Wolff-Denjoy theorems in nonsmooth convex domains

Marco Abate (1) , Jasmin Raissy (2)

1 Dipartimento di Matematica [Pisa]
2 IMT - Institut de Mathématiques de Toulouse UMR5219

We give a short proof of Wolff-Denjoy theorem for (not necessarily smooth) strictly convex domains. With similar techniques we are also able to prove a Wolff-Denjoy theorem for weakly convex domains, again without any smoothness assumption on the boundary.

Domaines: Systèmes dynamiques [math.DS]; Variables complexes [math.CV]

Marco Abate, Jasmin Raissy. Wolff-Denjoy theorems in nonsmooth convex domains. Annali di Matematica Pura ed Applicata, 2014, 193 (5), pp.1503--1518. ⟨10.1007/s10231-013-0341-y⟩. ⟨hal-00968287⟩