title: Escape from intermittent repellers: periodic orbit theory for crossover from exponential to algebraic decay.
abstract: We apply periodic orbit theory to study the asymptotic distribution of escape times from an intermittent map. The dynamical zeta function exhibits a branch point which is associated with an asymptotic power law escape. By an analytic continuation technique we compute a pair of complex conjugate zeroes beyond the branch point, associated with a preasymptotic exponential decay. The crossover time from an exponential to a power law is also predicted. The theoretical predictions are confirmed by numerical simulation. Applications to conductance fluctuations in quantum dots are discussed.
authors.affiliation: Mechanics Department, Royal Institute of Technology, S-100 44 Stockholm, Sweden.
authors.forename: P
authors.initials: P
authors.lastname: Dahlqvist