigal +1
In this paper we present a historical and scientific account of the development of the theory of the Löwner-Kufarev classical and stochastic equations spanning the 90-year period f…
Holomorphic self-maps of the disk intertwining two linear fractional maps
Manuel D. Contreras, Santiago Díaz-Madrigal, María J. Martín +1
We characterize (in almost all cases) the holomorphic self-maps of the unit disk that intertwine two given linear fractional self-maps of the disk. The proofs are based on iteratio…
Digons and angular derivatives of analytic self-maps of the unit disk
Manuel D. Contreras, Santiago Díaz-Madrigal, Alexander Vasil'ev
We present a geometric approach to a well-known sharp inequality, due to Cowen and Pommerenke, about angular derivatives of general univalent self-maps of the unit disk.