2 papers
math.DS2026
Irrational Fatou components in non-Archimedean dynamics
Juan Rivera-Letelier
This paper studies the geometry of Fatou components in non-Archimedean dynamics. By explicitly computing a wandering domain constructed by Benedetto, it provides the first example…
math.DS2026
Locating critical points attracted to p-adic attracting cycles
Juan Rivera-Letelier
In complex dynamics, a fundamental result of Fatou and Julia asserts that every attracting cycle of a rational map attracts a critical point. The analogous statement fails in non-A…