Conformal irregularity for Denjoy diffeomorphisms of the 2-torus (Q1335192)

The paper presents a generalization of the classical Denjoy theorem on a \(C^ 1\)-diffeomorphism of the circle \(T^ 1\) to the case of the two- dimensional torus \(\mathbb{T}^ 2\). The authors concentrate on diffeomorphisms of \(\mathbb{T}^ 2\) obtained topologically from a minimal translation of \(\mathbb{T}^ 2\) by ``blowing up one or more orbits into disks'', as in the case of Denjoy circle homeomorphisms.