“…Iomin, in his paper "Quantum Walks in Hilbert Space of Lévy Matrices: Recurrences and Revivals" [3], considered the quantum evolution of wave functions, which is controlled by the spectrum of Lévy random matrices. By the analytical treatment of quantum recurrences and revivals in the Hilbert space, the author showed that, for chaotic systems with a uniform mixing property, the distribution of the return probability is exponential, while in systems with nonuniform mixing, the distribution of the return probability is algebraic in large recurrence times.…”