Deterministic (Anomalous) Transport

Anomalous Transport: A Deterministic Approach

“…The peculiar ergodic features of the map, namely the existence of a constant invariant measure for any value of γ arise from the property y= f −1 (x) 1/ f ′ (y) = 1 Also in this case we can easily identify families of orbits coming closer and closer to the marginal fixed points, but evaluating their instability requires some care, as the slope in the chaotic region is not bounded from above. A piecewise linear approximation (in the same spirit as [23]) is still possible [25], but we must put particular attention on matching the summation property : the corresponding dynamical zeta function is…”