Intuitively, black hole binaries are obvious candidates for chaotic dynamics. Firstly, they are highly non-linear systems and chaos is an expression of extreme nonlinearity. Secondly, there are isolated unstable orbits around a Schwarzschild black hole, and unstable orbits are a red flag for the onset of chaos. Surely the orbits only become more unstable and more complex when there are two blac...

We compute the decay of the velocity autocorrelation function, the Lyapunov exponent and the diffusion constant for the Sinai billiard within the framework of dynamical zeta functions. The asymptotic decay of the velocity autocorrelation function is found to be C(t) ∼ c(R)/t. The Lyapunov exponent for the corresponding map agrees with the conjectured limit λmap → −2 log(R) + C as R → 0 where C ...

Without an ultraviolet cut-off, the time evolution of the classical Yang-Mills equations give rise to a never ending cascading of the modes towards the ultraviolet, and ergodic measures and dynamical averages, such as the spectrum of characteristic Lyapunov exponents (measures of temporal chaos) or spatial correlation functions, are ill defined. A lattice regularization (in space) provides an u...