2 papers
math.CV2026
The Bergman and the growth numbers of domains and hyperbolic geometry
Manuel D. Contreras, Francisco J. Cruz-Zamorano, Luis RodrÃguez-Piazza
In this article we completely characterize the Bergman number of general domains. Namely, we prove that the Bergman number of a hyperbolic unbounded domain can be calculated in ter…
math.CV2024
Examples in Discrete Iteration of Arbitrary Intervals of Slopes
Manuel D. Contreras, Francisco J. Cruz-Zamorano, Luis RodrÃguez-Piazza
Given a compact interval , we construct a parabolic self-map of the upper half-plane whose set of slopes is . The nature of this construction is comple…