TY - JOUR
AB - We show that linear analytic cocycles where all Lyapunov exponents are negative infinite are nilpotent. For such one-frequency cocycles we show that they can be analytically conjugated to an upper triangular cocycle or a Jordan normal form. As a consequence, an arbitrarily small analytic perturbation leads to distinct Lyapunov exponents. Moreover, in the one-frequency case where the th Lyapunov exponent is finite and the st negative infinite, we obtain a simple criterion for domination in which case there is a splitting into a nilpotent part and an invertible part.
AU - Sadel, Christian
AU - Xu, Disheng
ID - 6086
IS - 4
JF - Ergodic Theory and Dynamical Systems
TI - Singular analytic linear cocycles with negative infinite Lyapunov exponents
VL - 39
ER -