On the Lyapunov exponents of linear extensions of an irrational flow on a torus (Q2704301)

Consider the dynamical system NEWLINE\[NEWLINE f^t(v)=(v_1+t\omega_1\pmod 1,\dots, v_m+t\omega_m\pmod 1)NEWLINE\]NEWLINE on the \(m\)-dimensional torus \(T^m\). It is assumed that the numbers \(\omega_1,\dots, \omega_m\) are rationally independent. Let \(A\) be a mapping from \(T^m\) to the space of \(m\times m\)-matrices. The author describes the Lyapunov spectrum of the system \(x'=A(f^t(v))x\).