For monic centered hyperbolic polynomials of any degree, the paper derives a second-order expansion of Lyapunov exponents under weighted Lyubich measures and states a sign-symmetry between real and imaginary coefficient derivatives.
Influ- ence of parametric perturbations on Lyapunov exponents of disc rete linear time-varying systems
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Lyapunov exponents of polynomials with respect to certain weighted Lyubich's measures
For monic centered hyperbolic polynomials of any degree, the paper derives a second-order expansion of Lyapunov exponents under weighted Lyubich measures and states a sign-symmetry between real and imaginary coefficient derivatives.