title: Subexponential instability in one-dimensional maps implies infinite invariant measure.
abstract: We characterize dynamical instability of weak chaos as subexponential instability. We show that a one-dimensional, conservative, ergodic measure preserving map with subexponential instability has an infinite invariant measure, and then we present a generalized Lyapunov exponent to characterize subexponential instability.
authors.affiliation: Department of Applied Physics, Advanced School of Science and Engineering, Waseda University, Okubo 3-4-1, Shinjuku-ku, Tokyo 169-8555, Japan. akimoto@z8.keio.jp
authors.forename: Takuma
authors.initials: T
authors.lastname: Akimoto
authors.forename: Yoji
authors.initials: Y
authors.lastname: Aizawa