Eigenvalue curves of asymmetric tridiagonal random matrices.
Estimates for Principal Lyapunov Exponents: A Survey
This is a survey of known results on estimating the principal Lyapunov exponent of a timedependent linear differential equation possessing some monotonicity properties. Equations considered are mainly strongly cooperative systems of ordinary differential equations and parabolic partial differential equations of second order. The estimates are given either in terms of the principal (dominant) eigenvalue of some derived time-independent equation or in terms of the parameters of the equation itself....
Existence of non-uniform cocycles on uniquely ergodic systems
Exposants caractéristiques de l'algorithme de Jacobi-Perron et de la transformation associée
On montre que les exposants de Lyapunov de l’algorithme de Jacobi-Perron, en dimension quelconque, sont tous différents et que la somme des exposants extrêmes est strictement positive. En particulier, si , le deuxième exposant est strictement négatif.