Regularity of Lyapunov exponents at one-point Lyapunov spectra: the semisimple case

Yingjian Liu, Marcelo Viana

We study the regularity of Lyapunov exponents as functions on the space of compactly supported probability measures on $\mathrm{GL}(d,\mathbb{R})$. We prove that the Lyapunov expon…