Abstract

We show that in the set Ω=+×(1,+)+2, endowed with the usual Lebesgue measure, for almost all (h,λ)Ω the limit limn+(1/n)ln|h(λnλn)mod[-12,12)| exists and is equal to zero. The result is related to a characterization of relaxation to equilibrium in mixing automorphisms of the two-torus. It is nothing but a curiosity, but maybe you will find it nice.