Mathematical Research Letters

Volume 20 (2013)

Number 4

Dynamics of two-resonant biholomorphisms

Pages: 757 – 771



Jasmin Raissy (Institut de Mathématiques de Toulouse, Université Paul Sabatier, Toulouse, France)

Liz Vivas (Department of Mathematics, Purdue University, West Lafayette, Indiana, U.S.A.)


In this paper, we study the existence of basins of attraction for germs of tworesonant biholomorphisms of $\mathbb{C}^n$ fixing a point, that is germs such that the eigenvalues of the differential at the fixed point have a two dimensional family of resonances.

Full Text (PDF format)