Title: Universality in Chaos: Lyapunov Spectrum and Random Matrix Theory,
Abstract: We propose the existence of a new universality in classical chaotic systems
when the number of degrees of freedom is large: the statistical property of the
Lyapunov spectrum is described by Random Matrix Theory. We demonstrate it by
studying the finite-time Lyapunov exponents of the matrix model of a stringy
black hole and the mass deformed models. The massless limit, which has a dual
string theory interpretation, is special in that the universal behavior can be
seen already at t=0, while in other cases it sets in at late time. The same
pattern is demonstrated also in the product of random matrices.