Lyapunov exponents of the Brownian motion on a Kähler manifold
Lyapunov exponents of the Brownian motion on a Kähler manifold
If E is a flat bundle of rank r over a Kahler manifold X, we define the Lyapunov spectrum of E: a set of r numbers controlling the growth of flat sections of E, along Brownian trajectories. We show how to compute these numbers, by using harmonic measures on the …